Certain Basic Hypergeometric Identities

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Authors

  • Department of Mathematics, Lucknow University, Lucknow ,IN

Abstract

As consequences of his results, he derived certain interesting identities. In the present note, we have generalized the above two results in an attempt to show that such identities are only special cases of more general identities in the theory of generalized 'bibasic' hypergeometric series.

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Published

1974-12-01

How to Cite

Upadhyay, M. (1974). Certain Basic Hypergeometric Identities. The Journal of the Indian Mathematical Society, 38(1-4), 255–262. Retrieved from http://www.informaticsjournals.com/index.php/jims/article/view/16699

 

References

ANDREWS G. E. "On basic hypergeometric series, mock theta functions and partitions" Quart. J. Math. (Oxford) 17 (1966), 64-80.

ANDREWS, G. E. "On a tranformation of bilateral series with applications" Proc. Amer. Math. Soc. 25 (1970), 54-58.

KESAVA MENON, P. "On Ramanujan's continued fraction and related identities. J. London Math. Soc. 40 (1965), 49-54.

SLATER, L. J., "Generalized Hypergeometric Functions" Cambridge University Press, 1966.

UPADHYAY, M., "Contributions to the theory of generalized basic hypergeometric series" Thesis Lucknow University, 1970.

WATSON, G. N., "The final problem: an account of the mock theta functions" J. London Math. Soc. 11 (1936), 55-80.