On the Lanczos limit formula

DOI10.1080/10652460802149787zbMath1160.30011OpenAlexW1975478865MaRDI QIDQ3544284

Alexey Kuznetsov

Publication date: 5 December 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802149787

zbMATH Keywords

Mellin transformEuler-Maclaurin summationGamma and Riemann zeta functionLanczos limit formula

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Approximation in the complex plane (30E10) Zeta and (L)-functions: analytic theory (11M99) Representations of entire functions of one complex variable by series and integrals (30D10) Analytic continuation of functions of one complex variable (30B40)

Cites Work

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• The Riemann Hypothesis, simple zeros and the asymptotic convergence degree of improper Riemann sums
• A Precision Approximation of the Gamma Function

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