On some expansions for the Euler gamma function and the Riemann zeta function

DOI10.1016/j.cam.2011.08.020zbMath1277.11024arXiv1007.1955OpenAlexW2167111608MaRDI QIDQ432803

Grzegorz Rządkowski

Publication date: 4 July 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.1955

zbMATH Keywords

Riemann zeta functionBell polynomialsEuler gamma functionMittag-Leffler polynomialspotential polynomialsderivative polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Special sequences and polynomials (11B83)

Related Items (3)

Degenerate Mittag-Leffler polynomials ⋮ Asymptotic expansions for the gamma function in terms of hyperbolic functions ⋮ EXPECTATIONS OF FUNCTIONS OF STOCHASTIC TIME WITH APPLICATION TO CREDIT RISK MODELING

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On differences of zeta values
• Functions with derivatives given by polynomials in the function itself or a related function
• Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
• Singularity Analysis of Generating Functions
• Derivatives and Eulerian Numbers
• Bernoulli Numbers and Solitons — Revisited
• Derivative Polynomials for Tangent and Secant
• Derivative Polynomials for tanh, tan, sech and sec in Explicit Form

This page was built for publication: On some expansions for the Euler gamma function and the Riemann zeta function