Naslov
Some Mathieu-type series for generalized $H$ -function associated with a certain class of Feynman integrals

Autori
Poganj, Tibor ; Saxena, Ram Kishore

Izvornik
Integral transforms and special functions (1065-2469) 21 (2010), 10; 765-770

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Dirichlet series ; H-function ; Fox-Wright Psi-function ; Laplace integral representation for Dirichlet series ; Mathieu a-series ; Mellin-Barnes type integrals

Sažetak
Closed form expressions are invetigated for a family of convergent Mathieu type a-series and its alternating variant, whose terms contain a generalized H-function associated with certain Feynman integrals. The results derived are of general character and provide an elegant generalization for the closed form expressions of these series associated with the H-function by Pog\'any, for Fox-Wright Psi-functions by Pog\'any and Srivastava and for ${; ; ; ; }; ; ; ; _pF_q$ and Meijer's G-function by Pog\'any and Tomovski and others.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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