New summation formulas of Fox-Wright-type series containing the polygamma functions

DOI10.1016/j.apnum.2021.11.014zbMath1484.33020OpenAlexW3215621590WikidataQ113880089 ScholiaQ113880089MaRDI QIDQ2073949

Khaled Mehrez

Publication date: 3 February 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.11.014

zbMATH Keywords

Laplace transformMeijer \(G\)-functionpolygamma functionsFox-Wright function

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Higher logarithm functions (33B30)

Related Items (1)

Existence, uniqueness and matrix-valued fuzzy Mittag-Leffler-hypergeometric-Wright stability for \(\mathfrak{P}\)-Hilfer fractional differential equations in matrix-valued fuzzy Banach space

Uses Software

• DLMF

Cites Work

• Some geometric properties of a class of functions related to the Fox-Wright functions
• Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions
• Some families of infinite series summable by means of fractional calculus
• New integral representations for the Fox-Wright functions and its applications
• Fractional calculus and the sums of certain families of infinite series
• Functional inequalities for the Fox-Wright functions
• New integral representations for the Fox-Wright functions and its applications. II
• New properties for several classes of functions related to the Fox-Wright functions
• The special functions and their approximations. Vol. I, II
• Closed-form summations of certain hypergeometric-type series containing the digamma function
• Summations for certain series containing the digamma function
• Values of the polygamma functions at rational arguments
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