Results 31 to 40 of about 6,388 (244)

A New Expression for the Coulomb Potential Corresponding to the Product of Two Exponential Functions Based on the Properties of the Integral Representations of the Bessel Functions

open access: yesTrends in Computational and Applied Mathematics, 2023
The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo   +4 more
doaj   +1 more source

Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions

open access: yes, 2016
In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, Kıymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions. Applied Mathematics and Computation, 2014, 226 : 484-491] is defined. Several
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
openaire   +3 more sources

Inequalities for the modified k-Bessel function

open access: yesInternational Journal of Analysis and Applications, 2017
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the m-Bessel functions. The log-convexity with respect to the order of the k-Bessel also given.
Saiful Rahman Mondal   +1 more
openaire   +4 more sources

Laplace Transform Methods for Bessel and Modified Bessel Equations: Theory and Applications

open access: yesAxioms
This paper revisits the use of the Laplace transform in the study of Bessel and modified Bessel differential equations. Rather than presenting the method as a new alternative to the classical Frobenius approach, the paper is organized as a pedagogical ...
Osman Yürekli
doaj   +1 more source

On the zeros of the Macdonald functions [PDF]

open access: yesOpuscula Mathematica, 2019
We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros ...
Yuji Hamana   +2 more
doaj   +1 more source

Products of Bessel and modified Bessel functions

open access: yes, 2016
37 pages, 1 ...
Baricz, Árpád   +2 more
openaire   +2 more sources

Van der Corput inequalities for Bessel functions [PDF]

open access: yes, 2014
In this note, we offer some log-concavity properties of certain functions related to Bessel functions of the first kind and modified Bessel functions of the first and second kinds, by solving partially a recent conjecture on the log-convexity/log ...
Baricz, Árpád   +2 more
core   +1 more source

Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions

open access: yesMathematics, 2023
The class of natural exponential families (NEFs) of distributions having power variance functions (NEF-PVFs) is huge (uncountable), with enormous applications in various fields.
Shaul K. Bar-Lev   +4 more
doaj   +1 more source

Some integral properties in the theory of generalized $k-$Bessel matrix functions

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences
The main purpose of this article is to define some original properties in the theory of the generalized modified $k-$Bessel matrix functions. These special functions, defined in terms of Wright matrix functions, are generalized and their properties ...
Carlo Cattani   +2 more
doaj   +1 more source

The logarithmic concavity of modified Bessel functions of the first kind and its related functions

open access: yesAdvances in Difference Equations, 2019
This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties.
Thanit Nanthanasub   +2 more
doaj   +1 more source

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