Families of log Legendre Chi function integrals

DOI10.2298/aadm200506021sMaRDI QIDQ6567838

Anthony Sofo

Publication date: 5 July 2024

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

polylogarithm functionEuler sumLegendre Chi functionDirichlet lambda functionDirichlet beta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Numerical summation of series (65B10)

Cites Work

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• Parametric Euler sum identities
• Integral representations of the Legendre chi function
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
• On harmonic numbers and nonlinear Euler sums
• Euler sums and Stirling sums
• (Almost) impossible integrals, sums, and series. With a foreword by Paul J. Nahin
• On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums
• Four parametric linear Euler sums
• A family of shifted harmonic sums
• The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\)
• Extensions of Euler harmonic sums
• SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION
• On the Numerical Evaluation of Legendre's Chi-Function
• Euler Sums and Contour Integral Representations
• Values of the Legendre chi and Hurwitz zeta functions at rational arguments
• Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
• Explicit evaluation of Euler sums
• Hypergeometric approach to Apéry-like series
• General order Euler sums with rational argument
• New interesting Euler sums
• The representation of the generalized linear Euler sums with parameters
• SHIFTED HARMONIC SUMS OF ORDER TWO

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