Some integrals and series involving the Stieltjes constants
Donal F. Connon
TL;DR
This paper introduces a Fourier series involving the generalized Stieltjes constants, expanding the mathematical understanding of these constants and their relationships with integrals and series.
Contribution
It presents a novel Fourier series representation that involves the generalized Stieltjes constants, contributing new analytical tools.
Findings
Derived a Fourier series involving Stieltjes constants
Established connections between integrals and series with these constants
Enhanced analytical methods for studying Stieltjes constants
Abstract
Inter alia, we present a Fourier series involving the generalised Stieltjes constants.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Mathematical functions and polynomials