Evaluation of the modified Bessel function of the third kind of imaginary orders
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In this article, the evaluation of the modified Bessel function of the third kind of purely imaginary order Kia(x) is discussed; also, analogous results for the derivative are presented.About:
This article is published in Journal of Computational Physics.The article was published on 2002-01-20 and is currently open access. It has received 31 citations till now. The article focuses on the topics: Bessel polynomials & Bessel function.read more
Citations
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Anti-de Sitter universe dynamics in loop quantum cosmology
TL;DR: In this article, a model for a flat isotropic universe with a negative cosmological constant A and a massless scalar field as sole matter content is studied within the framework of loop quantum cosmology.
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New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
TL;DR: In this article, an analogous version of Hermite-Hadamard-Mercer's inequality has been established using the Katugampola fractional integral operators and it is shown that under given conditions the derived integral inequalities, describing some kind of transfer processes, allow an exact solution, expressed by Bessel's functions, q-digamma function and special bivariate formula.
Computational Aspects of Maass Waveforms
TL;DR: In this article, the authors considered a number of different cases: congruence subgroups of the modular group and Dirichlet characters (chapter 1), congruences of subgroups and characters of Dirichlets (chapter 2), and congruense of subgroup characters of modular groups (chapter 3).
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Bounds and algorithms for the K-Bessel function of imaginary order
TL;DR: Using the paths of steepest descent, this work proves precise bounds with numerical implied constants for the modified Bessel function ${K}_{ir} (x)$ of imaginary order and its first two derivatives with respect to the order.
References
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Handbook of Mathematical Functions
Book
Numerical Recipes in FORTRAN
TL;DR: The Diskette v 2.04, 3.5'' (720k) for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08.
Reference BookDOI
Asymptotics and Special Functions
TL;DR: A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool as discussed by the authors, and it can be found in many libraries.