Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders

DOI10.1063/1.5003479zbMath1384.44003arXiv1703.07979OpenAlexW3105622394MaRDI QIDQ4607708

Eric A. Galapon, Christian D. Tica

Publication date: 14 March 2018

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

Full work available at URL: https://arxiv.org/abs/1703.07979

zbMATH Keywords

asymptotic behaviorasymptotic expansionGreen-Kubo formulageneralized Stieltjes transformPeclet numberfinite-part integration

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (4)

Regularized limit, analytic continuation and finite-part integration ⋮ Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders ⋮ Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. II. Non-integer orders ⋮ Finite-part integration in the presence of competing singularities: Transformation equations for the hypergeometric functions arising from finite-part integration

Uses Software

• DLMF

Cites Work

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