Geodesic
Further Generalization of Kobayashi's Gamma Function
Serdica Mathematical Journal, Tome 27 (2001) no. 4, pp. 303-316.

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In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c; z)
Keywords: Gamma Function, Kobayashi’s Gamma Function, Hypergeometric Functions, Asymptotic Formulas 
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     author = {Galue, L. and Alobaidi, G. and Kalla, S.},
     title = {Further {Generalization} of {Kobayashi's} {Gamma} {Function}},
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Galue, L.; Alobaidi, G.; Kalla, S. Further Generalization of Kobayashi's Gamma Function. Serdica Mathematical Journal, Tome 27 (2001) no. 4, pp. 303-316. http://geodesic.mathdoc.fr/item/SMJ2_2001_27_4_a3/