Values of the Legendre chi and Hurwitz zeta functions at rational arguments

DOI10.1090/S0025-5718-99-01091-1zbMath0936.65006OpenAlexW1965354895WikidataQ56018965 ScholiaQ56018965MaRDI QIDQ4257694

Jacek Klinowski, Djurdje Cvijović

Publication date: 31 August 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-99-01091-1

zbMATH Keywords

Hurwitz zeta functiondiscrete Fourier transformsummation of seriestrigonometric seriesLegendre chi functionrational argumentsclosed form summation

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Other special orthogonal polynomials and functions (33C47) Hurwitz and Lerch zeta functions (11M35) Numerical summation of series (65B10)

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Cites Work

• [https://portal.mardi4nfdi.de/wiki/Publication:3493061 Plana's Summation Formula for ∑ ∞ m = 1,3, � m -2 sin(m α), m -3 cos(mα), m -2 A m , m -3 A m]
• On Certain Slowly Convergent Series Occurring in Plate Contact Problems
• On the Numerical Evaluation of Legendre's Chi-Function
• Closed-Form Summation of Some Trigonometric Series
• New Formulae for the Bernoulli and Euler Polynomials at Rational Arguments
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