Gamma functionpolygamma functionp-analogueconvexitymonotonicityinequalityIn this work, we introduce a new generalized Gamma function, which is named as p-v-Gammafunction and provide some properties generalizing those satisfied by the classical Gammafunction. We also give some convexity and monotonicity ...
In this lecture we define the Gamma function, we present and prove some of its properties, and we discuss how to calculate its values. Introduction and motivationRecall that, if , its factorial isso that satisfies the following recursion: ...
The correlation properties of gamma and other non-Gaussian processes generated by memoryless nonlinear transformation The autocorrelation function (ACF) of a non-Gaussian random process, obtained by the memoryless nonlinear transformation of a Gaussian process with a known......
We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some...
Recent work of Berry & Howls, which reformulated the method of steepest descents, is exploited to derive a new representation for the gamma function. It is shown how this representation can be used to derive a number of properties of the asymptotic expansion of the gamma function, including ex...
Using functional properties of the Hurwitz zeta function and symbolic derivatives of the trigonometric functions, the function ζ(2 n + 1, p/ q) is express... VS Adamchik - 《Applied Mathematics & Computation》 被引量: 36发表: 2007年 A theorem for the closed-form evaluation of the first ...
Some inequalities for q-gamma function 来自 Citeseer 喜欢 0 阅读量: 49 作者: T Mansour 摘要: Recently, Shabani [4, Theorem 2.4] established some inequalities involving the gamma function. In this paper we present the q-analogues of these inequalities involving the q-gamma function. Key ...
sphere of radius r is proportional to the radius raised to the dimension D: D 2 (26) ΓWD 2X π where Γ is the gamma function =-=[63, 4, ... MG Kendall - Charles Griffin ; 被引量: 233发表: 1961年 Determinants of Laplacians and Multiple Gamma Functions In this paper we generali...
The function sin x is very important in mathematics and has many applications. In addition to its series expansion, it can also be written as an infinite product. The infinite product of sin x can be used to prove certain values of ζ(s), such as ζ(2) and ζ(4). The gamma functio...
We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some...