## Agarwal, Ratan Prakash

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 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
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### 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
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### 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)

### Citations contained in zbMATH Open

30 Publications have been cited 639 times in 606 Documents Cited by Year
Padé approximants, continued fractions and Heine’s $$q$$-hypergeometric series. Zbl 0784.33008
Agarwal, R. P.
1992
Certain fractional q-integrals and q-derivatives. Zbl 0179.16901
Agarwal, R. P.
1969
A propos d’une note de M. Pierre Humbert. Zbl 0051.30801
Agarwal, Ratan Prakash
1953
Sur la fonction de Mittag-Leffler et quelques-unes de ses généralisations. Zbl 0052.06402
Humbert, P.; Agarwal, R. P.
1953
Resonance of Ramanujan’s mathematics. Vols. I, II. Zbl 0976.11001
Agarwal, R. P.
1996
An extension of Meijer’s $$G$$-function. Zbl 0148.05003
Agarwal, R. P.
1965
Generalized basic hypergeometric series with unconnected bases. Zbl 0166.07403
Agarwal, R. P.; Verma, A.
1967
Generalized basic hypergeometric series with unconnected bases. II. Zbl 0166.07404
Agarwal, R. P.; Verma, A.
1967
Lambert series and Ramanujan. Zbl 0849.33012
Agarwal, R. P.
1993
Some relations between basic hypergeometric functions of two variables. Zbl 0055.30204
Agarwal, R. P.
1954
On the paper ”a ’lost’ notebook of Ramanujan”. Zbl 0539.33003
Agarwal, R. P.
1984
Special functions, associated differential equations – their role, applications and importance. Zbl 0928.01015
Agarwal, R. P.
1998
Certain enigmatic aspects of Ramanujan’s notebooks. Zbl 1194.01052
Agarwal, R. P.
1999
Certain basic hypergeometric identities associated with mock theta functions. Zbl 0174.10802
Agarwal, R. P.
1969
Some basic hypergeometric identities. Zbl 0051.30802
Agarwal, R. P.
1953
On integral analogues of certain transformations of well-poised basic hypergeometric series. Zbl 0052.06904
Agarwal, R. P.
1953
On Bessel polynomials. Zbl 0055.30104
Agarwal, R. P.
1954
Mock theta functions – an analytical point of view. Zbl 0886.33012
Agarwal, R. P.
1994
Fractional q-derivatives and q-integrals and certain hypergeometric transformations. Zbl 0378.44004
Agarwal, R. P.
1976
A family of basic hypergeometric and combinatorial identities and certain summation formulae. Zbl 0464.33001
Agarwal, R. P.
1981
A note on evaluation of the integral $$\int_ 0^ \infty e^{-kt} I_ 0^ n(t)dt$$. Zbl 0133.03101
Agarwal, R. P.
1964
Inequalities and applications. Dedicated to Wolfgang Walter’s 66th birthday with a tribute by R. M. Redheffer. Zbl 0872.00027
1994
A note on certain partial sums of hypergeometric series. Zbl 0351.40005
Agarwal, R. P.
1974
Mock theta functions – An analytical point of view. Zbl 0914.33010
Agarwal, R. P.
1992
Mock theta function – an analytical point of view. Zbl 0886.33011
Agarwal, R. P.
1992
Analytical generalisations of Rogers-Ramanujan identities. Zbl 1052.33505
Agarwal, R. P.
1993
On certain transformation formulae and Meijer’s G-function of two variables. Zbl 0205.07503
Agarwal, R. P.
1970
General transformations of bilateral cognate trigonometrical series of ordinary hypergeometric type. Zbl 0052.06905
Agarwal, R. P.
1953
Some transformations of well-poised basic hypergeometrie series of the type $$_8\Phi_7$$. Zbl 0052.07001
Agarwal, R. P.
1953
On the partial sums of series of hypergeometric type. Zbl 0050.29501
Agarwal, R. P.
1953
Certain enigmatic aspects of Ramanujan’s notebooks. Zbl 1194.01052
Agarwal, R. P.
1999
Special functions, associated differential equations – their role, applications and importance. Zbl 0928.01015
Agarwal, R. P.
1998
Resonance of Ramanujan’s mathematics. Vols. I, II. Zbl 0976.11001
Agarwal, R. P.
1996
Mock theta functions – an analytical point of view. Zbl 0886.33012
Agarwal, R. P.
1994
Inequalities and applications. Dedicated to Wolfgang Walter’s 66th birthday with a tribute by R. M. Redheffer. Zbl 0872.00027
1994
Lambert series and Ramanujan. Zbl 0849.33012
Agarwal, R. P.
1993
Analytical generalisations of Rogers-Ramanujan identities. Zbl 1052.33505
Agarwal, R. P.
1993
Padé approximants, continued fractions and Heine’s $$q$$-hypergeometric series. Zbl 0784.33008
Agarwal, R. P.
1992
Mock theta functions – An analytical point of view. Zbl 0914.33010
Agarwal, R. P.
1992
Mock theta function – an analytical point of view. Zbl 0886.33011
Agarwal, R. P.
1992
On the paper ”a ’lost’ notebook of Ramanujan”. Zbl 0539.33003
Agarwal, R. P.
1984
A family of basic hypergeometric and combinatorial identities and certain summation formulae. Zbl 0464.33001
Agarwal, R. P.
1981
Fractional q-derivatives and q-integrals and certain hypergeometric transformations. Zbl 0378.44004
Agarwal, R. P.
1976
A note on certain partial sums of hypergeometric series. Zbl 0351.40005
Agarwal, R. P.
1974
On certain transformation formulae and Meijer’s G-function of two variables. Zbl 0205.07503
Agarwal, R. P.
1970
Certain fractional q-integrals and q-derivatives. Zbl 0179.16901
Agarwal, R. P.
1969
Certain basic hypergeometric identities associated with mock theta functions. Zbl 0174.10802
Agarwal, R. P.
1969
Generalized basic hypergeometric series with unconnected bases. Zbl 0166.07403
Agarwal, R. P.; Verma, A.
1967
Generalized basic hypergeometric series with unconnected bases. II. Zbl 0166.07404
Agarwal, R. P.; Verma, A.
1967
An extension of Meijer’s $$G$$-function. Zbl 0148.05003
Agarwal, R. P.
1965
A note on evaluation of the integral $$\int_ 0^ \infty e^{-kt} I_ 0^ n(t)dt$$. Zbl 0133.03101
Agarwal, R. P.
1964
Some relations between basic hypergeometric functions of two variables. Zbl 0055.30204
Agarwal, R. P.
1954
On Bessel polynomials. Zbl 0055.30104
Agarwal, R. P.
1954
A propos d’une note de M. Pierre Humbert. Zbl 0051.30801
Agarwal, Ratan Prakash
1953
Sur la fonction de Mittag-Leffler et quelques-unes de ses généralisations. Zbl 0052.06402
Humbert, P.; Agarwal, R. P.
1953
Some basic hypergeometric identities. Zbl 0051.30802
Agarwal, R. P.
1953
On integral analogues of certain transformations of well-poised basic hypergeometric series. Zbl 0052.06904
Agarwal, R. P.
1953
General transformations of bilateral cognate trigonometrical series of ordinary hypergeometric type. Zbl 0052.06905
Agarwal, R. P.
1953
Some transformations of well-poised basic hypergeometrie series of the type $$_8\Phi_7$$. Zbl 0052.07001
Agarwal, R. P.
1953
On the partial sums of series of hypergeometric type. Zbl 0050.29501
Agarwal, R. P.
1953
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### Cited by 651 Authors

 57 Agarwal, Ravi P. 33 Rimas, Jonas 25 Wong, Patricia J. Y. 18 Wang, Yuanming 16 Thandapani, Ethiraju 14 Ntouyas, Sotiris K. 12 Samei, Mohammad Esmael 11 Grace, Said Rezk 11 Sun, Shurong 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 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 Li, Xinhui 5 Pituk, Mihály 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 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 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 Singh, Satya Prakash 3 Singh, Shobh Nath 3 Soontharanon, Jarunee 3 Sooppy Nisar, Kottakkaran 3 Stefanidou, Gesthimani 3 Suthar, Daya Lal 3 Tomovski, Živorad 3 Usman, Talha 3 Wang, Jufang 3 Yu, Changlong ...and 551 more Authors
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### Cited in 131 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 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 Mediterranean Journal of Mathematics 4 AIMS Mathematics 3 Physica A 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Fractals 3 Integral Transforms and Special Functions 3 The Ramanujan Journal 3 Discrete Dynamics in Nature and Society 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Boundary Value Problems 3 Afrika Matematika 3 Open Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Chaos, Solitons and Fractals 2 Fuzzy Sets and Systems 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 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 Advances in Applied Mathematics 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 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 1 Communications of the Korean Mathematical Society ...and 31 more Serials
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### Cited in 39 Fields

 318 Difference and functional equations (39-XX) 161 Ordinary differential equations (34-XX) 139 Real functions (26-XX) 114 Special functions (33-XX) 89 Numerical analysis (65-XX) 34 Partial differential equations (35-XX) 31 Combinatorics (05-XX) 28 Operator theory (47-XX) 22 Integral equations (45-XX) 21 Integral transforms, operational calculus (44-XX) 20 Number theory (11-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 13 Biology and other natural sciences (92-XX) 10 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)