Two q-summation formulas and q-analogues of series expansions for certain constants

2018/04/23 by Bing He, He, Bing, Hongcun Zhai +1
Mathematics · #33D05 #33D15 #65B10 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1804.08210

openalex publication_date 2018/04/23 · openalex created_date 2018/09/27 · openalex updated_date 2026/07/28

Abstract

From two q-summation formulas we deduce certain series expansion formulas involving the q-gamma function. With these formulas we can give q-analogues of series expansions for certain constants.

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