Results 21 to 30 of about 5,719 (203)

Inequalities for the modified k-Bessel function

International 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, Kottakkaran Sooppy Nisar   +1 more
openaire   +4 more sources

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

, 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

Complete Monotonicity of Modified Bessel Functions [PDF]

Proceedings of the American Mathematical Society, 1990
We prove that if ν > 1
openaire   +1 more source

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

Axioms
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

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

Trends 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, J. E. Pérez, M. L. Tardivo, G. Fraschetti, J. C. Cesco   +4 more
doaj   +1 more source

Products of Bessel and modified Bessel functions

, 2016
37 pages, 1 ...
Baricz, Árpád, Szász, Róbert, Yağmur, Nihat   +2 more
openaire   +2 more sources

On the zeros of the Macdonald functions [PDF]

Opuscula 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, Hiroyuki Matsumoto, Tomoyuki Shirai   +2 more
doaj   +1 more source

Insights into the Degradation Mechanism of Aqueous LiMn2O4–Cathode Interfaces by Computational Vibrational Spectroscopy

Angewandte Chemie, EarlyView.
LiMn2O4${\rm LiMn}_2{\rm O}_4$ is of high interest for sustainable energy storage and conversion. Its mixed‐valence Mn3+${\rm Mn}^{3+}$/Mn4+${\text{Mn}}^{4+}$ structure drives site‐specific behavior at aqueous interfaces, featuring proton‐generating Mn4+${\text{Mn}}^{4+}$ centers and electron‐rich Mn3+${\rm Mn}^{3+}$ sites that render the surrounding ...
K. Nikolas Lausch, Redouan El Haouari, Philipp Schienbein, Jörg Behler   +3 more
wiley   +2 more sources

Inequalities involving Bessel and modified Bessel functions

Journal of Mathematical Analysis and Applications, 1990
The authors define a self-adjoint and compact operator whose eigenvalues are given by \(\pm 2/j_{\nu k}\), where \(j_{\nu k}\) is the kth positive zero of the Bessel function \(J_{\nu}(x)\) of the first kind. Using operator techniques the authors derive some lower and upper bounds for \(J_{\nu +1}(x)/J_{\nu}(x)\) and \(I_{\nu +1}(x)/I_{\nu}(x)\), where
Ifantis, E.K., Siafarikas, P.D.
openaire   +1 more source

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

Journal 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, Ghazi S. Khammash, Ayman Shehata   +2 more
doaj   +1 more source