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New $q$-identities Via $q$-Derivative of Basic Hypergeometric Series with Respect to Parameters

Published 26 Feb 2025 in math.CO | (2502.20109v1)

Abstract: In this paper, we use the effect of the $q$-differential and deformed $q$-exponential operators on basic hypergeometric series to find new $q$-identities from the $q$-Gauss sum, the $q$-Chu-Vandermonde's sum, and Jackson's transformation formula.

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Authors (1)

  1. Ronald Orozco López 

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