Laplace's Integral, the Gamma Function, and beyond

DOI10.2307/2695353zbMath1029.44001OpenAlexW4251048280MaRDI QIDQ4417716

Wladimir de Azevedo Pribitkin

Publication date: 29 July 2003

Full work available at URL: https://doi.org/10.2307/2695353

zbMATH Keywords

Laplace transformgamma functionfunctional equationLipschitz summation formulaLaplace's integral

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Integral transforms of special functions (44A20)

Related Items (11)

On the definition of the Euler gamma function ⋮ A Cesàro average for an additive problem with an arbitrary number of prime powers and squares ⋮ Gamma and Factorial in the Monthly ⋮ Automorphic integrals with log-polynomial period functions and arithmetical identities ⋮ Hyperfunctions, formal groups and generalized Lipschitz summation formulas ⋮ UNINHIBITED POINCARÉ SERIES ⋮ Cesàro averages for Goldbach representations with summands in arithmetic progressions ⋮ New Limiting Distributions for Bellman-Harris Processes ⋮ Complete set of eigenfunctions of the quantum Toda chain ⋮ A Cesàro average for an additive problem with prime powers ⋮ Short proof of Rademacher's formula for partitions

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