Results 31 to 40 of about 137,723 (315)

Analytical Calculations of the Quantum Tsallis Thermodynamic Variables

Physics, 2022
In this paper, we provide an account of analytical results related to the Tsallis thermodynamics that have been the subject matter of a lot of studies in the field of high-energy collisions.
Ayman Hussein, Trambak Bhattacharyya
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Two New Integral Transforms and Their Applications [PDF]

, 1972
This thesis is in two parts. In Part I the independent variable θ in the trigonometric form of Legendre's equation is extended to the range ( -∞, ∞).
Newhall, X X (Nicholas)
core   +1 more source

Green's function for the lossy wave equation

Revista Brasileira de Ensino de Física
Using an integral representation for the first kind Hankel (Hankel-Bessel Integral Representation) function we obtain the so-called Basset formula, an integral representation for the second kind modified Bessel function.
R. Aleixo, E. Capelas de Oliveira
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Integral Representation of a Series Which One Includes the Mathieu A-Series

, 2004
Integral expression is deduced for the series S(r,μ,ν,a)=∑n=1∞2F1ν−μ+12,ν−μ2+1;ν+1;−r2a(n)2a(n)ν−μ+1(a(n)2+r2)μ−1/2, where r>0, μ>1/2, ν ...
Pogány, Tibor K
core   +1 more source

A Look at Generalized Trigonometric Functions as Functions of Their Two Parameters and Further New Properties

Mathematics
Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade.
Dmitrii Karp, Elena Prilepkina
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Euler Sums and Integral Connections

Mathematics, 2019
In this paper, we present some Euler-like sums involving partial sums of the harmonic and odd harmonic series. First, we give a brief historical account of Euler’s work on the subject followed by notations used in the body of the paper.
Anthony Sofo, Amrik Singh Nimbran
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On New Matrix Version Extension of the Incomplete Wright Hypergeometric Functions and Their Fractional Calculus

Mathematics, 2022
Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using the extended incomplete Pochhammer matrix symbol.
Ahmed Bakhet, Abd-Allah Hyder, Areej A. Almoneef, Mohamed Niyaz, Ahmed H. Soliman   +4 more
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Integral Representations over Finite Limits for Quantum Amplitudes

Axioms
We extend previous research to derive three additional M-1-dimensional integral representations over the interval [0,1]. The prior version covered the interval [0,∞]. This extension applies to products of M Slater orbitals, since they (and wave functions
Jack C. Straton
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A construction of analog of Fredgolm theorems for one class of first order model integro-differential equation with logarithmic singularity in the kernel

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The integral representations of the solution manifold for one class of the first order model integro-differential equation with logarithmic singularity in the kernel are constructed using arbitrary constants. The cases when the given integro-differential
Sarvar K Zaripov
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On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation

Mathematics, 2017
In this paper, some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation are deduced.
Yuri Luchko
doaj   +1 more source