scholarly journals The Asymptotic Expansion of the Incomplete Gamma Functions

1979 ◽  
Vol 10 (4) ◽  
pp. 757-766 ◽  
Author(s):  
N. M. Temme
Keyword(s):  
Asymptotic Expansion ◽  
Gamma Functions ◽  
Incomplete Gamma Functions

scholarly journals New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Pshtiwan Othman Mohammed ◽  
Thabet Abdeljawad ◽  
Dumitru Baleanu ◽  
Artion Kashuri ◽  
Faraidun Hamasalh ◽  
...  
Keyword(s):  
Convex Functions ◽  
Special Functions ◽  
Integral Inequalities ◽  
Fractional Operators ◽  
Gamma Functions ◽  
Incomplete Gamma Functions ◽  
Type Integral

AbstractA specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.

scholarly journals Incomplete gamma functions for large values of their variables

2005 ◽  
Vol 34 (3) ◽  
pp. 467-485 ◽  
Author(s):  
Chelo Ferreira ◽  
José L. López ◽  
Ester Pérez Sinusía
Keyword(s):  
Gamma Functions ◽  
Incomplete Gamma Functions

scholarly journals An asymptotic expansion for a ratio of products of gamma functions

2000 ◽  
Vol 24 (8) ◽  
pp. 505-510 ◽  
Author(s):  
Wolfgang Bühring
Keyword(s):  
Asymptotic Expansion ◽  
Gamma Functions

An asymptotic expansion of a ratio of products of gamma functions is derived. It generalizes a formula which was stated by Dingle, first proved by Paris, and recently reconsidered by Olver

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