Results 141 to 150 of about 3,647,357 (169)
Certain Transformations of Nearly-Poised Bilateral Hypergeometric Series of Special Type
Canadian Journal of Mathematics, 1958 A few years ago Bailey (1) gave certain transformations of both terminating and non-terminating nearly-poised hypergeometric series of the ordinary type and later on he also deduced basic analogues of some of his transformations. Recently, (3) I gave certain transformations of both ordinary and basic terminating nearly-poised bilateral hypergeometric ...
H. S. Shukla
openaire +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
More Semi-Finite Forms of Bilateral Basic Hypergeometric Series
Annals of Combinatorics, 2007We prove some new semi-finite forms of bilateral basic hypergeometric series. One of them yields in a direct limit Bailey’s celebrated 6ψ6 summation formula, answering a question recently raised by Chen and Fu.
Frédéric Jouhet, Jouhet Frédéric
exaly +2 more sources
The basic bilateral hypergeometric series and the mock theta functions
Ramanujan Journal, 2011In his last letter to G. N. Hardy, S. Ramanujan introduced the mock theta functions, and he also presented mock theta functions and their identities in his last note book. G. N. Watson investigated the relations between Ramanujan's fifth order mock theta function and the function introduced by M. Lerch. In this paper, the author introduces the infinite
exaly +2 more sources
On Certain Transformations of Bilateral Basic Hypergeometric Series
Journal of Advanced Mathematics and Applications, 2016S. Ahmad Ali, S. Nadeem Hasan Rizvi
exaly +2 more sources
Two new transformation formulas of basic hypergeometric series [PDF]
Journal of Mathematical Analysis and Applications, 2007 By means of a modified version of Cauchy's method for obtaining bilateral series identities, two new transformation formulas for bilateral basic hypergeometric series are derived. These contain several important identities for basic hypergeometric series
Zhizheng Zhang
exaly +2 more sources
Summation theorems for multidimensional basic hypergeometric series by determinant evaluations [PDF]
Discrete Mathematics, 2000 We derive summation formulas for a specific kind of multidimensional basic hypergeometric series associated to root systems of classical type. We proceed by combining the classical (one-dimensional) summation formulas with certain determinant evaluations.
Michael Schlosser
exaly +2 more sources
A note on the sums of certain bilateral hypergeometric series
Mathematical Proceedings of the Cambridge Philosophical Society, 1959Some years ago M. Jackson(5) obtained the sum of a particular 3H3 series which generalized the theorems of Whipple and Watson on sums of a 3F2 series, and later she(6) deduced the sum of a particular well-poised 6H6( – 1) series. In this note sums of certain particular bilateral hypergeometric series of the same type are given.
openaire +2 more sources
Certain product theorems for bilateral hypergeometric series
Mathematical Proceedings of the Cambridge Philosophical Society, 1966Introduction. Agarwalin 1953 ((1)) gave the most general transformations involving bilateral cognate trigonometrical series of the hypergeometric type. Later, Shukla in 1957 ((2)) gave certain relations involving the products of two bilateral hypergeometric series.
openaire +2 more sources
General Transformations of Bilateral Cognate Trigonometrical Series of Ordinary Hypergeometric Type
Canadian Journal of Mathematics, 1953Whipple [6] was the first to consider transformations connecting well-poised hypergeometric series as particular cases of relations between cognate trigonometrical series. He used contour integrals of the Barnes type to deduce such transformations. Later Sears [3] gave a systematic
openaire +2 more sources