Results 11 to 20 of about 10,247 (97)
Generalized Bivariate Kummer-Beta Distribution
Ingeniería y Ciencia, 2020 A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and ...
Daya K. Nagar +2 more
doaj +1 more source
Regularized Integral Representations of the Reciprocal Gamma Function
Fractal and Fractional, 2019 This paper establishes a real integral representation of the reciprocal Gamma function in terms of a regularized hypersingular integral along the real line. A regularized complex representation along the Hankel path is derived.
Dimiter Prodanov
doaj +1 more source
Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj +1 more source
Taylor’s power law for the
Modern Stochastics: Theory and Applications, 2019 Taylor’s power law states that the variance function decays as a power law. It is observed for population densities of species in ecology. For random networks another power law, that is, the power law degree distribution is widely studied.
István Fazekas +2 more
doaj +1 more source
Integral Representations of a Generalized Linear Hermite Functional
Mathematics, 2023 In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
Roberto S. Costas-Santos
doaj +1 more source
An Extension of Beta Function by Using Wiman’s Function
Axioms, 2021 The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman.
Rahul Goyal +3 more
doaj +1 more source
Fractal and Fractional, 2021 The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan +2 more
doaj +1 more source
Bounds for triple gamma functions and their ratios
Journal of Inequalities and Applications, 2016 In this work, in addition to the bounds for triple gamma function, bounds for the ratios of triple gamma functions are obtained. Similar bounds for the ratios of the double gamma functions are also obtained.
Sourav Das, A Swaminathan
doaj +1 more source
Journal of Inequalities and Applications, 2016 In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function
Zhen-Hang Yang, Yu-Ming Chu
doaj +1 more source
Nonlinear Engineering, 2014 The aim of the present paper is to present analytical solution of fractional differential equations. The fractional derivative is considered in Caputo sense. The results are derived by the application of Sumudu transform in term of Mittag-Leffler
Choudhary Anupama +2 more
doaj +1 more source