Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem

International Journal of Mathematics and Mathematical Sciences

Volumn 2005, Issue 1, 2005, Pages 143-153

  Qureshi, M I ^a   Sadiq Khan, M ^b   Pathan, M A ^c  

^a Faculty of Engineering and Technology   (India)

^b Shibli National College   (India)

^c ALIGARH MUSLIM UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21044448670     PISSN: 01611712     EISSN: None     Source Type: Journal    
DOI: 10.1155/IJMMS.2005.143     Document Type: Article

References (15)

1. W. N. Bailey, Products of generalized hypergeometric series, Proc. London Math. Soc. (2) 28 (1928), 242-254.
2. 2 (1), Quart. J. Math. Oxford Ser. (2) 4 (1953), 237-240.
3. W. N. Bailey, Generalized Hypergeometric Series, Cambridge Tracts in Mathematics and Mathematical Physics, no. 32, Stechert-Haffier, New York, 1964.
4. R. G. Buschman and H. M. Srivastava, Series identities and reducibility of Kampé de Fériet functions, Math. Proc. Cambridge Philos. Soc. 91 (1982), no. 3, 435-440.
5. H. Exton, Multiple Hypergeometric Functions and Applications, Ellis Horwood, Chichester; Halsted Press (John Wiley & Sons), New York, 1976.
6. H. Exton, Reducible double hypergeometric functions and associated integrals, An. Fac. Ciênc. Univ. Porto 63 (1982), no. 1-4, 137-143.
7. B. Khan and M. A. Pathan, On certain hypergeometric function of three variables. I, Soochow J. Math. 7 (1981), 85-91.
8. M. A. Pathan, On a transformation of a general hypergeometric series of four variables, Nederl. Akad. Wetensch. Indag. Math. 41 (1979), no. 2, 171-175.
9. E. D. Rainville, Special Functions, The Macmillan, New York, 1960, reprinted by Chelsea Publishing, New York, 1971.
10. H. M. Srivastava, Generalized Neumann expansions involving hypergeometric functions, Proc. Cambridge Philos. Soc. 63 (1967), 425-429.
11. H. M. Srivastava, A formal extension of certain generating functions. II, Glasnik Mat. Ser. III 6 (1971), no. 1, 35-44.
12. H. M. Srivastava, A note on certain identities involving generalized hypergeometric series, Nederl. Akad. Wetensch. Indag. Math. 41 (1979), no. 2, 191-201.
13. H. M. Srivastava and P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Mathematics and Its Applications, Ellis Horwood, Chichester; Halsted Press (John Wiley & Sons), New York, 1985.
14. H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Mathematics and Its Applications, Ellis Horwood, Chichester; Halsted Press (John Wiley & Sons), New York, 1984.
15. H. M. Srivastava and R. Panda, An integral representation for the product of two Jacobi polynomials, J. London Math. Soc. (2) 12 (1976), no. 4, 419-425.