Results 31 to 40 of about 6,388 (244)
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
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
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
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]
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
37 pages, 1 ...
Baricz, Árpád +2 more
openaire +2 more sources
Van der Corput inequalities for Bessel functions [PDF]
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
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
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
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

