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Exact ODE Framework for Classical and Quantum Corrections for the Lennard-Jones Second Virial Coefficient [PDF]

Entropy
The second virial coefficient (SVC) of the Lennard-Jones fluid is a cornerstone of molecular theory, yet its calculation has traditionally relied on the complex integration of the pair potential. This work introduces a fundamentally different approach by
Zhe Zhao, Alfredo González-Calderón, Jorge Adrián Perera-Burgos, Antonio Estrada, Horacio Hernández-Anguiano, Celia Martínez-Lázaro, Yanmei Li   +6 more
doaj   +2 more sources

The Integral Mittag-Leffler, Whittaker and Wright Functions

Mathematics, 2021
Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form.
Alexander Apelblat, Juan Luis González-Santander   +1 more
doaj   +1 more source

Calculation of special functions arising in the problem of diffraction by a dielectric ball

Discrete and Continuous Models and Applied Computational Science, 2021
To apply the incomplete Galerkin method to the problem of the scattering of electromagnetic waves by lenses, it is necessary to study the differential equations for the field amplitudes. These equations belong to the class of linear ordinary differential
Ksaverii Yu. Malyshev
doaj   +1 more source

A continuum description of the buckling of a line of spheres in a transverse harmonic confining potential

Royal Society Open Science, 2023
A line of contacting hard spheres, placed in a transverse confining potential, buckles under compression or when tilted away from the horizontal, once a critical tilt angle is exceeded.
S. Hutzler, J. Ryan-Purcell, A. Mughal, D. Weaire   +3 more
doaj   +1 more source

Results Concerning the Analysis of Multi-Index Whittaker Function

Journal of Mathematics, 2022
A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan, Saddam Husain, Talha Usman, Serkan Araci   +3 more
doaj   +1 more source

Infinite Series and Logarithmic Integrals Associated to Differentiation with Respect to Parameters of the Whittaker W_κ,μ(x) Function II

Axioms, 2023
In the first part of this investigation, we considered the parameter differentiation of the Whittaker function Mκ,μx. In this second part, first derivatives with respect to the parameters of the Whittaker function Wκ,μx are calculated.
Alexander Apelblat, Juan Luis González-Santander   +1 more
doaj   +1 more source

Some results on generalized Euler-type integrals related to the four parameters Mittag-Leffler function

Journal of New Results in Science, 2021
Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
doaj   +1 more source

Infinite Series and Logarithmic Integrals Associated to Differentiation with Respect to Parameters of the Whittaker M_κ,μ(x) Function I

Axioms, 2023
In this paper, first derivatives of the Whittaker function Mκ,μx are calculated with respect to the parameters. Using the confluent hypergeometric function, these derivarives can be expressed as infinite sums of quotients of the digamma and gamma ...
Alexander Apelblat, Juan Luis González-Santander   +1 more
doaj   +1 more source

The Problem of Aliasing and Folding Effects in Spectrum of Sampled Signals in View of Information Theory [PDF]

International Journal of Electronics and Telecommunications, 2022
In this paper, the problem of aliasing and folding effects in spectrum of sampled signals in view of Information Theory is discussed. To this end, the information content of deterministic continuous time signals, which are continuous functions, is ...
Andrzej Borys
doaj   +1 more source

Unified Theory of Zeta-Functions Allied to Epstein Zeta-Functions and Associated with Maass Forms

Mathematics, 2023
In this paper, we shall establish a hierarchy of functional equations (as a G-function hierarchy) by unifying zeta-functions that satisfy the Hecke functional equation and those corresponding to Maass forms in the framework of the ramified functional ...
Nianliang Wang, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
doaj   +1 more source