Extended Mellin integral representations for the absolute value of the gamma function

DOI10.1515/anly-2017-0046zbMath1387.30056OpenAlexW2803725765MaRDI QIDQ1743330

Nicolas Privault

Publication date: 13 April 2018

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/10356/89152

zbMATH Keywords

gamma functionmodified Bessel functionsMellin integral representation

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• On a remarkable formula of Ramanujan
• THE DOTHAN PRICING MODEL REVISITED
• A class of polynomials and discrete transformations associated with the Kontorovich–Lebedev operators
• Exponential functionals of Brownian motion and disordered systems
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