A certain class of infinite sums associated with Digamma functions

DOI10.1016/S0096-3003(98)10098-XzbMath0933.33002OpenAlexW2016280031MaRDI QIDQ1127825

Tsu-Chen Wu, Shih-Tong Tu, Shinq-Hwa Leu, Hari M. Srivastava

Publication date: 8 September 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10098-x

zbMATH Keywords

infinite sumsDigamma function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

Identities for Reciprocal Binomials ⋮ Ramanujan formula for the generalized Stirling approximation ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ Analytic computation of digamma function using some new identities ⋮ Operators of fractional integration and their applications ⋮ New improvements of the Stirling formula ⋮ Some infinite series and functional relations that arose in the context of fractional calculus ⋮ Commutativity of the Leibniz rules in fractional calculus ⋮ Some classes of infinite series associated with the Riemann zeta and polygamma functions and generalized harmonic numbers.

Cites Work

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• A certain family of infinite series associated with digamma functions
• Fractional calculus and the sums of certain families of infinite series
• A Simple Algorithm for the Evaluation of a Class of Generalized Hypergeometric Series