Add to ORKG(communicated by A. Laforgia) Abstract. In this paper, we use the q-binomial formula to establish an inequality for the basic hypergeometric series r+1φr. As applications of the inequality, we derive a sufficient condition for convergence of a q-series and two other inequalities. 1. Introduction an
Let F(a, b; c; x) be the Gaussian hypergeometric series and for 0 < r< 1 let[formula]G. D. And...
AbstractWe show thatq-hypergeometric identities ∑kF(n,k)=1 can be proved by checking that they are c...
We present alternative, q-hypergeometric proofs of some polynomial analogues of classical q-series i...
We use the q-binomial formula to establish two inequalities for the basic hypergeometric series rφr....
We use inequality technique and the terminating case of the q-binomial formula to give some results ...
We examine the convergence of q-hypergeometric series when |q| = 1. We give a condition so that the ...
We show that if 0 x 2 q 1, then the basic hypergeometric series P n k=0 \Gamma n k \Delta q...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
Abstract In this article, we show two fundamental features of the restriction of Möbius operations t...
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
AbstractWe give a fast elementary algorithm to get a small number n1 for an admissible q-proper-hype...
In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric function...
Contains fulltext : 92101.pdf (publisher's version ) (Open Access
AbstractIn this paper, q-calculus analogues of some classical and some recent integral inequalities ...
This is a continuation of [19], where we presented an extension of the q-hypergeometric function wit...
Let F(a, b; c; x) be the Gaussian hypergeometric series and for 0 < r< 1 let[formula]G. D. And...
AbstractWe show thatq-hypergeometric identities ∑kF(n,k)=1 can be proved by checking that they are c...
We present alternative, q-hypergeometric proofs of some polynomial analogues of classical q-series i...
We use the q-binomial formula to establish two inequalities for the basic hypergeometric series rφr....
We use inequality technique and the terminating case of the q-binomial formula to give some results ...
We examine the convergence of q-hypergeometric series when |q| = 1. We give a condition so that the ...
We show that if 0 x 2 q 1, then the basic hypergeometric series P n k=0 \Gamma n k \Delta q...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
Abstract In this article, we show two fundamental features of the restriction of Möbius operations t...
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
AbstractWe give a fast elementary algorithm to get a small number n1 for an admissible q-proper-hype...
In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric function...
Contains fulltext : 92101.pdf (publisher's version ) (Open Access
AbstractIn this paper, q-calculus analogues of some classical and some recent integral inequalities ...
This is a continuation of [19], where we presented an extension of the q-hypergeometric function wit...
Let F(a, b; c; x) be the Gaussian hypergeometric series and for 0 < r< 1 let[formula]G. D. And...
AbstractWe show thatq-hypergeometric identities ∑kF(n,k)=1 can be proved by checking that they are c...
We present alternative, q-hypergeometric proofs of some polynomial analogues of classical q-series i...