Some infinite series and functional relations that arose in the context of fractional calculus

DOI10.1006/jmaa.2000.7079zbMath0979.33010OpenAlexW2082275695MaRDI QIDQ1840806

Kung-Yu Chen, Hari M. Srivastava

Publication date: 21 February 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7079

zbMATH Keywords

\(H\)-functionsdigamma functionsseries relations

Mathematics Subject Classification ID

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

Related Items (2)

Some classes of infinite series associated with the Riemann zeta and polygamma functions and generalized harmonic numbers. ⋮ Existence of positive solution for some class of nonlinear fractional differential equations

Cites Work

• A series relation by means of certain fractional calculus operators
• A new family of functional series relations involving digamma functions
• A certain family of infinite series associated with digamma functions
• A certain class of infinite sums associated with Digamma functions
• A simplified overview of certain relations among infinite series that arose in the context of fractional calculus
• Fractional calculus and the sums of certain families of infinite series
• The G and H Functions as Symmetrical Fourier Kernels
• Fractional Calculus and Its Applications Involving Certain Classes of Functional Relations
• A Simple Algorithm for the Evaluation of a Class of Generalized Hypergeometric Series
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