Edit Profile (opens in new tab) Tremblay, Richard E. Compute Distance To: Compute Author ID: tremblay.richard-e Published as: Tremblay, R.; Tremblay, Richard; Tremblay, Richard E. more...less Documents Indexed: 51 Publications since 1971 Co-Authors: 21 Co-Authors with 50 Joint Publications 842 Co-Co-Authors all top 5 Co-Authors 1 single-authored 27 Gaboury, Sébastien 17 Fugère, Benoît-Jean 9 Lavoie, Jean-Louis 5 Fugère, Jean 3 Srivastava, Hari Mohan 2 Lavertu, Marie-Louis 2 Osler, Thomas J. 2 Ozarslan, Mehmet Ali 2 Vitaro, Frank 1 Bélanger, P. A. 1 Ben-Ameur, Hatem 1 Boivin, G. 1 Bou-Hamad, Imad 1 Carbonneau, Rene 1 Cote, Sylvana 1 Fedotowsky, A. 1 Larocque, Denis 1 Liu, Xuecheng 1 Mâsse, Louise C. 1 Plewis, Ian 1 Villeneuve, J.-E. all top 5 Serials 5 Integral Transforms and Special Functions 3 SIAM Journal on Mathematical Analysis 2 Applied Mathematics and Computation 2 Canadian Journal of Physics 2 Proceedings of the Jangjeon Mathematical Society 2 Jñānābha. Section A 2 Bulletin of Mathematical Analysis and Applications 2 International Journal of Analysis 1 Bulletin of the Australian Mathematical Society 1 The Canadian Journal of Statistics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Indian Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Jnanabha 1 Tamkang Journal of Mathematics 1 Tensor. New Series 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics Letters 1 Panamerican Mathematical Journal 1 SIAM Review 1 International Journal of Mathematical and Statistical Sciences 1 Honam Mathematical Journal 1 Journal of Inequalities and Applications 1 Far East Journal of Applied Mathematics 1 Communications of the Korean Mathematical Society 1 Statistical Modelling 1 Selçuk Journal of Applied Mathematics 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Advances in Difference Equations 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 International Journal of Contemporary Mathematical Sciences 1 Journal of Applied Mathematics & Informatics 1 Journal of Complex Analysis all top 5 Fields 37 Special functions (33-XX) 20 Real functions (26-XX) 9 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 2 Combinatorics (05-XX) 2 Numerical analysis (65-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 232 times in 174 Documents Cited by ▼ Year ▼ Fractional derivatives and special functions. Zbl 0324.44002Lavoie, J. L.; Osler, T. J.; Tremblay, R. 64 1976 Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials. Zbl 1353.11031Gaboury, Sebastien; Tremblay, R.; Fugère, B.-J. 32 2014 A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem. Zbl 1258.11046Tremblay, R.; Gaboury, S.; Fugère, B.-J. 21 2011 Fundamental properties of fractional derivatives via Pochhammer integrals. Zbl 0322.26005Lavoie, J. L.; Tremblay, R.; Osler, T. J. 15 1975 A new Leibniz rule and its integral analogue for fractional derivatives. Zbl 1267.26006Tremblay, R.; Gaboury, S.; Fugère, B.-J. 11 2013 The use of fractional derivatives to expand analytical functions in terms of quadratic functions with applications to special functions. Zbl 1116.33001Tremblay, R.; Fugère, B.-J. 10 2007 Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives. Zbl 1270.26007Tremblay, R.; Gaboury, S.; Fugère, B.-J. 9 2013 A class of addition theorems. Zbl 0504.33007Srivastava, H. M.; Lavoie, J.-L.; Tremblay, Richard 8 1983 Some new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1258.11047Tremblay, R.; Gaboury, S.; Fugère, B.-J. 7 2012 Some relations involving a generalized fractional derivative operator. Zbl 1284.26007Gaboury, Sebastien; Tremblay, Richard; Fugère, Benoît-Jean 6 2013 A new transformation formula for fractional derivatives with applications. Zbl 1266.26014Tremblay, R.; Gaboury, S.; Fugère, B.-J. 6 2013 Discrete-time survival trees. Zbl 1170.62074Bou-Hamad, Imad; Larocque, Denis; Ben-Ameur, Hatem; Mâsse, Louise C.; Vitaro, Frank; Tremblay, Richard E. 6 2009 Products of two restricted hypergeometric functions. Zbl 0852.33003Tremblay, R.; Fugère, B. J. 5 1996 A further generalization of Apostol-Bernoulli polynomials and related polynomials. Zbl 1327.11020Tremblay, R.; Gaboury, S.; Fugère, J. 5 2012 Some operational formulas involving the operators \(xD\), \(x\Delta\) and fractional derivatives. Zbl 0418.26005Tremblay, Richard 4 1979 New relations involving an extended multiparameter Hurwitz-Lerch zeta function with applications. Zbl 1390.33008Srivastava, H. M.; Gaboury, Sébastien; Tremblay, Richard 4 2014 The Jabotinsky matrix of a power series. Zbl 0481.05007Lavoie, J. L.; Tremblay, R. 3 1981 Summation formulas obtained by means of the generalized chain rule for fractional derivatives. Zbl 1309.30034Gaboury, S.; Tremblay, R. 3 2014 The Rodrigues type representations for a certain class of special functions. Zbl 0386.33007Srivastava, H. M.; Lavoie, J.-L.; Tremblay, Richard 3 1979 Expansions of operators related to \(xD\) and the fractional derivative. Zbl 0561.26006Tremblay, R.; Fugère, B. J. 2 1984 A note on the number of derangements. Zbl 0498.05011Lavoie, J.-L.; Tremblay, Richard 1 1980 A further investigation of generating functions related to pairs of inverse functions with applications to generalized degenerate Bernoulli polynomials. Zbl 1327.11017Gaboury, Sebastien; Tremblay, Richard 1 2014 Commutativity of the fractional operator \(z^ \alpha D_ z^ \beta z^ \gamma\) and a generalization of Glaisher’s result. Zbl 0827.26009Tremblay, R.; Fugère, B. J. 1 1994 Generalized multiple integral representations for a large family of polynomials with applications. Zbl 1410.33029Gaboury, Sebastien; Tremblay, Richard 1 2015 Some bilateral generating functions involving the Erkuş-Srivastava polynomials and some general classes of multivariable polynomials. Zbl 1320.30009Gaboury, S.; Tremblay, R.; Özarslan, M. A. 1 2014 Remark on certain transformations for multiple hypergeometric functions. Zbl 1419.33002Gaboury, Sebastien; Tremblay, Richard 1 2014 A note on some new series of special functions. Zbl 1408.33039Gaboury, S.; Tremblay, R. 1 2014 Application of a Taylor-like expansion theorem involving fractional derivatives to multivariable \(H\)-function. Zbl 1296.26029Gaboury, S.; Tremblay, R. 1 2013 Generalized multiple integral representations for a large family of polynomials with applications. Zbl 1410.33029Gaboury, Sebastien; Tremblay, Richard 1 2015 Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials. Zbl 1353.11031Gaboury, Sebastien; Tremblay, R.; Fugère, B.-J. 32 2014 New relations involving an extended multiparameter Hurwitz-Lerch zeta function with applications. Zbl 1390.33008Srivastava, H. M.; Gaboury, Sébastien; Tremblay, Richard 4 2014 Summation formulas obtained by means of the generalized chain rule for fractional derivatives. Zbl 1309.30034Gaboury, S.; Tremblay, R. 3 2014 A further investigation of generating functions related to pairs of inverse functions with applications to generalized degenerate Bernoulli polynomials. Zbl 1327.11017Gaboury, Sebastien; Tremblay, Richard 1 2014 Some bilateral generating functions involving the Erkuş-Srivastava polynomials and some general classes of multivariable polynomials. Zbl 1320.30009Gaboury, S.; Tremblay, R.; Özarslan, M. A. 1 2014 Remark on certain transformations for multiple hypergeometric functions. Zbl 1419.33002Gaboury, Sebastien; Tremblay, Richard 1 2014 A note on some new series of special functions. Zbl 1408.33039Gaboury, S.; Tremblay, R. 1 2014 A new Leibniz rule and its integral analogue for fractional derivatives. Zbl 1267.26006Tremblay, R.; Gaboury, S.; Fugère, B.-J. 11 2013 Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives. Zbl 1270.26007Tremblay, R.; Gaboury, S.; Fugère, B.-J. 9 2013 Some relations involving a generalized fractional derivative operator. Zbl 1284.26007Gaboury, Sebastien; Tremblay, Richard; Fugère, Benoît-Jean 6 2013 A new transformation formula for fractional derivatives with applications. Zbl 1266.26014Tremblay, R.; Gaboury, S.; Fugère, B.-J. 6 2013 Application of a Taylor-like expansion theorem involving fractional derivatives to multivariable \(H\)-function. Zbl 1296.26029Gaboury, S.; Tremblay, R. 1 2013 Some new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. Zbl 1258.11047Tremblay, R.; Gaboury, S.; Fugère, B.-J. 7 2012 A further generalization of Apostol-Bernoulli polynomials and related polynomials. Zbl 1327.11020Tremblay, R.; Gaboury, S.; Fugère, J. 5 2012 A new class of generalized Apostol-Bernoulli polynomials and some analogues of the Srivastava-Pintér addition theorem. Zbl 1258.11046Tremblay, R.; Gaboury, S.; Fugère, B.-J. 21 2011 Discrete-time survival trees. Zbl 1170.62074Bou-Hamad, Imad; Larocque, Denis; Ben-Ameur, Hatem; Mâsse, Louise C.; Vitaro, Frank; Tremblay, Richard E. 6 2009 The use of fractional derivatives to expand analytical functions in terms of quadratic functions with applications to special functions. Zbl 1116.33001Tremblay, R.; Fugère, B.-J. 10 2007 Products of two restricted hypergeometric functions. Zbl 0852.33003Tremblay, R.; Fugère, B. J. 5 1996 Commutativity of the fractional operator \(z^ \alpha D_ z^ \beta z^ \gamma\) and a generalization of Glaisher’s result. Zbl 0827.26009Tremblay, R.; Fugère, B. J. 1 1994 Expansions of operators related to \(xD\) and the fractional derivative. Zbl 0561.26006Tremblay, R.; Fugère, B. J. 2 1984 A class of addition theorems. Zbl 0504.33007Srivastava, H. M.; Lavoie, J.-L.; Tremblay, Richard 8 1983 The Jabotinsky matrix of a power series. Zbl 0481.05007Lavoie, J. L.; Tremblay, R. 3 1981 A note on the number of derangements. Zbl 0498.05011Lavoie, J.-L.; Tremblay, Richard 1 1980 Some operational formulas involving the operators \(xD\), \(x\Delta\) and fractional derivatives. Zbl 0418.26005Tremblay, Richard 4 1979 The Rodrigues type representations for a certain class of special functions. Zbl 0386.33007Srivastava, H. M.; Lavoie, J.-L.; Tremblay, Richard 3 1979 Fractional derivatives and special functions. Zbl 0324.44002Lavoie, J. L.; Osler, T. J.; Tremblay, R. 64 1976 Fundamental properties of fractional derivatives via Pochhammer integrals. Zbl 0322.26005Lavoie, J. L.; Tremblay, R.; Osler, T. J. 15 1975 all cited Publications top 5 cited Publications all top 5 Cited by 214 Authors 24 Kim, Taekyun 21 Kim, Dae San 19 Srivastava, Hari Mohan 16 Gaboury, Sébastien 10 Ashyralyev, Allaberen 10 Tremblay, Richard E. 7 Fugère, Benoît-Jean 4 Acikgoz, Mehmet 4 Araci, Serkan 4 Berger, Moritz 4 Dal, Fadime 4 Kiryakova, Virginia S. 4 Kwon, Hyuck In 4 Schmid, Matthias 4 Simsek, Yilmaz 3 Dolgiĭ, Dmitriĭ Viktorovich 3 Khan, Waseem Ahmad 3 Kwon, JongKyum 3 Luo, Qiuming 3 Mihoubi, Miloud 3 Morita, Tohru 3 Sato, Ken’ichi 3 Urieles, Alejandro 2 Bayad, Abdelmejid 2 Ben-Ameur, Hatem 2 Bou-Hamad, Imad 2 Chaturvedi, Aparna 2 Coloma, Nicolás 2 de la Sen, Manuel 2 Drăgănescu, Gh. E. 2 El-Desouky, Beih S. 2 Forster-Heinlein, Brigitte 2 Ghanim, Firas 2 Goyal, Som Prakash 2 Hammad, Hasanen Abuelmagd 2 He, Yuan 2 Hicdurmaz, Betul 2 Ibrahim, Rabha Waell 2 Jang, Gwan-Woo 2 Katugampola, Udita N. 2 Keleshteri, Marzieh Eini 2 Kim, Yunjae 2 Kurt, Veli 2 Larocque, Denis 2 Lee, Jeong-Gon 2 Lee, Sang Hun 2 Liang, Haixia 2 Mahmudov, Nazim Idrisoglu 2 Massopust, Peter R. 2 Ochoa-Tocachi, Diego 2 Pathan, Mahmood Ahmad 2 Pinar, Zehra 2 Rai, Prakriti 2 Ramírez, William 2 Rim, Seog-Hoon 2 Trujillo, Juan J. 2 Welchowski, Thomas 2 Wright, Marvin N. 2 Yun, Sang Jo 1 Abdo, Mohammed Salem 1 Abdulnaby, Zainab E. 1 Adell, José Antonio 1 Agarwal, Praveen 1 Ahmad Ali, Syed 1 Ahmad, Jawwad 1 Akgül, Ali 1 Almeida, Ricardo 1 Amanov, Djumaklych 1 Asjad, Muhammad Imran 1 Azam, Muhammad Khursheed 1 Băleanu, Dumitru I. 1 Behtouei, Mostafa 1 Bereteu, Liviu 1 Boutiche, Mohamed Amine 1 Brini, Andrea 1 Brychkov, Yury A. 1 Butkovskiĭ, Anatoliĭ Grigor’evich 1 Cai, Yi 1 Cakir, Zafer 1 Campbell, John Maxwell 1 Campos, L. M. B. C. 1 Cantarini, Marco 1 Castilla, Letelier 1 Ceballos, Johan 1 Çekım, Bayram 1 Chan, Raymond Hon-Fu 1 Chen, Hua 1 Chen, Mingpo 1 Chen, Si 1 Chen, Xingru 1 Choi, Sangki 1 Chudasama, Meera H. 1 Cohl, Howard Saul 1 Corcino, Cristina Bordaje 1 Corcino, Roberto Bagsarsa 1 Costas-Santos, Roberto S. 1 D’Aurizio, Jacopo 1 Dave, B. I. 1 Dehestani, Maryam 1 Deng, Weihua ...and 114 more Authors all top 5 Cited in 86 Serials 21 Advances in Difference Equations 12 Applied Mathematics and Computation 9 Journal of Mathematical Analysis and Applications 8 Integral Transforms and Special Functions 7 Abstract and Applied Analysis 6 Computers & Mathematics with Applications 5 Russian Journal of Mathematical Physics 5 Journal of Inequalities and Applications 3 Applied Mathematics Letters 3 Fractional Calculus & Applied Analysis 3 Symmetry 3 Mathematics 3 Open Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Quaestiones Mathematicae 2 International Journal of Computer Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Advances in Applied Clifford Algebras 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Statistical Modelling 2 Boundary Value Problems 2 Journal of Function Spaces 1 Discrete Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Demonstratio Mathematica 1 Fasciculi Mathematici 1 Journal of Combinatorial Theory. Series A 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Automation and Remote Control 1 Georgian Mathematical Journal 1 Filomat 1 Engineering Analysis with Boundary Elements 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Data Mining and Knowledge Discovery 1 Communications of the Korean Mathematical Society 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Integers 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 Review of Derivatives Research 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Mediterranean Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 Waves in Random and Complex Media 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Acta Mechanica Sinica 1 Applications and Applied Mathematics 1 Advances in Data Analysis and Classification. ADAC 1 Applicable Analysis and Discrete Mathematics 1 Journal of Nonlinear Science and Applications 1 SIAM Journal on Financial Mathematics 1 Advances in Mathematical Physics 1 Statistics Surveys 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Computational and Graphical Statistics 1 Journal of the Operations Research Society of China 1 Mathematical Sciences 1 Journal of Mathematics 1 International Journal of Analysis 1 Journal of Complex Analysis 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics 1 AIMS Mathematics all top 5 Cited in 32 Fields 70 Number theory (11-XX) 64 Special functions (33-XX) 40 Real functions (26-XX) 39 Combinatorics (05-XX) 23 Ordinary differential equations (34-XX) 20 Numerical analysis (65-XX) 15 Partial differential equations (35-XX) 10 Functions of a complex variable (30-XX) 8 Integral transforms, operational calculus (44-XX) 6 Operator theory (47-XX) 6 Statistics (62-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year