On a generalized three-parameter Wright function of Le Roy type

DOI10.1515/fca-2017-0063zbMath1374.33019arXiv2007.05925OpenAlexW3105833452MaRDI QIDQ1677974

Roberto Garrappa, Francesco Mainardi, Sergei V. Rogosin

Publication date: 14 November 2017

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05925

zbMATH Keywords

Laplace transformsasymptoticsintegral representationspecial functionsMittag-Leffler and wright functions

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Harmonic functions on Riemann surfaces (30F15) Representations of entire functions of one complex variable by series and integrals (30D10) Fractional partial differential equations (35R11)

Related Items (11)

Bell polynomials and generalized Laplace transforms ⋮ Editorial. Fractional calculus: theory and applications ⋮ A note on Hadamard fractional differential equations with varying coefficients and their applications in probability ⋮ Integral form of Le Roy-type hypergeometric function ⋮ Some results on the complete monotonicity of Mittag-Leffler functions of le Roy type ⋮ Prabhakar function of Le Roy type: a set of results in the complex plane ⋮ Multi-parametric Le Roy function ⋮ Turán inequalities and complete monotonicity for a class of entire functions ⋮ Fractional extreme distributions ⋮ On some geometric properties of the Le Roy-type Mittag-Leffler function ⋮ Remark on a Mittag–Leffler function of Le Roy type

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