A certain family of infinite series associated with digamma functions

DOI10.1016/0022-247X(91)90200-JzbMath0726.33002MaRDI QIDQ802811

Bader N. Al-Saqabi, Hari M. Srivastava, Shyam L. Kalla

Publication date: 1991

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

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Fractional calculus operators and their applications involving power functions and summation of series, A certain class of infinite sums associated with Digamma functions, Error Bounds of Conjugate of a Periodic Signal by Almost Generalized N\"orlund Means, Poisson equation and discrete one-sided Hilbert transform for \((C, \alpha)\)-bounded operators, Analytic computation of digamma function using some new identities, A new family of functional series relations involving digamma functions, Operators of fractional integration and their applications, Series representations for some mathematical constants, Moments in Pearson's four-step uniform random walk problem and other applications of very well-poised generalized hypergeometric series, 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

• Some remarks on uniform asymptotic expansions for Bessel functions
• The special functions and their approximations. Vol. I, II
• Some Summation Formulas for the Series 3 F 2 (1)
• A Simple Algorithm for the Evaluation of a Class of Generalized Hypergeometric Series
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