Investigation of Generalized k-Basic Hypergeometric Functions

Dr. Amit Mathur, Ranjeet Singh

Abstract: In this paper, a affiliated proceed towards to Basic Hyergeometric function in form of generalized 'k ?Basic Hypergeometric function / q-analogue of k-Hypergeometric function pɱr, k is given. As a conclude facts, generalized 'k ?Basic Hypergeometric series/q-analogue of k - Hypergeometric series and also conclude its ordinary differential equation with some properties and m^th derivative of k-basic Hypergeometric functions.

Keywords: k-basic Hypergeometric functions, q-analogue, k-pchhammer

How to Cite?: Dr. Amit Mathur, Ranjeet Singh, "Investigation of Generalized k-Basic Hypergeometric Functions", Volume 15 Issue 3, March 2026, International Journal of Science and Research (IJSR), Pages: 1177-1181, https://www.ijsr.net/getabstract.php?paperid=SR26319230437, DOI: https://dx.doi.org/10.21275/SR26319230437

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