Mellin transform methods applied to integral evaluation: Taylor series and asymptotic approximations

DOI10.1063/1.530086zbMath0782.33011OpenAlexW1969631541MaRDI QIDQ4203236

Richard J. Sasiela, John D. Shelton

Publication date: 8 September 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530086

zbMATH Keywords

Mellin transformMeijer \(G\)-functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Other hypergeometric functions and integrals in several variables (33C70) Other functions defined by series and integrals (33E20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (7)

On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform ⋮ Linking animal movement to site fidelity ⋮ Edge plasmon-polaritons on isotropic semi-infinite conducting sheets ⋮ Two-dimensional, highly directive currents on large circular loops ⋮ Electromagnetic fields in air of traveling-wave currents above the earth ⋮ On convergent series representations of Mellin-Barnes integrals ⋮ Nonretarded edge plasmon-polaritons in anisotropic two-dimensional materials

Cites Work

• A method for symbolic evaluation of indefinite integrals containing special functions of their products
• Integrals of three Bessel functions and Legendre functions. I
• A Mellin transform summation technique
• The Fourier–Mellin transform and mammalian hearing

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