Results 31 to 40 of about 4,212,975 (247)

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

Products of Bessel and modified Bessel functions

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

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

Indefinite integrals involving Bessel functions

open access: yes, 1967
Expressions are derived for the indefinite integrals, [equations] where C0(ar)are zero order Bessel functions, Z0(Ar) are zero order modified Bessel functions and f(r) is a polynomial in r.
Peavy, B. A.
core   +1 more source

Complete elliptic integrals resulting from infinite integrals of Bessel functions

open access: yes, 1974
Infinite integrals of Bessel and modified Bessel functions reducible to complete elliptic integrals are compiled.
Okui, Shigehiko
core   +1 more source

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

open access: yesAngewandte 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   +3 more
wiley   +2 more sources

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

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

Integrable operators and squares of Hankel operators. [PDF]

open access: yes, 2008
Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
core   +5 more sources

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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