학술논문
Integral representation of some basic k-hypergeometric functions
Document Type
Article
Author
Source
Journal of Applied Mathematics and Informatics, 40(1), pp.205-213 Jan, 2022
Subject
Language
English
ISSN
2234-8417
2734-1194
2734-1194
Abstract
In this paper we give a simple and direct proof of an Euler integral representation for a special class of {}_{q+1}F_{q,k} k-hypergeometric functions for q\geq2. The values of certain {}_{3}F_{2,k} and {}_{4}F_{3,k} functions at x=\frac{1}{k}, some of which can be derived using other methods. We may conclude that for k=1 the results are reduced to [3].