A new family of functional series relations involving digamma functions

DOI10.5802/ambp.76zbMath0869.33006OpenAlexW1996499430MaRDI QIDQ677877

R. K. Ladda, Ravinder Krishen Raina

Publication date: 16 April 1997

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1996__3_2_189_0

zbMATH Keywords

H-functiondigamma functionsseries relations

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• A series relation by means of certain fractional calculus operators
• A certain family of infinite series associated with digamma functions
• The G and H Functions as Symmetrical Fourier Kernels
• Serendipity in Mathematics or How One is Led to Discover that ∑ ∞ n = 1 1⋅3⋅5⋯(2n - 1 n2 n n! = ½ + 3 16 + 15144 + ⋯ = ln4
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