Some Mathieu-type series for the I-function occuring in the Fokker-Planck equation (CROSBI ID 172043)
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Poganj, Tibor ; Saxena, Ram Kishore
engleski
Some Mathieu-type series for the I-function occuring in the Fokker-Planck equation
Closed form expressions are obtained for a family of convergent Mathieu type a-series and its alternating variants, whose terms contain an I-function which is a generalization of the Fox's H-function. 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 functions by Pog\'any and Srivastava and for {; ; ; ; ; ; }; ; ; ; ; ; _pF_q and Meijer's G-function by Pog\'any and Tomovski and others.
Mathieu type series ; I-function ; H-function ; Mittagg-Leffler function ; Integral represetation
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