Generalizing the reciprocal logarithm numbers by adapting the partition method for a power series expansion

DOI10.1007/s10440-008-9304-5zbMath1225.11027OpenAlexW2077268148MaRDI QIDQ1027801

Victor Kowalenko

Publication date: 30 June 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9304-5

zbMATH Keywords

partitionequivalencegamma functionRiemann zeta functionregularizationpolynomialsStirling numbersdivergent seriesBernoulli numbersabsolute convergenceBernoulli polynomialsharmonic numberconditional convergencePochhammer polynomialsrecursion relationpartition method for a power series expansiongeneralized reciprocal logarithm number

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Analytic theory of partitions (11P82)

Related Items

Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to \(\pi^{-1}\) ⋮ Generalized Cosecant Numbers and the Hurwitz Zeta Function ⋮ Applications of the cosecant and related numbers ⋮ On a finite sum involving inverse powers of cosines ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only ⋮ Generalized cosecant numbers and trigonometric inverse power sums ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• Mathematica

Cites Work

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