Surname, Given Names:
Place and Date of Birth:
Citizenship:
Language Capabilities:
Academic Department:
Current Rank:
degre Institution Major Field
Pre-Ing. 1966 École de Génie de Chicoutimi Physics Ing.
B.Sc 1969 Université Laval Theoretical Physics
Degree Dat
Ph.D. 1973 Université Laval Applied Mathematics
Additional academic qualifications
- 1973-1974 Université Laval, Sainte-Foy
Post-Doc. Studies (Special Functions), Department of Mathematics
- 1974-1975 Université de Sorbonne, Campus Pierre et Marie Curie 7-9 Quai Saint-Bernard, Paris V, France
Post-Doc. Studies (Combinatory and Statistics), Institut de statistiques des universités de Paris
- 1975-1976 Université Laval, Sainte-Foy
Post-Doc. Studies (Theoretical Optics and Mathematics), Research Institute in Optics and Hyper-Frequencies
1- 2011-University of Quebec at Chicoutimi (UQAC), Chicoutimi, Québec
Retired professor.
2- 1988-2011, University of Quebec at Chicoutimi (UQAC), Chicoutimi, Québec
Full Professor, Department of Computer Science and Mathematics.
3- 1985-1987, University of Quebec at Chicoutimi, Chicoutimi (UQAC), Québec
Associate Professor, Department of Computer Science and Mathematics.
4- 1983-1985 Laval University, Sainte-Foy, Québec
Associate Professor, School of Actuarial Science.
5- 1981-1983, Laval University, Sainte-Foy, Québec
Lecturer, School of Actuarial. Science.
6- 1983-1984, National Union of Aluminum Employees of Arvida (SNEAA), Jonquière, Québec
Research consultant in Statistics.
7- 1981-1983, University of Quebec at Chicoutimi (UQAC), Chicoutimi, Québec
Assistant Professor, Department of Economic and Administrative Sciences.
8- 1976-1981, Royal Military College of Canada, Kingston, Ontario
Associate Professor, Department of Computer Science and Mathematics.
9- 1975-1976, Laval University, Sainte-Foy, Québec
Lecturer, Research assistant, Department of Mathematics.
10-1972-1974, ALCAN Plant Research Center, Arvida, Jonquière, Québec
Research consultant in Mathematic.
11- 1971-1972, Laval University, Sainte-Foy, Québec
Research assistant, Department of Physics and Mathematics.
12- 1971-1973, University of Quebec at Chicoutimi (UQAC), Chicoutimi, Québec
Lecturer, Department of Mathematics.
1- TREMBLAY, R., Fractional derivatives of logarithmic singular fuctions and applications to special funstions, Montes Taurus J. Pure Appl. Math. (2020) (Accepted for publication).
2- TREMBLAY, R., New Quadratic Transformations of Hypergeometric Functions and
Associated Summation Formulas Obtained with the Well-Poised Fractional Calculus Operator, Montes Taurus J. Pure Appl. Math. 2 (1, 2020), 36–62
3- TREMBLAY R., GABOURY S., Well-Posed Fractional Calculus Operator: Obtaining New Transformations Formulas Involving Gauss Hypergeometric Functions with Rational Quadratic, Cubic and Higher Degree Arguments, Math. Meth. Appl. Sc. 13 (2018), 4967–4985.
4- GABOURY S., TREMBLAY R., Generalized multiple integral representations for a large family of polynomials with applications, Appl. Math. Comput. 261 (2015), 39-47.
5- GABOURY S., TREMBLAY R., Summation formulas obtained by means of the generalized chain rule for fractional derivatives, J. Complex Anal. (2014), Article ID 820951, 1-7.
6- GABOURY S., TREMBLAY R., ÖZARSLAN, M. A. , Some Bilateral Generating Functions Involving the Erkus-Srivastava Polynomials and Some General Classes of Multivariable Polynomials, Tamkang J. Math. 45 (4) (2014), 341-356.
7- SRIVASTAVA, H. M., GABOURY S., TREMBLAY R., New relations involving an extended multiparameter Hurwitz-Lerch zeta function with applications, Int. J. Anal. 2014 (2014), Article ID 680850, 1-14.
8- GABOURY S., TREMBLAY R., Remark on certain transformations for multiple hypergeometric function, Adv. Difference Equ. 2014 (2014), Article ID 126, 1-12.
9- TREMBLAY R., GABOURY S., A further investigation of generating functions related to pairs of inverse functions with applications to generalized degenerate Bernoulli polynomials, Bull. Korean Math. Soc. 51 (3) (2014), 831-845.
10- GABOURY S., TREMBLAY R., FUGÈRE B. J., Some Explicit Formulas for Certain New Classes of Bernoulli, Euler and Genocchi Polynomials, Proc. Jangjeon Math. Soc. 17 (1) (2014), 115-123.
11- GABOURY S., TREMBLAY R., A note on some new series of special functions, Integral Transforms Spec. Funct. 25 (5) (2014), 336-343.
12- GABOURY S., TREMBLAY R., Application of a Taylor-like Expansion Theorem involving fractional derivatives to multivariable H-function, Adv. Stud. Contemp. Math. 23 (2) (2013), 287-299.
13- GABOURY S., TREMBLAY R., FUGÈRE B. J., Some Relations Involving A Generalized Fractional Derivative Operator, J. Inequal. Appl. 2013 (2013), Article ID 167. 1-10.
14- GABOURY S., ÖZARSLAN, M. A. ,TREMBLAY R., Some Bilateral Generating Functions Involving the Chan-Chyan-Srivastava Polynomials and Some General Classes of Multivariable Polynomials, Comm. Korean Math. Soc. 28 (4) (2013), 783-797.
15- GABOURY S., TREMBLAY R., FUGÈRE B. J., Applications of a New Leibniz-Type Rule For Fractional Derivatives to Several Variables, Panamer. Math. J. 23 (3) (2013), 15-25.
16- TREMBLAY R., GABOURY S., FUGÈRE B. J., A new transformation formula for fractional derivatives with applications, Integral Transforms Spec. Funct. 24 (3) (2013), 172-186.
17- GABOURY S., TREMBLAY R., An Expansion Theorem Involving H-function of Several Complex Variables, Int. J. Anal. 2013 (2013), Article ID 353547, 1-7.
18- TREMBLAY R., GABOURY S., FUGÈRE B. J., A new Leibniz rule and its integral analogue for fractional derivatives, Integral Transforms Spec. Funct. 24 (2) (2013), 111-128.
19- TREMBLAY R., GABOURY S., FUGÈRE B. J., Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives, Integral Transforms Spec. Funct. 24 (1) (2013), 50-64.
20- TREMBLAY R., GABOURY S., FUGÈRE B. J., Symmetry Properties for a Unified Class of Polynomials Attached to chi, J. Appl. Math. Inform. 31 (1-2) (2013), 119-130.
21- GABOURY S., TREMBLAY R., FUGÈRE B. J., Some Series Identities For Some Special Classes of Apostol-Bernoulli and Apostol-Euler Polynomials Related to Generalized Power and Alternating Sums, Bull. Math. Anal. Appl. 4 (4) (2012), 76-90.
22- TREMBLAY R., GABOURY S., FUGÈRE B. J., A Further Generalization of Apostol-Bernoulli Polynomials and related Polynomials, Honam Math. J. 34 (3) (2012), 311-326.
23- TREMBLAY R., GABOURY S., FUGÈRE B. J., Leibniz Rules and Integral Analogues for Fractional Derivatives Via a New Transformation Formula, Bull. Math. Anal. Appl. 4 (2) (2012), 72-82.
24- TREMBLAY R., GABOURY S., FUGÈRE B. J., Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials, Int. J. Math. Math. Sci. 2012 (2012), Article ID 182785, 1-14.
25- TREMBLAY R., GABOURY S., FUGÈRE B. J., Integral Analogue of a New Leibniz-Type Rule for Fractional Derivatives and Its Applications to Functions of Several Variables, Int. J. Contemp. Math. Sci. 7 (38) (2012), 1877-1887.
26- GABOURY S., TREMBLAY R., FUGÈRE B. J., On Barnes multiple Hurwitz Zeta Functions and Dirichlet-Type Multiple L-Functions Related to Unified Class of Polynomials, Far East J. Appl. Math. 68 (1) (2012), 1-19.
27- TREMBLAY R., GABOURY S., FUGÈRE B. J., A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava- Pintér addition theorem, Appl. Math. Lett. 24 (11) (2011), 1888-1893.
28- GABOURY S., TREMBLAY R., FUGÈRE B. J., Generalized Leibniz rule for annded fractional derivative operator with applications to special functions, Selçuk J. Appl. Math. 12 (2) (2011), 119-134.
29- TREMBLAY, R., FUGÈRE, B. J., A Formula Containing a Large Class of Operational Representations of Polynomials, Int. J. Math. & Stat. Sci., Vol. 5, No. 1 (1996), 63-76.
30- TREMBLAY, R., FUGÈRE, B. J.,Products of Two Restricted Hypergeometric, Jour. Math. Anal. and Appl. 198( 1996), 844-852.
31- TREMBLAY, R., FUGÈRE, B. J., Commutativity of the Fractional Operator and a generalization of a glaisher's result, Integral Transforms and Special Functions, Vol. 2, No. 4 (1994), 285-314.
32-TREMBLAY, R., FUGÈRE, B. J., Expansions of Operators Related to xD and the Fractional Derivative, SIAMJ. Math., Anal. Vol. 15, no 6 (1984), 1214-1219.
33- TREMBLAY, R., LAVOIE, J. L., SRIVASTAVA, H. M., A class of Addition Theorems, Can. Cath. Bull. Vol. 26 (4) (1983), 438-445.
34- TREMBLAY, R., FUGÈRE, B. J., Ricci Curvature and Hamilton Jacobi Equation, Commemoration volumes for Prof. A. Kawaguchi, Tensor J. Vol. 39 (1982), 306-308.
35- TREMBLAY, R., LAVOIE, J. L., Jabotinsky Matrix of a Power Series, SIAM J. Math. Anal. Vol. 12, no 6 (1981), 819-825.
36- LAVOIE, J. L., TREMBLAY, R., A note on the Number of Derangements, JNANABHA J. (prof. Arthur Erdélyi Memorial), vol. 9/10 (1980), 139-142.
37- TREMBLAY, R., Some Operational Formulas involving the Operators xD, x∆ and Fractional Derivatives, SIAM J. Math. Anal., Vol. 10, no 5, (1979), 933-943.
38- - TREMBLAY, R., LAVOIE, J. L., SRIVASTAVA, H. M., The Rodrigues Type Representation for a Certain Class of Special Functions, Annali di Math. Pura ed Applicata (IV), Vol. XCIX (1977).
39- TREMBLAY, R., LAVOIE, J. L., SRIVASTAVA, H. M., The Rodrigues Type Representation for a Certain Class of Special Functions, Notices Amer. Math. Soc., 24 (1979), 9-24.
40- TREMBLAY, R., BARIL, M., PAQUIN, M., Study on Secondary Electron Emission of the First Dynode of an Electro Multiplier Under the Impact of Negative Ions, The American Society of Mass Spectrometry, Washington University, Washington, U.S.A., June 1977.
41- TREMBLAY, R., Solution of Advances Problem 5988, Problem proposed by B. Ross in A.M.M., Vol. 81, no 8, p. 910, Amer. Math. Mont., (1976), 386-387.
42- TREMBLAY, R., LAVOIE, J. L., OSLER, T.J., Fractional Derivatives and Special Functions, SIAMReview, Vol. 18, no 2, (1976), 240-268.
43- TREMBLAY, R., LAVERTU, L. M., Sur une série impliquant les puissances des zéros d'un polynôme, Comp. R. Ac. Sc. de Paris, t. 282, série A, (1976), 155-157.
44- TREMBLAY, R., LAVOIE, J. L., The Sums of Certain Hypergeometric Series, JNANABHA, Section A, Vol. 5 (1975), 129-135,
45- TREMBLAY, R., LAVOIE, J. L., OSLER, T.J., Fundamental Properties of Fractional Derivatives Via Pochhammer Integrals, Lecture Nots in Mathematics on Fractional Calculus and Its Applications, No. 457, Springer-Verlag, Verlin-Heidelberg-New-York, (1975), 323-356.
46- TREMBLAY, R., LAVOIE, J. L., A note on a Paper of Williamson, Bulletin of the Australian Mathematical Society, Vol. 12, no 3 (1975), 379-381.
47-TREMBLAY, R., LAVOIE, J. L., OSLER, T.J., Fundamental Properties of Fractional Derivatives via Pochhammer Integrals, International Conference on Fractional Calculus and its Applications, University of New Haven, West Haven Connecticut, U.S.A., June 1974.
48- TREMBLAY, R., Une contribution à la théorie de la dérivée fractionnaire, Ph. D. thesis, Université Laval, Sainte-Foy (544 pages), 1973.
49- TREMBLAY, R., LAVOIE, J. L., Certain Sums Involving Generalized Hypergeometric Fucntions, Indian Journal of Mathematics, Vol. 15, no 1, pp. 7-12, 1973.
50- TREMBLAY, R., LAVOIE, J. L., OSLER, T.J., SIAM 1973 National Meeting, Hampton, Virginia, U.S.A., Fundamental Properties of Fractional Derivatives via Pochhammer Integrals, June 1973.
51- TREMBLAY, R., LAVERTU, L. M., P. Humbert.s Confluent Hypergeometric Function, Jnanabha, Section (A), Vol. 2 (1972), 11-18.
TREMBLAY, R.,“On the Process of Knowledge Acquisition of Techniques Involved in Flying Light Airplanes”, International Conference on Humain-Computer Interaction in Aeronautics, Montréal, May 1998.
TREMBLAY, R., SAVOIE, P., “Processus d’acquisition des heuristiques liées à la technique de pilotage d’aéronefs en contexte d’approche et d’atterrissage”, Research report, Ministry of Education, General Directorate of College Education, September 1996.
TREMBLAY, R., SAVOIE, P., DAIGNEAULT, A.,“Support visuel de l’exercice d’approche et d’atterrissage”, educational document, Quebec Aeronautical Training Center, St-Honoré, june 1996.
TREMBLAY, R., SAVOIE, P., “Modèle évaluatif adaptatif en pilotage d'aénoref: Rapport d'étape 1994-95”, Progress report presented to the General Directorate of College Education, PAREA program, March 1995.
TREMBLAY, R., FUGÈRE, B.-J., “User Models to Ambiguity and Misconceptions in Plan Recognition”, Fourth International Conference on User Modeling, Hyannis, USA., 1994.
NIEM, L, FUGÈRE, B.-J.., RONDEAU, P. A., TREMBLAY, R..,“Defining the Semantics of Extended Genetic Graphs”, User Modeling and User-Adapted Interaction, Vol. 3, pp. 1 - 47, 1993.
GUÉRIN, G., TREMBLAY, R , “Éléments de programmation avec Pascal”, Presse de l'Université du Québec, 646 pages, 1992-.
GRAVEL, M., MARTEL, J.-M., NADEAU, R., PRICE, W., TREMBLAY, R, “A multicriterion view of optimal resource allocation in job-shop production”, European Journal of Operational Research, 61, pp. 230-244, 1992 .
TREMBLAY, R, TREMBLAY, G.,“MENTOR V, An Artificially Intelligent Software for Technical Training (Machine Tool)”, Colleges Celebration 92, Conférence, Montréal, 1992.
ANGERS, L., TREMBLAY, G., TREMBLAY, R, BOUCHERr, L.-P., “La PNL, le VAK et les apprentissages”, AQPNL conference, Montreal, September 1992.
TREMBLAY, R, TREMBLAY, G.,., “Inteligencia artificial, aprendizaje por video interactivo”, Conferences presented in Spain to four (4) universities and five (5) research and development groups of private companies in Seville, Barcelona and Madrid, as part of a scientific mission organized by the Ministry of International Affairs (MAI) and the Quebec Ministry of Higher Education and Science (MESS), September 1992.
TREMBLAY, G, TREMBLAY, R.,., “L'intelligence interactive appliquée à la formation par ordinateur: le prototype Mentor V”, Conférence présentée au Canadian Conference on Engineering Education, Quebec, pp. 270-277, Mai 1992 .
TREMBLAY, G, TREMBLAY, R. “Mentor V, aspects pédagogiques et potentiel”,Conference presented to the France-Quebec inter-ministerial delegation, Chicoutimi, May, 1992.
GRAVEL, M,, MARTEL, J.-M., NADEAU, R., PRICE, W., TREMBLAY, R., “La répartition optimale des ressources en atelier de production”, Document B-17, CEFRIO. 1992.
GRAVEL, M., MARTEL, J.-M., NADEAU, R., PRICE, W., TREMBLAY, R., “A multicriterion view of optimal resource allocation in job-shop production”, INFORS, Bruges, Belgique, Mars 1991.
TREMBLAY, R., TREMBLAY, G., GIRARD, P., “Mentor V, un prototype interactif en formation professionnelle”, Conference, APEMIQ, Quebec, 1991.
TREMBLAY, R., TREMBLAY, G., GIRARD, P., “MENTOR V, un prototype interactif en formation professionnelle”, Proceedings of the symposium on applied science didactics in technical and vocational education, pp. 175-185, ACFAS, University of Sherbrooke, 1991.
TREMBLAY, R., TREMBLAY, G., “Les limites de l'interactivité”, Intégration de la micro-informatique à la formation technique et professionnelle,Agency for cultural and technical cooperation, International School of Bordeaux, Talence, 1990.
TREMBLAY, R., FUGÈRE, B.-J., NIEM, L., “The Structure of the Knowledge Bases of an Intelligent Tutoring System to Be Used in Music”, Sixth Canadian Symposium on Instructional Technology, Halifax, Proceeding, pp. 90-94, 1989.
GAGNON, G., TREMBLAY, R., TREMBLAY, G., GIRARD, P., DUBUISSON, C., TREMBLAY, A., “Des didacticiels pour l'apprentissage de concepts reliés à la bureautique et aux sciences de la gestion”, Ordinateur et enseignement professionnel, Édition Ophrys, Paris, 1989.
TREMBLAY, R., GAGNON, G., TREMBLAY, G., “Intelligence artificielle et enseignement”, GMRAPO, Montreal, April 1989.
TREMBLAY, R., TREMBLAY, G., “L'intégration de l'ordinateur dans l'enseignement professionnel: les limites à l'interactivité”, Conference presented at Laval University within the framework of the international symposium-seminar of the Francophonie on vocational education and micro-computing, Quebec, September 1989.
TREMBLAY, R., FUGÈRE, B.-J., GELEYN, L., “Modèle de structuration et d'acquisition de connaissances pour l'enseignement intelligemment assisté par ordinateur”, 56th ACFAS Congress, Université de Moncton, New Brunswick, May 1988.
TREMBLAY, R., FUGÈRE, B.-J., “A Model for Developing a Tutoting System in Music”, Proceeding of AAI-88, First Workshop on AI and Music, Menisota, USA, pp. 176-189,1988.
TREMBLAY, R., BARIL, M., PAQUIN, M., “Study on Secondary Electron Emission of the First Dynode of an Electro Multiplier Under the Impact of Negative Ions”, The American Society of Mass Spectrometry, Washington University, Washington, U.S.A., June 1977.
TREMBLAY, R., “Solution of Advances Problem 5988”, Problem proposed by B. Ross in A.M.M., Vol. 81, no 8, p. 910, Amer. Math. Mont., pp. 386-387, 1976 .
1969-1974 Postgraduate Scholarship, Ministry of Education of the Government of Quebec.
1974-1975 Postgraduate Scholarship, Franco-Quebec sub-commission for scientific and technological research.
1974-1976 Postgraduate Scholarship, National Research Council of Canada (CRSNG).
1977-1981 CRAD Grant (Mathematics) (15K), National Defence of Canada.
1982-1985 CRSNG Grant (Mathematic) (5K), Goverment of Canada.
1986-1989 CRSNG Grant, Goverment of Canada (245K), FCAR Grant (120K), Government of Québec, FUQAC Grant (40K), Université du Québec à Chicoutimi (Group project in Artificial Intelligence applied in Education).
1988-1993 PRDF and PRDH Grants (540K), MESS, Government of Québec, FUQAC Grant (60K), Université du Québec à Chicoutimi (Group project in Artificial Intelligence applied in Education).
1989-1990 FODAR Grant (90K), Government of Québec, (Group project in Artificial Intelligence applied in Operational Research).
1989-1992 CEFRIO Grant (60K), Université du Québec, (Group project in Artificial Intelligence applied in Operational Research).
1993-1998 PAREA Grant (90K), SQDM Grant (60K), Government of Québec, Grant from Fondation of CEGEP de Chicoutimi (60K), FUQAC Grant (25K), Université du Québec à Chicoutimi (Project in Artificial Intelligence applied in Aeronautics).
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