Number Theory

    

An Identity with Symmetry in Basic Hypergeometric Series and Its Applications

Authors: Edigles Bezerra Guedes

This paper determines a symmetry relation between basic hypergeometric series that has escaped the scrutiny of other mathematicians.As a direct application of this identity,we derive a double-sum symmetry and present a particular case as an exercise. Theseresults contribute to the understanding of hidden symmetries in ��-series. Moreover, it may be useful in the study of basic hypergeometricfunctions and ��-analogues of special functions.

Comments: 4 Pages. (Note by viXra.org Admin: Please cite listed scientific references)

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[v1] 2026-05-06 20:09:12

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