We use inequality technique and the terminating case of the q-binomial formula to give some results on convergence of q-series involving ϕr+1r basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae q-integral
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
Contains fulltext : 92101.pdf (publisher's version ) (Open Access
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
(communicated by A. Laforgia) Abstract. In this paper, we use the q-binomial formula to establish an...
We use the q-binomial formula to establish two inequalities for the basic hypergeometric series rφr....
We examine the convergence of q-hypergeometric series when |q| = 1. We give a condition so that the ...
The q-derivative operator approach is illustrated by reviewing several typical summation formulae of...
In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric function...
summary:The $q$-derivative operator approach is illustrated by reviewing several typical summation f...
AbstractIn this paper, we first give two interesting operator identities, and then, using them and t...
The Horn-Karlsson approach to find convergence regions is applied to find convergence regions for tr...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
We present three q-Taylor formulas with q-integral remainder. The two last proofs require a slight r...
AbstractIn this paper, q-calculus analogues of some classical and some recent integral inequalities ...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
Contains fulltext : 92101.pdf (publisher's version ) (Open Access
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
(communicated by A. Laforgia) Abstract. In this paper, we use the q-binomial formula to establish an...
We use the q-binomial formula to establish two inequalities for the basic hypergeometric series rφr....
We examine the convergence of q-hypergeometric series when |q| = 1. We give a condition so that the ...
The q-derivative operator approach is illustrated by reviewing several typical summation formulae of...
In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric function...
summary:The $q$-derivative operator approach is illustrated by reviewing several typical summation f...
AbstractIn this paper, we first give two interesting operator identities, and then, using them and t...
The Horn-Karlsson approach to find convergence regions is applied to find convergence regions for tr...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
We present three q-Taylor formulas with q-integral remainder. The two last proofs require a slight r...
AbstractIn this paper, q-calculus analogues of some classical and some recent integral inequalities ...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
Contains fulltext : 92101.pdf (publisher's version ) (Open Access
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
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