scholarly journals New Improved Inequalities Associated with Ratios of Gamma Functions

2021 ◽  
Vol 2021 ◽  
pp. 1-4
Author(s):  
Jenica Cringanu
Keyword(s):  
Gamma Functions

In this paper, we improve the estimate for the products ∏ k = 1 n 4 k − 3 / 4 k and ∏ k = 1 n 4 k − 1 / 4 k , obtained by Cringanu “inequalities associated with ratios of 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 Modified Elliptic Gamma Functions and 6d Superconformal Indices

2013 ◽  
Vol 104 (4) ◽  
pp. 397-414 ◽  
Author(s):  
Vyacheslav P. Spiridonov
Keyword(s):  
Gamma Functions

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 On the complete monotonicity of quotient of gamma functions

2012 ◽  
pp. 395-402 ◽  
Author(s):  
Yi-Chao Chen ◽  
Toufik Mansour ◽  
Qian Zou
Keyword(s):  
Complete Monotonicity ◽  
Gamma Functions

scholarly journals Transcendence, automata theory and gamma functions for polynomial rings

2002 ◽  
Vol 101 (1) ◽  
pp. 39-51 ◽  
Author(s):  
Zhi-Ying Wen ◽  
Jia-Yan Yao
Keyword(s):  
Automata Theory ◽  
Polynomial Rings ◽  
Gamma Functions

scholarly journals On the Multiple Gamma-Functions

1998 ◽  
Vol 21 (1) ◽  
pp. 159-182 ◽  
Author(s):  
Koji KATAYAMA ◽  
Makoto OHTSUKI
Keyword(s):  
Gamma Functions

scholarly journals COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE DIVIDED DIFFERENCE OF PSI FUNCTIONS

2013 ◽  
Vol 88 (2) ◽  
pp. 309-319 ◽  
Author(s):  
FENG QI ◽  
PIETRO CERONE ◽  
SEVER S. DRAGOMIR
Keyword(s):  
Divided Difference ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Complete Monotonicity ◽  
Divided Differences ◽  
Psi Function ◽  
Gamma Functions ◽  
Completely Monotonic ◽  
Polygamma Functions ◽  
Necessary And Sufficient

AbstractNecessary and sufficient conditions are presented for a function involving the divided difference of the psi function to be completely monotonic and for a function involving the ratio of two gamma functions to be logarithmically completely monotonic. From these, some double inequalities are derived for bounding polygamma functions, divided differences of polygamma functions, and the ratio of two gamma functions.

Sign in / Sign up

Export Citation Format

Share Document