Two integrals involving the Legendre chi function
type: Item
instance of: scholarly article
title: Two integrals involving the Legendre chi function
zbMATH Open document ID: 1469.11303
published in: Rocky Mountain Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
Mathematics Subject Classification ID: 11M06
Mathematics Subject Classification ID: 11M35
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 33E20
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 7393766
zbMATH Keywords: Dirichlet beta functions
zbMATH Keywords: Dirichlet lambda function
zbMATH Keywords: Euler sums
zbMATH Keywords: hyperbolic function
zbMATH Keywords: Legendre chi function
zbMATH Keywords: trigonometric function
zbMATH Keywords: zeta functions
author: Anthony Sofo
MaRDI profile type: Publication
full work available at URL: rmj.2021.51.295
OpenAlex ID: W3166123223
Wikidata QID: Q114059493
cites work: Approximation by special values of harmonic zeta function and log-sine integrals
cites work: Four parametric linear Euler sums
cites work: On the Numerical Evaluation of Legendre's Chi-Function
cites work: Explicit evaluation of Euler sums
cites work: Parametric Euler sum identities
cites work: New series involving harmonic numbers and squared central binomial coefficients
cites work: SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION
cites work: Integral representations of the Legendre chi function
cites work: Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
cites work: Values of the Legendre chi and Hurwitz zeta functions at rational arguments
cites work: Euler Sums and Contour Integral Representations
cites work: Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
cites work: The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\)
cites work: Q3916824
cites work: New interesting Euler sums
cites work: Generalized log-sine integrals and Bell polynomials
cites work: Q3605806
cites work: Q5404246
cites work: SHIFTED HARMONIC SUMS OF ORDER TWO
cites work: General order Euler sums with rational argument
cites work: Integrals involving the Legendre Chi function
cites work: Extensions of Euler harmonic sums
cites work: A family of shifted harmonic sums
cites work: Series associated with the zeta and related functions
cites work: (Almost) impossible integrals, sums, and series. With a foreword by Paul J. Nahin
DOI: 10.1216/RMJ.2021.51.295
description: scientific article; zbMATH DE number 7393766