The generalized Stieltjes transform and its inverse

DOI10.1063/1.1825077zbMath1076.44003arXivmath-ph/0405050OpenAlexW2040863440MaRDI QIDQ3024190

John H. Schwarz

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0405050

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (11)

Stieltjes and other integral representations for functions of LambertW ⋮ A Simple Stochastic Rate Model for Rate Equity Hybrid Products ⋮ Specification of the Base Measure of Nonparametric Priors via Random Means ⋮ Distributions of linear functionals of two parameter Poisson-Dirichlet random measures ⋮ Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders ⋮ Distributional properties of means of random probability measures ⋮ Finite-part integration in the presence of competing singularities: Transformation equations for the hypergeometric functions arising from finite-part integration ⋮ Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis ⋮ Generalized Stieltjes functions and their exact order ⋮ Unnamed Item ⋮ Weak self-similarity of the Mittag–Leffler relaxation function

Cites Work

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• Darstellung der Schwartzschen Distributionen durch analytische Funktionen
• Asymptotic Expansions of Generalized Stieltjes Transforms of Algebraically Decaying Functions

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