On Taylor-like integral representations of analytic functions

DOI10.1007/s11139-008-9136-yzbMath1177.30029OpenAlexW2086763120MaRDI QIDQ1039653

Markus Brede

Publication date: 23 November 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-008-9136-y

zbMATH Keywords

gamma functionStirling numbersIntegral analogues of power seriessummation of divergent integrals and sums

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Gamma, beta and polygamma functions (33B15) Representations of entire functions of one complex variable by series and integrals (30D10) Higher logarithm functions (33B30) Exponential and trigonometric functions (33B10)

Cites Work

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• Synchrony-optimized networks of non-identical Kuramoto oscillators
• Extensions of several summation formulae of Ramanujan using the calculus of residues
• Factorial functions and Stirling numbers of fractional orders
• A note on the paper of Miller, Bernstein and Blumenson
• An estimate for the powers of the generating function of the Bernoulli numbers
• Continuous Analogues of Series

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