Multiple zeta values and Euler's reflection formula for the gamma function
Karin Ikeda, Mika Sakata
TL;DR
This paper provides an algebraic proof of an identity derived from Euler's reflection formula for the gamma function, utilizing Hoffman's harmonic algebra and binomial identities.
Contribution
It introduces a new algebraic proof of a gamma function identity using harmonic algebra and binomial identities, offering a novel approach.
Findings
Algebraic proof of gamma function identity
Application of Hoffman's harmonic algebra
Use of binomial identities
Abstract
In this paper, we give a purely algebraic proof of an identity coming directly from Euler's reflection formula for the gamma function. Our proof uses Hoffman's harmonic algebra and some binomial identities.
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Taxonomy
TopicsAdvanced Mathematical Identities · Thermodynamic properties of mixtures · Functional Equations Stability Results