Results 21 to 30 of about 12,298,354 (363)

Prediction of Fatigue Cracks Using Gamma Function

open access: yesFatigue of Aircraft Structures, 2023
In the present study it has been endeavored to estimate the fatigue crack propagation in V-notch Charpy specimens of 2024 T351 Al-alloy. For this purpose, a new application of fatigue crack growth (FCG) is developed based on the “Gamma function ...
Moussouni Abdelfetah   +2 more
doaj   +1 more source

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

open access: yesFractal 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

Degenerate Laplace transform and degenerate gamma function [PDF]

open access: yes, 2017
In this paper, we introduce the degenerate Laplace transform and degenerate gamma function and investigate some of their properties. From our investigation, we derive some interesting formulas related to the degenerate Laplace transform and degenerate ...
Taekyun Kim, Dae San Kim
semanticscholar   +1 more source

New Applications of the Bernardi Integral Operator

open access: yesMathematics, 2020
Let A ( p , n ) be the class of f ( z ) which are analytic p-valent functions in the closed unit disk U ¯ = z ∈ C : z ≤ 1 . The expression B − m − λ f ( z ) is defined by using fractional integrals of order λ
Shigeyoshi Owa, H. Özlem Güney
doaj   +1 more source

An Extension of Beta Function by Using Wiman’s Function

open access: yesAxioms, 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

Monotonicity and inequalities involving the incomplete gamma function

open access: yesJournal of Inequalities and Applications, 2016
In the article, we deal with the monotonicity of the function x → [ ( x p + a ) 1 / p − x ] / I p ( x ) $x\rightarrow[ (x^{p}+a )^{1/p}-x]/I_{p}(x)$ on the interval ( 0 , ∞ ) $(0, \infty)$ for p > 1 $p>1$ and a > 0 $a>0$ , and present the necessary and ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
doaj   +1 more source

Monotonicity of the incomplete gamma function with applications

open access: yesJournal of Inequalities and Applications, 2016
In the article, we discuss the monotonicity properties of the function x → ( 1 − e − a x p ) 1 / p / ∫ 0 x e − t p d t $x\rightarrow (1-e^{-ax^{p}} )^{1/p}/\int_{0}^{x}e^{-t^{p}}\,dt$ for a , p > 0 $a, p>0$ with p ≠ 1 $p\neq1$ on ( 0 , ∞ ) $(0, \infty ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
doaj   +1 more source

On the Multivariate Gamma-Gamma ($\Gamma \Gamma$) Distribution with Arbitrary Correlation and Applications in Wireless Communications [PDF]

open access: yes, 2015
The statistical properties of the multivariate Gamma-Gamma ($\Gamma \Gamma$) distribution with arbitrary correlation have remained unknown. In this paper, we provide analytical expressions for the joint probability density function (PDF), cumulative ...
Dai, Linglong   +3 more
core   +2 more sources

Artin formalism for Selberg zeta functions of co-finite Kleinian groups [PDF]

open access: yes, 2008
Let $\Gamma\backslash\mathbb H^3$ be a finite-volume quotient of the upper-half space, where $\Gamma\subset {\rm SL}(2,\mathbb C)$ is a discrete subgroup.
Brenner, Eliot, Spinu, Florin
core   +2 more sources

A Ces\`aro Average of Goldbach numbers [PDF]

open access: yes, 2012
Let $\Lambda$ be the von Mangoldt function and $(r_G(n) = \sum_{m_1 + m_2 = n} \Lambda(m_1) \Lambda(m_2))$ be the counting function for the Goldbach numbers. Let $N \geq 2$ be an integer.
Languasco, Alessandro   +1 more
core   +1 more source

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