Some inequalities involving ratios and products of the gamma function
Le Matematiche, 2013 In this paper, we establish some generalized inequalities for the gamma function using the properties of logarithmically convex/concave functions.
Mridula Garg +2 more
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Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications
Universal Journal of Mathematics and ApplicationsFractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir +2 more
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Functional relations involving generalized H-function
Le Matematiche, 1998 A number of papers have appeared in literature in which certain functional relations associated with hypergeometric functions and Digamma function ψ(z) are derived. In order to unify and extend the existing results due to Kalla [7].
R. K. Saxena
doaj
Inequalities involving the gamma and digamma functions
, 2018 We improve the upper bounds of the following inequalities proved in [H. Alzer and N. Batir, Monotonicity properties of the gamma function, Appl. Math. Letters, 20(2007), 778-781]. \begin{equation*} exp\left(-\frac{1}{2}ψ\left(x+\frac{1}{3}\right)\right)
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Construction of the Digamma Function by Derivative Definition
, 2008 The Digamma and Polygamma functions are important tools in mathematical physics, not only for its many properties but also for the applications in statistical mechanics and stellar evolution. In many textbooks is found its develop almost by the same procedure. In this paper expressions for the Digamma and Polygamma functions, in terms of hypergeometric
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New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations [PDF]
, 2007 In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
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Approximations for the Psi (Digamma) Function [PDF]
Mathematics of Computation, 1967 openaire +1 more source
Computation of characteristics of value-of-time distributions and their standard errors [PDF]
It is discussed how from some estimated bivariate distributions characteristics of the distribution of the ratio of the two random variables and standard errors thereof can be computed.
Meijer, Erik
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Wendel-Gautschi-Kershaw's Inequalities and Sufficient and Necessary Conditions that a Class of Functions Involving Ratio of Gamma Functions are Logarithmically Completely Monotonic [PDF]
, 2007 In the article, sufficient and necessary conditions that a class of functions involving ratio of Euler’s gamma functions and originating from Wendel-Gautschi-Kershaw’s double inequalities are logarithmically completely monotonic are presented.
Qi, Feng, Guo, Bai-Ni
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Automatically linking MEDLINE abstracts to the Gene Ontology [PDF]
, 2003 Much has been written recently about the need for effective tools and methods for mining the wealth of information present in biomedical literature (Mack and Hehenberger, 2002; Blagosklonny and Pardee, 2001; Rindflesch et al., 2002)—the activity of ...
Tony C. Smith +3 more
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