Some Mathieu-type series for generalized $H$ -function associated with a certain class of Feynman integrals (CROSBI ID 158597)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Poganj, Tibor ; Saxena, Ram Kishore
engleski
Some Mathieu-type series for generalized $H$ -function associated with a certain class of Feynman integrals
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.
Dirichlet series ; H-function ; Fox-Wright Psi-function ; Laplace integral representation for Dirichlet series ; Mathieu a-series ; Mellin-Barnes type integrals
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Podaci o izdanju
21 (10)
2010.
765-770
objavljeno
1065-2469
1476-8291
10.1080/10652461003675703