Results 21 to 30 of about 489 (98)
Infinite Matrix Products and the Representation of the Matrix Gamma Function
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass. A limit representation of the matrix gamma function is also provided.
J.-C. Cortés +4 more
wiley +1 more source
Calculation of Massless Feynman Integrals using Harmonic Sums [PDF]
, 2006 A method for the evaluation of the epsilon expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums. Algorithms for the
Bekavac, Stefan
core +1 more source
Synthetic Aperture Radar Image Background Clutter Fitting Using SKS + MoM‐Based G0 Distribution
Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015 G0 distribution can accurately model various background clutters in the single‐look and multilook synthetic aperture radar (SAR) images and is one of the most important statistic models in the field of SAR image clutter modeling. However, the parameter estimation of G0 distribution is difficult, which greatly limits the application of the distribution.
Zhengwei Zhu +3 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of number theory, elementary particle physics, and theoretical physics.
Junesang Choi, S. D. Purohit
wiley +1 more source
Advanced Information SystemsThe goal of the work. Development of an EXCEL-oriented calculator for finding the values of special functions of mathematical and theoretical physics. Research subject: special functions of mathematical and theoretical physics. Research method: numerical
Svitlana Gadetska +4 more
semanticscholar +1 more source
Euler Type Integrals and Integrals in Terms of Extended Beta Function
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials.
Subuhi Khan +2 more
wiley +1 more source
Certain Inequalities Involving the $q$-Deformed Gamma Function
, 2014 This paper is inspired by the work of J. S\'{a}ndor in 2006. In the paper, the authors establish some double inequalities involving the ratio $ \frac{\Gamma_{q}(x+1)}{ \Gamma_{q} \left( x+\frac{1}{2}\right)}$, where $\Gamma_{q}(x)$ is the $q$-deformation
Nantomah, Kwara, Prempeh, Edward
core +2 more sources
A Class of Logarithmically Completely Monotonic Functions and Their Applications
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We study the recent investigations on a class of functions which are logarithmically completely monotonic. Two open problems are also presented.
Senlin Guo, Qiu-Ming Luo
wiley +1 more source
Some completely monotonic functions involving the polygamma functions [PDF]
, 2010 Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.Comment: 6 ...
Gao, Peng
core
One method for proving inequalities by computer
, 2006 In this article we consider a method for proving a class of analytical inequalities via minimax rational approximations. All numerical calculations in this paper are given by Maple computer program.Comment: Accepted in Journal of Inequalities and ...
Malesevic, Branko J.
core +7 more sources