Edit Profile (opens in new tab) Agarwal, Ratan Prakash Compute Distance To: Compute Author ID: agarwal.ratan-prakash Published as: Agarwal, R. P.; Agarwal, Ratan Prakash External Links: MGP Documents Indexed: 53 Publications since 1950, including 2 Books 1 Contribution as Editor Reviewing Activity: 82 Reviews Biographic References: 7 Publications Co-Authors: 3 Co-Authors with 5 Joint Publications 22 Co-Co-Authors Co-Authors 48 single-authored 2 Srivastava, Rajiv Kumar 2 Verma, Arun 1 Humbert, Pierre all top 5 Serials 5 The Mathematics Student 4 Indian Journal of Pure & Applied Mathematics 4 Gaṇita 4 Proceedings of the National Academy of Sciences, India. Section A 3 Journal of Mathematical and Physical Sciences 3 The Quarterly Journal of Mathematics. Oxford Second Series 3 Proceedings of the Cambridge Philosophical Society 3 Proceedings of the Glasgow Mathematical Association 2 Bulletin of the Calcutta Mathematical Society 2 Canadian Journal of Mathematics 2 Annales de la Société Scientifique de Bruxelles. Série I 1 Advances in Mathematics 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Demonstratio Mathematica 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Gaṇita Sandesh 1 National Academy Science Letters 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Review Bulletin of the Calcutta Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Proceedings of the National Institute of Sciences of India, Part A 1 Mathematica all top 5 Fields 27 Special functions (33-XX) 8 History and biography (01-XX) 7 Number theory (11-XX) 3 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 652 times in 613 Documents Cited by ▼ Year ▼ Padé approximants, continued fractions and Heine’s \(q\)-hypergeometric series. Zbl 0784.33008Agarwal, R. P. 296 1992 Certain fractional q-integrals and q-derivatives. Zbl 0179.16901Agarwal, R. P. 167 1969 A propos d’une note de M. Pierre Humbert. Zbl 0051.30801Agarwal, Ratan Prakash 61 1953 Sur la fonction de Mittag-Leffler et quelques-unes de ses généralisations. Zbl 0052.06402Humbert, P.; Agarwal, R. P. 42 1953 Resonance of Ramanujan’s mathematics. Vols. I, II. Zbl 0976.11001Agarwal, R. P. 9 1996 An extension of Meijer’s \(G\)-function. Zbl 0148.05003Agarwal, R. P. 8 1965 Generalized basic hypergeometric series with unconnected bases. II. Zbl 0166.07404Agarwal, R. P.; Verma, A. 8 1967 Generalized basic hypergeometric series with unconnected bases. Zbl 0166.07403Agarwal, R. P.; Verma, A. 7 1967 On the paper ”a ’lost’ notebook of Ramanujan”. Zbl 0539.33003Agarwal, R. P. 7 1984 Lambert series and Ramanujan. Zbl 0849.33012Agarwal, R. P. 6 1993 Some relations between basic hypergeometric functions of two variables. Zbl 0055.30204Agarwal, R. P. 5 1954 Special functions, associated differential equations – their role, applications and importance. Zbl 0928.01015Agarwal, R. P. 4 1998 Certain enigmatic aspects of Ramanujan’s notebooks. Zbl 1194.01052Agarwal, R. P. 3 1999 Some basic hypergeometric identities. Zbl 0051.30802Agarwal, R. P. 3 1953 On integral analogues of certain transformations of well-poised basic hypergeometric series. Zbl 0052.06904Agarwal, R. P. 3 1953 On Bessel polynomials. Zbl 0055.30104Agarwal, R. P. 3 1954 Certain basic hypergeometric identities associated with mock theta functions. Zbl 0174.10802Agarwal, R. P. 3 1969 A note on evaluation of the integral \(\int_ 0^ \infty e^{-kt} I_ 0^ n(t)dt\). Zbl 0133.03101Agarwal, R. P. 2 1964 Fractional q-derivatives and q-integrals and certain hypergeometric transformations. Zbl 0378.44004Agarwal, R. P. 2 1976 Mock theta functions – an analytical point of view. Zbl 0886.33012Agarwal, R. P. 2 1994 A family of basic hypergeometric and combinatorial identities and certain summation formulae. Zbl 0464.33001Agarwal, R. P. 2 1981 On the partial sums of series of hypergeometric type. Zbl 0050.29501Agarwal, R. P. 1 1953 General transformations of bilateral cognate trigonometrical series of ordinary hypergeometric type. Zbl 0052.06905Agarwal, R. P. 1 1953 Some transformations of well-poised basic hypergeometrie series of the type \(_8\Phi_7\). Zbl 0052.07001Agarwal, R. P. 1 1953 Inequalities and applications. Dedicated to Wolfgang Walter’s 66th birthday with a tribute by R. M. Redheffer. Zbl 0872.00027 1 1994 On certain transformation formulae and Meijer’s G-function of two variables. Zbl 0205.07503Agarwal, R. P. 1 1970 Mock theta function – an analytical point of view. Zbl 0886.33011Agarwal, R. P. 1 1992 Analytical generalisations of Rogers-Ramanujan identities. Zbl 1052.33505Agarwal, R. P. 1 1993 A note on certain partial sums of hypergeometric series. Zbl 0351.40005Agarwal, R. P. 1 1974 Mock theta functions – An analytical point of view. Zbl 0914.33010Agarwal, R. P. 1 1992 Certain enigmatic aspects of Ramanujan’s notebooks. Zbl 1194.01052Agarwal, R. P. 3 1999 Special functions, associated differential equations – their role, applications and importance. Zbl 0928.01015Agarwal, R. P. 4 1998 Resonance of Ramanujan’s mathematics. Vols. I, II. Zbl 0976.11001Agarwal, R. P. 9 1996 Mock theta functions – an analytical point of view. Zbl 0886.33012Agarwal, R. P. 2 1994 Inequalities and applications. Dedicated to Wolfgang Walter’s 66th birthday with a tribute by R. M. Redheffer. Zbl 0872.00027 1 1994 Lambert series and Ramanujan. Zbl 0849.33012Agarwal, R. P. 6 1993 Analytical generalisations of Rogers-Ramanujan identities. Zbl 1052.33505Agarwal, R. P. 1 1993 Padé approximants, continued fractions and Heine’s \(q\)-hypergeometric series. Zbl 0784.33008Agarwal, R. P. 296 1992 Mock theta function – an analytical point of view. Zbl 0886.33011Agarwal, R. P. 1 1992 Mock theta functions – An analytical point of view. Zbl 0914.33010Agarwal, R. P. 1 1992 On the paper ”a ’lost’ notebook of Ramanujan”. Zbl 0539.33003Agarwal, R. P. 7 1984 A family of basic hypergeometric and combinatorial identities and certain summation formulae. Zbl 0464.33001Agarwal, R. P. 2 1981 Fractional q-derivatives and q-integrals and certain hypergeometric transformations. Zbl 0378.44004Agarwal, R. P. 2 1976 A note on certain partial sums of hypergeometric series. Zbl 0351.40005Agarwal, R. P. 1 1974 On certain transformation formulae and Meijer’s G-function of two variables. Zbl 0205.07503Agarwal, R. P. 1 1970 Certain fractional q-integrals and q-derivatives. Zbl 0179.16901Agarwal, R. P. 167 1969 Certain basic hypergeometric identities associated with mock theta functions. Zbl 0174.10802Agarwal, R. P. 3 1969 Generalized basic hypergeometric series with unconnected bases. II. Zbl 0166.07404Agarwal, R. P.; Verma, A. 8 1967 Generalized basic hypergeometric series with unconnected bases. Zbl 0166.07403Agarwal, R. P.; Verma, A. 7 1967 An extension of Meijer’s \(G\)-function. Zbl 0148.05003Agarwal, R. P. 8 1965 A note on evaluation of the integral \(\int_ 0^ \infty e^{-kt} I_ 0^ n(t)dt\). Zbl 0133.03101Agarwal, R. P. 2 1964 Some relations between basic hypergeometric functions of two variables. Zbl 0055.30204Agarwal, R. P. 5 1954 On Bessel polynomials. Zbl 0055.30104Agarwal, R. P. 3 1954 A propos d’une note de M. Pierre Humbert. Zbl 0051.30801Agarwal, Ratan Prakash 61 1953 Sur la fonction de Mittag-Leffler et quelques-unes de ses généralisations. Zbl 0052.06402Humbert, P.; Agarwal, R. P. 42 1953 Some basic hypergeometric identities. Zbl 0051.30802Agarwal, R. P. 3 1953 On integral analogues of certain transformations of well-poised basic hypergeometric series. Zbl 0052.06904Agarwal, R. P. 3 1953 On the partial sums of series of hypergeometric type. Zbl 0050.29501Agarwal, R. P. 1 1953 General transformations of bilateral cognate trigonometrical series of ordinary hypergeometric type. Zbl 0052.06905Agarwal, R. P. 1 1953 Some transformations of well-poised basic hypergeometrie series of the type \(_8\Phi_7\). Zbl 0052.07001Agarwal, R. P. 1 1953 all cited Publications top 5 cited Publications all top 5 Cited by 660 Authors 57 Agarwal, Ravi P. 33 Rimas, Jonas 25 Wong, Patricia J. Y. 18 Wang, Yuanming 16 Thandapani, Ethiraju 14 Ntouyas, Sotiris K. 13 Sun, Shurong 12 Samei, Mohammad Esmael 11 Grace, Said Rezk 10 Li, Wan-Tong 9 Ahmad, Bashir 9 Graef, John R. 8 Medina, Rigoberto 8 O’Regan, Donal 8 Zhang, Binggen 7 Abdeljawad, Thabet 7 Ali, Muhammad Aamir 7 Han, Zhenlai 7 Li, Xianyi 7 Papaschinopoulos, Garyfalos 7 Rezapour, Shahram 7 Sitthiwirattham, Thanin 7 Tang, Xianhua 7 Tariboon, Jessada 6 Băleanu, Dumitru I. 6 Budak, Hüseyin 6 Chu, Yuming 6 Lalli, Bikkar S. 6 Li, Xinhui 6 Pang, Peter Y. H. 6 Thompson, Harold Bevan 6 Verma, Arun 5 Agarwal, Praveen 5 Al-saedi, Ahmed Eid Salem 5 Benchohra, Mouffak 5 Cheng, Sui Sun 5 El-Morshedy, Hassan A. 5 Etemad, Sina 5 Jiang, Jianchu 5 Kang, Shugui 5 Kumar, Virendra 5 Pituk, Mihály 5 Singh, Satya Prakash 5 Srivastava, Hari Mohan 5 Wong, Fu-Hsiang 5 Yang, Wengui 4 Abbas, Said 4 Agahi, Hamzeh 4 Al-Hutami, Hana 4 Alzabut, Jehad O. 4 Diblík, Josef 4 Hong, Jialin 4 Jiang, Min 4 Jódar Sanchez, Lucas Antonio 4 Nieto Roig, Juan Jose 4 Ren, Jing 4 Samet, Bessem 4 Singh, Shobh Nath 4 Tian, Chuanjun 4 Tisdell, Christopher C. 4 Zafer, Ağacık 4 Zhai, Chengbo 4 Zhang, Tie 4 Zhu, Deming 3 Ahmadian, Ali 3 Al-Towailb, Maryam Ahmed 3 Andrews, George Eyre 3 Asawasamrit, Suphawat 3 Aulbach, Bernd 3 Bohner, Martin J. 3 Chen, Haibo 3 Choi, Junesang 3 Cuevas, Claudio 3 de Oliveira, Edmundo Capelas 3 Došlý, Ondřej 3 Ernst, Thomas 3 Fan, Xianling 3 Henderson, Johnny Lee 3 Hou, Chengmin 3 Jleli, Mohamed Boussairi 3 Kilbas, Anatoliĭ Aleksandrovich 3 Kumar, Dinesh 3 Liang, Sihua 3 Ma, Kuikui 3 Mainardi, Francesco 3 Manuel, M. Maria Susai 3 Patanarapeelert, Nichaphat 3 Philos, Christos G. 3 Pinto, Manuel 3 Popenda, Jerzy Ryszard 3 Purnaras, Ioannis K. 3 Ravi, Krishnan 3 Salahshour, Soheil 3 Soontharanon, Jarunee 3 Sooppy Nisar, Kottakkaran 3 Stefanidou, Gesthimani 3 Suthar, Daya Lal 3 Tomovski, Živorad 3 Usman, Talha 3 Wang, Jufang ...and 560 more Authors all top 5 Cited in 133 Serials 110 Computers & Mathematics with Applications 65 Applied Mathematics and Computation 62 Advances in Difference Equations 39 Applied Mathematics Letters 36 Journal of Mathematical Analysis and Applications 34 Mathematical and Computer Modelling 21 Journal of Computational and Applied Mathematics 16 Abstract and Applied Analysis 11 Journal of Inequalities and Applications 9 Journal of Applied Mathematics and Computing 8 Fractional Calculus & Applied Analysis 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 South East Asian Journal of Mathematics and Mathematical Sciences 5 Boundary Value Problems 5 Journal of Function Spaces 5 Nonlinear Analysis. Theory, Methods & Applications 4 Advances in Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Applied Numerical Mathematics 4 The Ramanujan Journal 4 Mediterranean Journal of Mathematics 4 AIMS Mathematics 3 Physica A 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Chaos, Solitons and Fractals 3 Fractals 3 Integral Transforms and Special Functions 3 Discrete Dynamics in Nature and Society 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Afrika Matematika 3 Open Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Fuzzy Sets and Systems 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Advances in Applied Mathematics 2 Turkish Journal of Mathematics 2 Georgian Mathematical Journal 2 Filomat 2 Communications in Nonlinear Science and Numerical Simulation 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Journal of Applied Mathematics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Journal of Nonlinear Science and Applications 2 International Journal of Differential Equations 2 Symmetry 2 Journal of Applied Analysis and Computation 2 Fractional Differential Calculus 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Journal of Mathematics 2 International Journal of Applied and Computational Mathematics 1 Analysis Mathematica 1 Computer Physics Communications 1 International Journal of Control 1 Periodica Mathematica Hungarica 1 Czechoslovak Mathematical Journal 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 International Journal of Circuit Theory and Applications 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Jnanabha 1 Meccanica 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Journal of Scientific Computing 1 Acta Mathematica Universitatis Comenianae. New Series 1 Computational Mathematics and Mathematical Physics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 Journal of Algebraic Combinatorics 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Arab Journal of Mathematical Sciences 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Soft Computing 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chaos 1 Journal of Integer Sequences ...and 33 more Serials all top 5 Cited in 39 Fields 321 Difference and functional equations (39-XX) 164 Ordinary differential equations (34-XX) 141 Real functions (26-XX) 116 Special functions (33-XX) 92 Numerical analysis (65-XX) 34 Partial differential equations (35-XX) 31 Combinatorics (05-XX) 30 Operator theory (47-XX) 22 Number theory (11-XX) 22 Integral equations (45-XX) 21 Integral transforms, operational calculus (44-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 14 Biology and other natural sciences (92-XX) 11 Functions of a complex variable (30-XX) 10 Systems theory; control (93-XX) 8 Probability theory and stochastic processes (60-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 4 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year