A Kummer-type Transformation for Some K-Hypergeometric Functions

Applicable analysis（2021）

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Abstract

In this paper, by applying the differential equation techniques and using integral representations, we obtain the Kummer-type transformations of k-hypergeometric functions F-1(1),k((a, k); (b, k); x) and F-2(2),k((d, k), (d, k); (b, k), (c, k); x), which include known results as special cases.

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Key words

Kummer-type transformation,hypergeometric functions,k-hypergeometric functions

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