Applications of q -Real Numbers to Triple q -Hypergeometric Functions and q -Horn Functions

Thomas Ernst ()
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Thomas Ernst: Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, Sweden

Mathematics, 2023, vol. 11, issue 10, 1-11

Abstract: The purpose of this article is to study how q -real numbers can be used for computations of convergence regions, q -integral representations of certain multiple triple q -Lauricella functions. The corresponding q -difference equations are also given without proof. In the process, we slightly improve Exton’s original formulas. We also survey the current attempts to generalize the above functions to triple and quadruple hypergeometric functions. Finally, we compute some q -analogues of transformation formulas for Horn functions.

Keywords: convergence regions; q -integral representation; q -difference equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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