On Volterra functions and Ramanujan integrals

DOI10.1515/ANLY-2015-5009zbMath1342.45001arXiv1610.01491OpenAlexW2343183482MaRDI QIDQ285616

Roberto Garrappa, Francesco Mainardi

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1610.01491

zbMATH Keywords

Laplace transformasymptotic expansionlogarithmic kernelintegral equations of convolution typeRamanujan integralsVolterra functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Other functions defined by series and integrals (33E20) Volterra integral equations (45D05) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Integral equations with kernels of Cauchy type (45E05) Numerical approximation and evaluation of special functions (33F05)

Related Items (9)

On the Volterra \(\mu\)-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators ⋮ On the inverse gamma subordinator ⋮ Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: analytical and computational consideration ⋮ Volterra-Prabhakar function of distributed order and some applications ⋮ Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations ⋮ Generalized Volterra functions, its integral representations and applications to the Mathieu-type series ⋮ Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions ⋮ Series representations of the Volterra function and the Fransén-Robinson constant ⋮ The action of Volterra integral operators with highly singular kernels on Hölder continuous, Lebesgue and Sobolev functions

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• Time-fractional derivatives in relaxation processes: a tutorial survey
• Some Integrals of Ramanujan and Related Contour Integrals
• Energy Spectrum Resulting from Electron Slowing Down

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