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Rathie, Arjun Kumar

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Author ID: rathie.arjun-kumar Recent zbMATH articles by "Rathie, Arjun Kumar"
Published as: Rathie, A. K.; Rathie, Arjun K; Rathie, Arjun K.; Rathie, Arjun Kumar; Rathie, Arjun. K.; Rathie, Arjunkumar
External Links: Math-Net.Ru · ORCID · ResearchGate · dblp
Documents Indexed: 212 Publications since 1978
all top 5

Co-Authors

17 single-authored
70 Choi, Junesang
51 Kim, Yong Sup
20 Rakha, Medhat Ahmed
13 Paris, Richard Bruce
7 Pogány, Tibor K.
6 Gaboury, Sébastien
6 Harsh, Harshvardhan
6 Malani, Shaloo
6 Nagar, Vishakha
5 Lee, Changhyun
5 Vyas, Vishwa Mohan
4 Arora, Kamal
4 Kim, Insuk
4 Mathur, Rachana
4 Parmar, Rakesh Kumar
4 Rathie, Pushpa Narayan
4 Srivastava, Hari Mohan
4 Wang, Xiaoxia
3 Chopra, Purnima
3 Grondin, Frédéric
3 Jun, Sungtae
3 Lavoie, Jean-Louis
3 Lee, Seungwoo
3 Vyas, Yashoverdhan
2 Ali, Shoukat
2 Awad, Mohamed M.
2 Awad, Mohammed M.
2 Bhojak, Bharti
2 Chaudhary, M. P.
2 Chhajer, G. C.
2 Filho, Euclydes C. L.
2 Gaur, Vimal K.
2 Ibrahim, Adel Kh.
2 Joshi, Mukesh M.
2 Kiliçman, Adem
2 Lee, Dong-Myung
2 Milovanović, Gradimir V.
2 de Sena Monteiro Ozelim, Luan Carlos
2 Pandey, Ujjwal
2 Park, Chan-Bong
2 Raj S. N., Shine
2 Sharma, Geeta
2 Sharma, Sonia
2 Soni, Shanti S.
2 Suri, Komal
1 Agarwal, Ravi P.
1 Brychkov, Yury A.
1 Chajer, G. C.
1 Chinra, Sivamani
1 Cho, Junesang
1 Choi, Junedang
1 Cvijović, Djurdje
1 Devra, Hanuman M.
1 Groth, Frederick
1 Gupta, Arjun Kumar
1 J., Prathima
1 Kamalappan, Vilfred
1 Koepf, Wolfram A.
1 Kumari, Shantha K.
1 M., Sukanya
1 Mal Devra, Hanuman
1 Mathur, Ramanujan
1 Mohammed, Asmaa O.
1 Nambisan, T. M. Vasudevan
1 Neethu, P.
1 Pandey, Ujjawal
1 Parakh, Rinku
1 Park, Ju Hee
1 Pederzoli, Giorgio
1 Prakash, Om
1 Purnima, D.
1 Purohit, Sunil Dutt
1 Ramachandran K., Unnima
1 Ramesh, Ramya
1 Seo, Tae Young
1 Shani, K.
1 Sharma, K. D.
1 Shashikant, Sonia Sharma
1 Shekhawat, Nidhi
1 Song, Hyeong Kee
1 Sukanya, M.
1 Zörnig, Peter
all top 5

Serials

36 Communications of the Korean Mathematical Society
19 Vijnana Parishad Anusandhan Patrika
14 Honam Mathematical Journal
11 Far East Journal of Mathematical Sciences
7 Bulletin of the Korean Mathematical Society
7 Integral Transforms and Special Functions
5 The Mathematics Education
5 Kyungpook Mathematical Journal
5 International Journal of Mathematical and Statistical Sciences
5 Advances in Difference Equations
4 Acta Ciencia Indica. Mathematics
4 Turkish Journal of Mathematics
4 East Asian Mathematical Journal
3 Le Matematiche
3 Far East Journal of Mathematical Sciences
3 Mathematical Communications
3 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics
3 EAMJ. East Asian Mathematical Journal
3 Proceedings of the Jangjeon Mathematical Society
3 Hacettepe Journal of Mathematics and Statistics
3 Miskolc Mathematical Notes
2 Mathematical Methods in the Applied Sciences
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Metron
2 Soochow Journal of Mathematics
2 Gaṇita Sandesh
2 Journal of Inequalities and Applications
2 Advanced Studies in Contemporary Mathematics (Kyungshang)
2 The Australian Journal of Mathematical Analysis and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Nonlinear Science and Applications
2 Journal of Classical Analysis
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical and Physical Sciences
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Mathematics of Computation
1 Analele Universităţii din Timişoara. Ştiinţe Matematice
1 Demonstratio Mathematica
1 Indian Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of M.A.C.T.
1 Matematichki Vesnik
1 Statistica
1 Revista Técnica de la Facultad de Ingenieria
1 Ranchi University Mathematical Journal
1 Revista de Matemática e Estatística
1 Mathematical and Computer Modelling
1 REBRAPE
1 Mathematica Pannonica
1 Journal of Fractional Calculus
1 Journal of the Egyptian Mathematical Society
1 Filomat
1 Analele Universităţii din Timişoara. Seria Matematică-Informatică
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Bulletin of Pure & Applied Sciences E. Mathematics and Statistics
1 Mathematica Macedonica
1 Applied Mathematical Sciences (Ruse)
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Journal of Inequalities and Special Functions
1 Mathematica Æterna
1 TWMS Journal of Applied and Engineering Mathematics
1 Palestine Journal of Mathematics
1 Axioms
1 Advances in Mathematics. Scientific Journal
1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Publications by Year

Citations contained in zbMATH

93 Publications have been cited 307 times in 136 Documents Cited by Year
Generalizations of Whipple’s theorem on the sum of a \({}_ 3 F_ 2\). Zbl 0853.33005
Lavoie, J. L.; Grondin, F.; Rathie, A. K.
33
1996
Generalizations of classical summation theorems for the series \(_{2} F_{1}\) and \(_{3} F_{2}\) with applications. Zbl 1241.33006
Rakha, Medhat A.; Rathie, Arjun K.
23
2011
Generalizations of Watson’s theorem on the sum of a \(_ 3F_ 2\). Zbl 0793.33005
Lavoie, J. L.; Grondin, F.; Rathie, A. K.
23
1992
Generalizations of Dixon’s theorem on the sum of a \(_ 3F_ 2\). Zbl 0793.33006
Lavoie, J. L.; Grondin, F.; Rathie, A. K.; Arora, K.
22
1994
Extension of extended beta, hypergeometric and confluent hypergeometric functions. Zbl 1298.33004
Choi, Junesang; Rathie, Arjun K.; Parmar, Rakesh K.
16
2014
Generalization of extended beta function, hypergeometric and confluent hypergeometric functions. Zbl 1239.33003
Lee, Dong Myung; Rathie, Arjun K.; Parmar, Rakesh K.; Kim, Young Sup
11
2011
A new generalization of generalized hypergeometric functions. Zbl 0946.33011
Rathie, Arjun K.
10
1997
Generalization of Kummer’s second theorem with applications. Zbl 1224.33001
Sup Kim, Yong; Rakha, M. A.; Rathie, A. K.
7
2010
A study of new hypergeometric transformations. Zbl 1157.33003
Rathie, Arjun K.; Rakha, Medhat A.
7
2008
Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan’s summations. Zbl 1210.33012
Kim, Yong Sup; Rakha, Medhat A.; Rathie, Arjun K.
6
2010
On two Thomae-type transformations for hypergeometric series with integral parameter differences. Zbl 1295.33010
Kim, Yong Sup; Rathie, Arjun K.; Paris, Richard Bruce
5
2014
An extension of Saalschütz’s summation theorem for the series \(_{r+3}F_{r+2}\). Zbl 1286.33006
Kim, Y. S.; Rathie, A. K.; Paris, R. B.
5
2013
Two results for the terminating \({}_3F_2(2)\) with applications. Zbl 1258.33002
Kim, Yong Sup; Choi, Junesang; Rathie, Arjun K.
5
2012
A generalization of a formula due to Kummer. Zbl 1241.33009
Choi, Junesang; Rathie, Arjun K.; Srivastava, H. M.
5
2011
Extensions of Euler type II transformation and Saalschütz’s theorem. Zbl 1214.33003
Rakha, Medhat A.; Rathie, Arjun K.
5
2011
Certain summation formulas for Humbert’s double hypergeometric series \(\Psi_2\) and \(\Phi_2\). Zbl 1329.33005
Choi, Junesang; Rathie, Arjun Kumar
4
2015
On some new contiguous relations for the Gauss hypergeometric function with applications. Zbl 1217.33006
Rakha, Medhat A.; Rathie, Arjun K.; Chopra, Purnima
4
2011
On new reduction formulas for the Humbert functions \(\Psi_2\), \(\Phi_2\) and \(\Phi_3\). Zbl 1367.33015
Brychkov, Yu. A.; Kim, Yong Sup; Rathie, Arjun K.
3
2017
Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences. Zbl 1412.33013
Rathie, Arjun K.; Paris, R. B.
3
2013
On the distribution of the product and the sum of generalized shifted gamma random variables. Zbl 1291.62044
Rathie, Pushpa N.; Rathie, Arjun K.; Ozelim, Luan C. de S. M.
3
2013
Certain hypergeometric identities deducible by using the beta integral method. Zbl 1283.33004
Choi, Junesang; Rathie, Arjun K.; Srivastava, Hari M.
3
2013
An extension of the Euler-type transformation for the \(_3F_2\) series. Zbl 1151.33006
Rathie, A. K.; Paris, R. B.
3
2007
Kummer’s theorem and its contiguous identities. Zbl 1135.33007
Choi, Junesang; Rathie, Arjun K.; Malani, Shaloo
3
2007
On an extension formulas for the triple hypergeometric series \(X_8\) due to Exton. Zbl 1132.33313
Kim, Yong Sup; Rathie, Arjun K.
3
2007
On Preece’s identity and other contiguos results. Zbl 1091.33011
Choi, Junesang; Rathie, Arjun K.; Bhojak, Bharti
3
2005
On Kummer’s second theorem involving product of generalized hypergeometric series. Zbl 0842.33003
Rathie, Arjun K.; Nagar, Vishakha
3
1995
Applications of extended Watson’s summation theorem. Zbl 1424.33029
Kim, Young Sup; Gaboury, Sebastien; Rathie, Arjun Kumar
2
2018
A new class of double integrals involving generalized hypergeometric functions. Zbl 1371.33011
Choi, Junesang; Rathie, A. K.
2
2017
Evaluation of certain new class of definite integrals. Zbl 1318.33005
Choi, Junesang; Rathie, Arjun K.
2
2015
On a reduction formula for the Kampé de Fériet function. Zbl 1315.33017
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K.
2
2014
On the reducibility of Kampé de Fériet function. Zbl 1298.33003
Choi, Junesang; Rathie, Arjun K.
2
2014
Further hypergeometric identities deducible by fractional calculus. Zbl 1300.33006
Gaboury, Sebastien; Rathie, Arjun K.
2
2014
On a hypergeometric summation theorem due to Qureshi et al. Zbl 1279.33001
Choi, Junesang; Rathie, Arjun K.
2
2013
Generalization of two theorems due to Ramanujan. Zbl 1277.33005
Kim, Y. S.; Rathie, A. K.; Paris, R. B.
2
2013
On a new class of integrals involving hypergeometric function. Zbl 1312.33013
Rakha, Medhat A.; Rathie, Arjun K.; Chaudhary, M. P.; Ali, Shoukat
2
2012
New Laplace transforms of Kummer’s confluent hypergeometric functions. Zbl 1255.44002
Kim, Yong Sup; Rathie, Arjun K.; Cvijović, Djurdje
2
2012
On a new class of summation formulae involving the Laguerre polynomial. Zbl 1273.33010
Kim, Y. S.; Rathie, A. K.; Paris, R. B.
2
2012
On the computations of contiguous relations for \(_{2}F_{1}\) hypergeometric series. Zbl 1168.33315
Rakha, Medhat A.; Ibrahim, Adel K.; Rathie, Arjun K.
2
2009
A new proof of Watson’s theorem for the series \(_3F_2(1)\). Zbl 1163.33304
Rathie, Arjun K.; Paris, R. B.
2
2009
New summation formula for \(_3F_2(\frac{1}{2})\) and a Kummer-type II transformation of \(_2F_2(x)\). Zbl 1146.33002
Rathie, Arjun K.; Pogány, Tibor K.
2
2008
A note on Gauss’s second summation theorem for the series \(_2 F_1 (1/2)\). Zbl 1168.33304
Choi, Junesang; Rathie, Arjun K.; Purnima
2
2007
A summation formula of \(_ 6F_ 5(1)\). Zbl 1101.33302
Choi, Junesang; Rathie, Arjun K.; Malani, Shaloo
2
2004
Further results on Srivastava’s triple hypergeometric series \(H_A\) and \(H_C\). Zbl 1081.33023
Rathie, Arjun K.; Kim, Yong Sup
2
2004
Another method for a new two-term relation for the hypergeometric function \(_{3}F_{2}\) due to Exton. Zbl 1044.33003
Rathie, Arjun K.; Kim, Yong Sup; Song, Hyeong Kee
2
2004
Some hypergeometric and other evaluations of \(\zeta (2)\) and allied series. Zbl 0965.11039
Choi, Junesang; Rathie, Arjun K.; Srivastava, H. M.
2
1999
A note on generalizations of Preece’s identity and other contiguous results. Zbl 0902.33003
Rathie, Arjun K.; Choi, Junesang
2
1998
An evaluation of \(\zeta(2)\). Zbl 0934.11040
Choi, Junesang; Rathie, Arjun K.
2
1997
A short proof of Preece’s identities and other contiguous results. Zbl 0924.33003
Rathie, Arjun K.
2
1997
On a new class of Eulerian’s type integrals involving generalized hypergeometric functions. Zbl 1409.33004
Jun, Sungtae; Kim, Insuk; Rathie, Arjun K.
1
2019
Evaluations of some terminating hypergeometric \(_2F_1(2)\) series with applications. Zbl 1424.33015
Kim, Yong Sup; Rathie, Arjunkumar; Paris, Richard Bruce
1
2018
Evaluation of a new class of double definite integrals. Zbl 1382.33013
Gaboury, Sébastien; Rathie, Arjun Kumar
1
2017
Reducibility of certain Kampé de Fériet function with an application to generating relations for products of two Laguerre polynomials. Zbl 06749859
Choi, Junesang; Rathie, Arjun K.
1
2016
A study of \(q\)-contiguous function relations. Zbl 1347.33011
Harsh, Harsh Vardhan; Kim, Yong Sup; Rakha, Medhat Ahmed; Rathie, Arjun Kumar
1
2016
Some recurrence relations for the Jacobi polynomials \(P_n^{(\alpha, \beta)} (x)\). Zbl 1336.33006
Choi, Junesang; Raj S. N., Shine; Rathie, Arjun K.
1
2015
An alternative proof of the extended Saalschütz summation theorem for the \(_{r + 3}F_{r + 2}(1)\) series with applications. Zbl 1347.33015
Kim, Yong S.; Rathie, Arjun. K.; Paris, Richard B.
1
2015
\(\pi\) and other formulae implied by hypergeometric summation theorems. Zbl 1336.33014
Kim, Yong Sup; Rathie, Arjun Kumar; Wang, Xiaoxia
1
2015
Certain new generating relations for products of two Laguerre polynomials. Zbl 1331.33017
Choi, Junesang; Rathie, Arjun Kumar
1
2015
On a new class of series identities. Zbl 1325.33002
Shekhawat, Nidhi; Choi, Junesang; Rathie, Arjun K.; Prakash, Om
1
2015
A note on some summations due to Ramanujan, their generalization and some allied series. Zbl 06755910
Rathie, A. K.; Paris, R. B.
1
2014
A study of I-functions of two variables. Zbl 1318.33025
Kumari, Shantha K.; Nambisan, T. M. Vasudevan; Rathie, Arjun K.
1
2014
On two formulas contiguous to a transformation due to Bailey. Zbl 1306.33011
Neethu, P.; Rakha, Medhat A.; Rathie, Arjun K
1
2014
Two general hypergeometric transformation formulas. Zbl 1300.33005
Choi, Junesang; Rathie, Arjun K.
1
2014
New results for the series \(_2F_1(x)\) with an application. Zbl 1296.33013
Choi, Junesang; Rathie, Arjun Kumar
1
2014
Extension of a quadratic transformation due to Whipple with an application. Zbl 1390.33018
Wang, Xiaoxia; Rathie, Arjun K.
1
2013
Relations between Lauricella’s triple hypergeometric function \(F_A^{(3)}(x,y,z)\) and Exton’s function \(X_8\). Zbl 1367.33008
Choi, Junesang; Rathie, Arjun K.
1
2013
A new proof of the extended Saalschutz’s summation theorem for the series \(_{4}F_{3}\) and its applications. Zbl 1296.33008
Choi, Junesang; Rathie, Arjun K.; Chopra, Purnima
1
2013
On an extension of Kummer’s second theorem. Zbl 1277.33008
Rakha, Medhat A.; Awad, Mohamed M.; Rathie, Arjun K.
1
2013
A new proof of Saalschütz’s theorem for the series \({}_3F_2(1)\) and its contiguous results with applications. Zbl 1235.33002
Kim, Yong Sup; Rathie, Arjun Kumar
1
2012
Two formulas contiguous to a quadratic transformation due to Kummer with an application. Zbl 1263.33003
Choi, Junesang; Rathie, Arjun K.
1
2011
Applications of a generalized form of Gauss’s second theorem to the series \({}_{3}F_{2}\). Zbl 1246.33002
Kim, Yong Sup; Rathie, Arjun K.
1
2011
Generalizations of two summation formulas for the generalized hypergeometric function of higher order due to Exton. Zbl 1210.33011
Choi, Junesang; Rathie, Arjun Kumar
1
2010
Summation formulas derived from the Srivastava’s triple hypergeometric series \(H_C\). Zbl 1217.33023
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang
1
2010
Another method for Padmanabham’s transformation formula for Exton’s triple hypergeometric series \(X_8\). Zbl 1231.33007
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang
1
2009
On a summation formula for the Clausen’s series \(_3F_2\) with applications. Zbl 1199.33006
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K.
1
2009
Applications of generalized Kummer’s summation theorem for the series \(_{2}F_{1}\). Zbl 1188.33008
Kim, Yong Sup; Rathie, Arjun K.
1
2009
Generalization of a transformation formula found by Baillon and Bruck. Zbl 1168.33308
Rathie, Arjun K.; Kim, Yong Sup
1
2008
Comment on ‘A summation formula for Clausen’s series \(_{3}F_{2}(1)\) with an application to Goursat’s function \(_{2}F_{2}(x)\)’. Zbl 1132.33314
Kim, Yong Sup; Rathie, Arjun K.
1
2008
Another derivation method of summation formula for the series \({}_3F_2(-1)\) and \({}_4F_3(1)\). Zbl 1265.33017
Pogány, Tibor K.; Rathie, Arjun K.
1
2007
Quadratic transformations involving hypergeometric functions of two and higher order. Zbl 1105.33009
Choi, Junesang; Rathie, Arjun K.
1
2006
Remark on two results by Padmanabham for Exton’s triple hypergeometric series \(X_8\). Zbl 1333.33007
Choi, Junesang; Kim, Yong Sup; Park, Ju Hee; Rathie, Arjun K.; Lee, Seung Woo
1
2005
Three-term contiguous functional relations for basic hypergeometric series \(_2\phi_1\). Zbl 1086.33016
Kim, Yong Sup; Rathie, Arjun K.; Choi, Junesang
1
2005
On \(q\)-Gauss’s second summation theorem. Zbl 1081.33031
Kim, Yong Sup; Rathie, Arjun K.; Lee, Chang Hyun
1
2005
Certain summation formulas due to Ramanujan and their generalizations. Zbl 1080.33007
Rathie, Arjun K.; Malani, Shaalo; Mathur, Ramanujan; Choi, Junedang
1
2005
Note on Srivastava’s triple hypergeometric series \(H_ A\) and \(H_ C\). Zbl 1101.33303
Kim, Yong Sup; Rathie, Arjun K.; Choi, Junesang
1
2003
A summation formula for the series \(_3F_2\). Zbl 1059.33501
Rathie, A. K.; Nagar, Vishakha; Chhajer, G. C.
1
2001
Some summation formulas for the Appell’s function \(F_1\). Zbl 1004.33003
Choi, Junesang; Harsh, Harshvardhan; Rathie, Arjun K.
1
2001
On two results contiguous to a quadratic transformation formula due to Gauss. Zbl 0974.33004
Rathie, Arjun K.; Kim, Yong Sup
1
2001
Another new hypergeometric generating relation contiguous to that of Exton. Zbl 0988.33006
Malani, Shaloo; Rathie, Arjun K.; Choi, Junesang
1
2000
Some families of infinite series. Zbl 0941.40002
Choi, Junesang; Srivastava, H. M.; Seo, Tae Young; Rathie, Arjun K.
1
1999
Another proof of Kummer’s second theorem. Zbl 0968.33006
Rathie, Arjun K.; Choi, Junesang
1
1998
On compound distribution. Zbl 0708.62015
Rathie, Arjun K.
1
1987
Distribution of the likelihood ratio criterion for the problem of K samples. Zbl 0529.62044
Gupta, A. K.; Rathie, A. K.
1
1982
Identities for the \(H\)-function. Zbl 1195.33146
Rathie, A. K.
1
1981
On a new class of Eulerian’s type integrals involving generalized hypergeometric functions. Zbl 1409.33004
Jun, Sungtae; Kim, Insuk; Rathie, Arjun K.
1
2019
Applications of extended Watson’s summation theorem. Zbl 1424.33029
Kim, Young Sup; Gaboury, Sebastien; Rathie, Arjun Kumar
2
2018
Evaluations of some terminating hypergeometric \(_2F_1(2)\) series with applications. Zbl 1424.33015
Kim, Yong Sup; Rathie, Arjunkumar; Paris, Richard Bruce
1
2018
On new reduction formulas for the Humbert functions \(\Psi_2\), \(\Phi_2\) and \(\Phi_3\). Zbl 1367.33015
Brychkov, Yu. A.; Kim, Yong Sup; Rathie, Arjun K.
3
2017
A new class of double integrals involving generalized hypergeometric functions. Zbl 1371.33011
Choi, Junesang; Rathie, A. K.
2
2017
Evaluation of a new class of double definite integrals. Zbl 1382.33013
Gaboury, Sébastien; Rathie, Arjun Kumar
1
2017
Reducibility of certain Kampé de Fériet function with an application to generating relations for products of two Laguerre polynomials. Zbl 06749859
Choi, Junesang; Rathie, Arjun K.
1
2016
A study of \(q\)-contiguous function relations. Zbl 1347.33011
Harsh, Harsh Vardhan; Kim, Yong Sup; Rakha, Medhat Ahmed; Rathie, Arjun Kumar
1
2016
Certain summation formulas for Humbert’s double hypergeometric series \(\Psi_2\) and \(\Phi_2\). Zbl 1329.33005
Choi, Junesang; Rathie, Arjun Kumar
4
2015
Evaluation of certain new class of definite integrals. Zbl 1318.33005
Choi, Junesang; Rathie, Arjun K.
2
2015
Some recurrence relations for the Jacobi polynomials \(P_n^{(\alpha, \beta)} (x)\). Zbl 1336.33006
Choi, Junesang; Raj S. N., Shine; Rathie, Arjun K.
1
2015
An alternative proof of the extended Saalschütz summation theorem for the \(_{r + 3}F_{r + 2}(1)\) series with applications. Zbl 1347.33015
Kim, Yong S.; Rathie, Arjun. K.; Paris, Richard B.
1
2015
\(\pi\) and other formulae implied by hypergeometric summation theorems. Zbl 1336.33014
Kim, Yong Sup; Rathie, Arjun Kumar; Wang, Xiaoxia
1
2015
Certain new generating relations for products of two Laguerre polynomials. Zbl 1331.33017
Choi, Junesang; Rathie, Arjun Kumar
1
2015
On a new class of series identities. Zbl 1325.33002
Shekhawat, Nidhi; Choi, Junesang; Rathie, Arjun K.; Prakash, Om
1
2015
Extension of extended beta, hypergeometric and confluent hypergeometric functions. Zbl 1298.33004
Choi, Junesang; Rathie, Arjun K.; Parmar, Rakesh K.
16
2014
On two Thomae-type transformations for hypergeometric series with integral parameter differences. Zbl 1295.33010
Kim, Yong Sup; Rathie, Arjun K.; Paris, Richard Bruce
5
2014
On a reduction formula for the Kampé de Fériet function. Zbl 1315.33017
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K.
2
2014
On the reducibility of Kampé de Fériet function. Zbl 1298.33003
Choi, Junesang; Rathie, Arjun K.
2
2014
Further hypergeometric identities deducible by fractional calculus. Zbl 1300.33006
Gaboury, Sebastien; Rathie, Arjun K.
2
2014
A note on some summations due to Ramanujan, their generalization and some allied series. Zbl 06755910
Rathie, A. K.; Paris, R. B.
1
2014
A study of I-functions of two variables. Zbl 1318.33025
Kumari, Shantha K.; Nambisan, T. M. Vasudevan; Rathie, Arjun K.
1
2014
On two formulas contiguous to a transformation due to Bailey. Zbl 1306.33011
Neethu, P.; Rakha, Medhat A.; Rathie, Arjun K
1
2014
Two general hypergeometric transformation formulas. Zbl 1300.33005
Choi, Junesang; Rathie, Arjun K.
1
2014
New results for the series \(_2F_1(x)\) with an application. Zbl 1296.33013
Choi, Junesang; Rathie, Arjun Kumar
1
2014
An extension of Saalschütz’s summation theorem for the series \(_{r+3}F_{r+2}\). Zbl 1286.33006
Kim, Y. S.; Rathie, A. K.; Paris, R. B.
5
2013
Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences. Zbl 1412.33013
Rathie, Arjun K.; Paris, R. B.
3
2013
On the distribution of the product and the sum of generalized shifted gamma random variables. Zbl 1291.62044
Rathie, Pushpa N.; Rathie, Arjun K.; Ozelim, Luan C. de S. M.
3
2013
Certain hypergeometric identities deducible by using the beta integral method. Zbl 1283.33004
Choi, Junesang; Rathie, Arjun K.; Srivastava, Hari M.
3
2013
On a hypergeometric summation theorem due to Qureshi et al. Zbl 1279.33001
Choi, Junesang; Rathie, Arjun K.
2
2013
Generalization of two theorems due to Ramanujan. Zbl 1277.33005
Kim, Y. S.; Rathie, A. K.; Paris, R. B.
2
2013
Extension of a quadratic transformation due to Whipple with an application. Zbl 1390.33018
Wang, Xiaoxia; Rathie, Arjun K.
1
2013
Relations between Lauricella’s triple hypergeometric function \(F_A^{(3)}(x,y,z)\) and Exton’s function \(X_8\). Zbl 1367.33008
Choi, Junesang; Rathie, Arjun K.
1
2013
A new proof of the extended Saalschutz’s summation theorem for the series \(_{4}F_{3}\) and its applications. Zbl 1296.33008
Choi, Junesang; Rathie, Arjun K.; Chopra, Purnima
1
2013
On an extension of Kummer’s second theorem. Zbl 1277.33008
Rakha, Medhat A.; Awad, Mohamed M.; Rathie, Arjun K.
1
2013
Two results for the terminating \({}_3F_2(2)\) with applications. Zbl 1258.33002
Kim, Yong Sup; Choi, Junesang; Rathie, Arjun K.
5
2012
On a new class of integrals involving hypergeometric function. Zbl 1312.33013
Rakha, Medhat A.; Rathie, Arjun K.; Chaudhary, M. P.; Ali, Shoukat
2
2012
New Laplace transforms of Kummer’s confluent hypergeometric functions. Zbl 1255.44002
Kim, Yong Sup; Rathie, Arjun K.; Cvijović, Djurdje
2
2012
On a new class of summation formulae involving the Laguerre polynomial. Zbl 1273.33010
Kim, Y. S.; Rathie, A. K.; Paris, R. B.
2
2012
A new proof of Saalschütz’s theorem for the series \({}_3F_2(1)\) and its contiguous results with applications. Zbl 1235.33002
Kim, Yong Sup; Rathie, Arjun Kumar
1
2012
Generalizations of classical summation theorems for the series \(_{2} F_{1}\) and \(_{3} F_{2}\) with applications. Zbl 1241.33006
Rakha, Medhat A.; Rathie, Arjun K.
23
2011
Generalization of extended beta function, hypergeometric and confluent hypergeometric functions. Zbl 1239.33003
Lee, Dong Myung; Rathie, Arjun K.; Parmar, Rakesh K.; Kim, Young Sup
11
2011
A generalization of a formula due to Kummer. Zbl 1241.33009
Choi, Junesang; Rathie, Arjun K.; Srivastava, H. M.
5
2011
Extensions of Euler type II transformation and Saalschütz’s theorem. Zbl 1214.33003
Rakha, Medhat A.; Rathie, Arjun K.
5
2011
On some new contiguous relations for the Gauss hypergeometric function with applications. Zbl 1217.33006
Rakha, Medhat A.; Rathie, Arjun K.; Chopra, Purnima
4
2011
Two formulas contiguous to a quadratic transformation due to Kummer with an application. Zbl 1263.33003
Choi, Junesang; Rathie, Arjun K.
1
2011
Applications of a generalized form of Gauss’s second theorem to the series \({}_{3}F_{2}\). Zbl 1246.33002
Kim, Yong Sup; Rathie, Arjun K.
1
2011
Generalization of Kummer’s second theorem with applications. Zbl 1224.33001
Sup Kim, Yong; Rakha, M. A.; Rathie, A. K.
7
2010
Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan’s summations. Zbl 1210.33012
Kim, Yong Sup; Rakha, Medhat A.; Rathie, Arjun K.
6
2010
Generalizations of two summation formulas for the generalized hypergeometric function of higher order due to Exton. Zbl 1210.33011
Choi, Junesang; Rathie, Arjun Kumar
1
2010
Summation formulas derived from the Srivastava’s triple hypergeometric series \(H_C\). Zbl 1217.33023
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang
1
2010
On the computations of contiguous relations for \(_{2}F_{1}\) hypergeometric series. Zbl 1168.33315
Rakha, Medhat A.; Ibrahim, Adel K.; Rathie, Arjun K.
2
2009
A new proof of Watson’s theorem for the series \(_3F_2(1)\). Zbl 1163.33304
Rathie, Arjun K.; Paris, R. B.
2
2009
Another method for Padmanabham’s transformation formula for Exton’s triple hypergeometric series \(X_8\). Zbl 1231.33007
Kim, Yong Sup; Rathie, Arjun Kumar; Choi, Junesang
1
2009
On a summation formula for the Clausen’s series \(_3F_2\) with applications. Zbl 1199.33006
Kim, Yong Sup; Pogány, Tibor K.; Rathie, Arjun K.
1
2009
Applications of generalized Kummer’s summation theorem for the series \(_{2}F_{1}\). Zbl 1188.33008
Kim, Yong Sup; Rathie, Arjun K.
1
2009
A study of new hypergeometric transformations. Zbl 1157.33003
Rathie, Arjun K.; Rakha, Medhat A.
7
2008
New summation formula for \(_3F_2(\frac{1}{2})\) and a Kummer-type II transformation of \(_2F_2(x)\). Zbl 1146.33002
Rathie, Arjun K.; Pogány, Tibor K.
2
2008
Generalization of a transformation formula found by Baillon and Bruck. Zbl 1168.33308
Rathie, Arjun K.; Kim, Yong Sup
1
2008
Comment on ‘A summation formula for Clausen’s series \(_{3}F_{2}(1)\) with an application to Goursat’s function \(_{2}F_{2}(x)\)’. Zbl 1132.33314
Kim, Yong Sup; Rathie, Arjun K.
1
2008
An extension of the Euler-type transformation for the \(_3F_2\) series. Zbl 1151.33006
Rathie, A. K.; Paris, R. B.
3
2007
Kummer’s theorem and its contiguous identities. Zbl 1135.33007
Choi, Junesang; Rathie, Arjun K.; Malani, Shaloo
3
2007
On an extension formulas for the triple hypergeometric series \(X_8\) due to Exton. Zbl 1132.33313
Kim, Yong Sup; Rathie, Arjun K.
3
2007
A note on Gauss’s second summation theorem for the series \(_2 F_1 (1/2)\). Zbl 1168.33304
Choi, Junesang; Rathie, Arjun K.; Purnima
2
2007
Another derivation method of summation formula for the series \({}_3F_2(-1)\) and \({}_4F_3(1)\). Zbl 1265.33017
Pogány, Tibor K.; Rathie, Arjun K.
1
2007
Quadratic transformations involving hypergeometric functions of two and higher order. Zbl 1105.33009
Choi, Junesang; Rathie, Arjun K.
1
2006
On Preece’s identity and other contiguos results. Zbl 1091.33011
Choi, Junesang; Rathie, Arjun K.; Bhojak, Bharti
3
2005
Remark on two results by Padmanabham for Exton’s triple hypergeometric series \(X_8\). Zbl 1333.33007
Choi, Junesang; Kim, Yong Sup; Park, Ju Hee; Rathie, Arjun K.; Lee, Seung Woo
1
2005
Three-term contiguous functional relations for basic hypergeometric series \(_2\phi_1\). Zbl 1086.33016
Kim, Yong Sup; Rathie, Arjun K.; Choi, Junesang
1
2005
On \(q\)-Gauss’s second summation theorem. Zbl 1081.33031
Kim, Yong Sup; Rathie, Arjun K.; Lee, Chang Hyun
1
2005
Certain summation formulas due to Ramanujan and their generalizations. Zbl 1080.33007
Rathie, Arjun K.; Malani, Shaalo; Mathur, Ramanujan; Choi, Junedang
1
2005
A summation formula of \(_ 6F_ 5(1)\). Zbl 1101.33302
Choi, Junesang; Rathie, Arjun K.; Malani, Shaloo
2
2004
Further results on Srivastava’s triple hypergeometric series \(H_A\) and \(H_C\). Zbl 1081.33023
Rathie, Arjun K.; Kim, Yong Sup
2
2004
Another method for a new two-term relation for the hypergeometric function \(_{3}F_{2}\) due to Exton. Zbl 1044.33003
Rathie, Arjun K.; Kim, Yong Sup; Song, Hyeong Kee
2
2004
Note on Srivastava’s triple hypergeometric series \(H_ A\) and \(H_ C\). Zbl 1101.33303
Kim, Yong Sup; Rathie, Arjun K.; Choi, Junesang
1
2003
A summation formula for the series \(_3F_2\). Zbl 1059.33501
Rathie, A. K.; Nagar, Vishakha; Chhajer, G. C.
1
2001
Some summation formulas for the Appell’s function \(F_1\). Zbl 1004.33003
Choi, Junesang; Harsh, Harshvardhan; Rathie, Arjun K.
1
2001
On two results contiguous to a quadratic transformation formula due to Gauss. Zbl 0974.33004
Rathie, Arjun K.; Kim, Yong Sup
1
2001
Another new hypergeometric generating relation contiguous to that of Exton. Zbl 0988.33006
Malani, Shaloo; Rathie, Arjun K.; Choi, Junesang
1
2000
Some hypergeometric and other evaluations of \(\zeta (2)\) and allied series. Zbl 0965.11039
Choi, Junesang; Rathie, Arjun K.; Srivastava, H. M.
2
1999
Some families of infinite series. Zbl 0941.40002
Choi, Junesang; Srivastava, H. M.; Seo, Tae Young; Rathie, Arjun K.
1
1999
A note on generalizations of Preece’s identity and other contiguous results. Zbl 0902.33003
Rathie, Arjun K.; Choi, Junesang
2
1998
Another proof of Kummer’s second theorem. Zbl 0968.33006
Rathie, Arjun K.; Choi, Junesang
1
1998
A new generalization of generalized hypergeometric functions. Zbl 0946.33011
Rathie, Arjun K.
10
1997
An evaluation of \(\zeta(2)\). Zbl 0934.11040
Choi, Junesang; Rathie, Arjun K.
2
1997
A short proof of Preece’s identities and other contiguous results. Zbl 0924.33003
Rathie, Arjun K.
2
1997
Generalizations of Whipple’s theorem on the sum of a \({}_ 3 F_ 2\). Zbl 0853.33005
Lavoie, J. L.; Grondin, F.; Rathie, A. K.
33
1996
On Kummer’s second theorem involving product of generalized hypergeometric series. Zbl 0842.33003
Rathie, Arjun K.; Nagar, Vishakha
3
1995
Generalizations of Dixon’s theorem on the sum of a \(_ 3F_ 2\). Zbl 0793.33006
Lavoie, J. L.; Grondin, F.; Rathie, A. K.; Arora, K.
22
1994
Generalizations of Watson’s theorem on the sum of a \(_ 3F_ 2\). Zbl 0793.33005
Lavoie, J. L.; Grondin, F.; Rathie, A. K.
23
1992
On compound distribution. Zbl 0708.62015
Rathie, Arjun K.
1
1987
Distribution of the likelihood ratio criterion for the problem of K samples. Zbl 0529.62044
Gupta, A. K.; Rathie, A. K.
1
1982
Identities for the \(H\)-function. Zbl 1195.33146
Rathie, A. K.
1
1981
all top 5

Cited by 152 Authors

37 Rathie, Arjun Kumar
15 Choi, Junesang
15 Kim, Yong Sup
11 Paris, Richard Bruce
11 Rakha, Medhat Ahmed
11 Srivastava, Hari Mohan
10 Agarwal, Praveen
8 Parmar, Rakesh Kumar
6 Sooppy Nisar, Kottakkaran
5 Rahman, Gauhar
5 Rathie, Pushpa Narayan
4 Baboo, M. S.
4 Kim, Insuk
4 Luo, Minjie
4 Pogány, Tibor K.
3 Gaboury, Sébastien
3 Karp, Dmitriĭ Borisovich
3 Kumar, Dinesh
3 Mubeen, Shahid
3 Prilepkina, Elena Gumarovna
3 Qureshi, Mohammad Idris
3 Suthar, Daya Lal
3 Vyas, Yashoverdhan
2 Awad, Mohamed M.
2 Awad, Mohammed M.
2 Ayant, Frédéric Y.
2 Brychkov, Yury A.
2 Çetinkaya, Ayşegül
2 Chaurasia, Vinod Bihari Lal
2 Chopra, Purnima
2 Chu, Wenchang
2 Cvijović, Djurdje
2 Ernst, Thomas
2 Gill, Vinod
2 Jain, Silpi
2 Kiliçman, Adem
2 Kıymaz, İ. Onur
2 Lin, Shyder
2 Miller, Allen Richard
2 Nisar, Kottakkaran S.
2 de Sena Monteiro Ozelim, Luan Carlos
2 Qureshi, Muhammad Imran
2 Raina, Ravinder Krishna
2 Wang, Xiaoxia
2 Wei, Chuanan
1 Abd-Elfattah, Ehab F.
1 Agarwal, Ravi P.
1 Agarwal, Ritu
1 Ahmad, Ashfaq
1 Ahmad, Moin
1 Al-Shomrani, Ali A.
1 Alqurashi, Maysaa M.
1 Altun, Ömer
1 Alvarenga Silva, Wanessa de
1 Andrade, Jose Ailton Alencar
1 Arshad, Muhammad Sarmad
1 Atash, Ahmed Ali
1 Ayant, Frdric
1 Băleanu, Dumitru I.
1 Banerji, Pradeep Kumar
1 Bertola, Marco
1 Bohner, Martin J.
1 Candezano, Miguel A. C.
1 Chinra, Sivamani
1 Clark, Steven P.
1 Dar, Showkat Ahmad
1 de S. M. Ozelim, L. C.
1 Dias, Ugo Silva
1 Dohse, Max
1 Dubrovin, Boris Anatol’evich
1 Fatawat, Kalpana
1 Ghaffar, Abdul
1 Ghayasuddin, Mohd
1 Gochhayat, Priyabrat
1 Gong, Dianxuan
1 Grondin, Frédéric
1 Groth, Frederick
1 Hailay, Teklay
1 Haq, Sirazul
1 Hasanov, Anvar H.
1 Henkel, Malte
1 Ibrahim, Adel Kh.
1 J., Prathima
1 Jain, Shilpi
1 Jain, Sonal
1 Jankov Maširević, Dragana
1 Jayarama, Prathima
1 Jordaan, Kerstin
1 Juršėnas, Rytis
1 Kamalappan, Vilfred
1 Kar, P. P.
1 Kashif Khan, M.
1 Kataria, Kuldeep Kumar
1 Kenfack-Nangho, Maurice
1 Khan, Abdul Hamid
1 Khan, Nabiullah U.
1 Khan, Waseem Ahmad
1 Koepf, Wolfram A.
1 Kumar, Rahul
1 Kurumujji, Shantha Kumari
...and 52 more Authors
all top 5

Cited in 65 Serials

10 Integral Transforms and Special Functions
8 Advances in Difference Equations
6 Journal of Computational and Applied Mathematics
6 Communications of the Korean Mathematical Society
5 Applied Mathematics and Computation
5 Turkish Journal of Mathematics
5 Honam Mathematical Journal
4 Journal of Applied Mathematics, Statistics and Informatics
3 Journal of Mathematical Analysis and Applications
3 Mathematical Methods in the Applied Sciences
3 Results in Mathematics
3 Abstract and Applied Analysis
3 Journal of Inequalities and Applications
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Applications and Applied Mathematics
3 Journal of Nonlinear Science and Applications
3 Journal of Classical Analysis
3 Asia Pacific Journal of Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Advances in Applied Mathematics
2 Mathematical and Computer Modelling
2 Russian Journal of Mathematical Physics
2 The Ramanujan Journal
2 East Asian Mathematical Journal
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 Journal of the Franklin Institute
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Theory of Probability and its Applications
1 Kyungpook Mathematical Journal
1 Rendiconti del Seminario Matematico della Università di Padova
1 Bulletin of the Korean Mathematical Society
1 Statistics & Probability Letters
1 Acta Applicandae Mathematicae
1 Physica D
1 Applied Mathematics Letters
1 Numerical Algorithms
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Communications in Statistics. Theory and Methods
1 The Journal of Analysis
1 Journal of the Egyptian Mathematical Society
1 Far East Journal of Theoretical Statistics
1 Communications in Nonlinear Science and Numerical Simulation
1 Lobachevskii Journal of Mathematics
1 Integers
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Thai Journal of Mathematics
1 Cubo
1 Journal of Mathematical Inequalities
1 Acta Universitatis Sapientiae. Mathematica
1 International Journal of Combinatorics
1 ISRN Mathematical Analysis
1 Palestine Journal of Mathematics
1 Axioms
1 Problemy Analiza. Issues of Analysis
1 International Journal of Engineering Mathematics
1 International Journal of Applied and Computational Mathematics
1 Open Mathematics
1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Citations by Year