On fractional integration formulae for Aleph functions (CROSBI ID 170786)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Saxena, Ram Kishore ; Poganj, Tibor
engleski
On fractional integration formulae for Aleph functions
This paper is devoted to the study of a new special function, which is called, according to the symbol used to represent this function, as an Aleph function. This function is an extension of the I–function, which itself is a generalization of the well–known and familiar G and H–functions in one variable. In this paper, a notation and complete definition of the Aleph function will be presented. Fractional integration of the Aleph functions, in which the argument of the Aleph function contains a factor $t^λ(1-t)^μ, λ, μ>0$, will be investigated. The results derived are of most general character and include many results given earlier by various authors including Kilbas [10], Kilbas and Saigo [11] and Galué [6] and others. The results obtained form the key formulæ for the results on various potentially useful special functions of physical and biological sciences and technology available in the literature.
H–function; I–function; Aleph–function; Mellin–Barnes type integrals; Riemann–Liouville fractional integral; Mittag–Leffler functions
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
218 (3)
2011.
985-990
objavljeno
0096-3003
10.1016/j.amc.2011.03.026