Further results on a generalized gamma function occurring in diffraction theory
Titel:
Further results on a generalized gamma function occurring in diffraction theory
Auteur:
Al-Musallam, F. Kalla, S. L.
Verschenen in:
Integral transforms and special functions
Paginering:
Jaargang 7 (1998) nr. 3-4 pagina's 175-190
Jaar:
1998-10
Inhoud:
Recently, Kobayashi (Jour. Phy. Soc. Japan 60(1991), 1501-1512) has considered a generalized Gamma function, Гm(u,υ), occurring in Diffraction Theory. This article considers a more general function involving Gauss hypergeometric function F(a,b;c,z), [image omitted] that reduces to the generalized Gamma function when p = 1 and b = c. Several properties for the function D; including analytic continuation, recurrence formulae and computation for special values of the parameters, are given. Moreover, some new properties of the function Гm(u,υ) are established.
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