Results 1 to 10 of about 528 (51)
Pochhammer symbol with negative indices. A new rule for the method of brackets
Open Mathematics, 2016 The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
Gonzalez Ivan, Jiu Lin, Moll Victor H
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Integral transforms involving a generalized k-Bessel function
Demonstratio Mathematica, 2023 The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Euler ...
Khammash Ghazi S. +4 more
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On some geometric results for generalized k-Bessel functions
Demonstratio Mathematica, 2023 The main aim of this article is to present some novel geometric properties for three distinct normalizations of the generalized kk-Bessel functions, such as the radii of uniform convexity and of α\alpha -convexity.
Toklu Evrim
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An extension of the method of brackets. Part 2
Open Mathematics, 2020 The method of brackets, developed in the context of evaluation of integrals coming from Feynman diagrams, is a procedure to evaluate definite integrals over the half-line. This method consists of a small number of operational rules devoted to convert the
Gonzalez Ivan, Jiu Lin, Moll Victor H.
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Accurate analytic approximations to eigenvalues anharmonic potentials x2+λx8
Results in Physics, 2020 Precise analytic approximations have been found for the eigenvalues of the ground state in the anharmonic potentials x2+λx8. Rational functions combined with fractional powers are used to determine the new approximations.
Pablo Martin +2 more
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Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions
Journal of Kufa for Mathematics and Computer, 2018 We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
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Asymptotics of a ${}_3F_2$ polynomial associated with the Catalan-Larcombe-French sequence [PDF]
, 2006 The large $n$ behaviour of the hypergeometric polynomial $$\FFF{-n}{\sfrac12}{\sfrac12}{\sfrac12-n}{\sfrac12-n}{-1}$$ is considered by using integral representations of this polynomial.
Temme, Nico M.
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Arab Journal of Mathematical Sciences, 2014 This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive certain generating relations involving 2-indices 5-variables 5-parameters Tricomi functions (2I5V5PTF) by using a Lie-algebraic method ...
Nader Ali Makboul Hassan
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Precise analytic approximations for the Bessel function J1(x)
Results in Physics, 2018 Precise and straightforward analytic approximations for the Bessel function J1(x) have been found. Power series and asymptotic expansions have been used to determine the parameters of the approximation, which is as a bridge between both expansions, and ...
Fernando Maass, Pablo Martin
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Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation [PDF]
, 2012 MSC 2010: 35J05, 33C10 ...
Alexandrovich, I. +2 more
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