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The indefinite refined neutrosophic integrals by parts [PDF]

open access: yesNeutrosophic Sets and Systems
this article's goal is to present the indefinite refined neutrosophic integrals by parts. All situations where integration by parts can be used are covered, including the use of rotating integrals to solve recurring and non-terminating functions like the
Yaser Ahmad Alhasan   +3 more
doaj   +1 more source

The Modified Exponential Function Method for Beta Time Fractional Biswas-Arshed Equation

open access: yesAdvances in Mathematical Physics, 2023
In this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it represents the pulse propagation in an optical fiber, nuclear, and particle physics, are obtained ...
Yusuf Pandir   +3 more
doaj   +1 more source

On derivations with respect to finite sets of smooth functions

open access: yes, 2017
The purpose of this paper is to show that functions that derivate the two-variable product function and one of the exponential, trigonometric or hyperbolic functions are also standard derivations. The more general problem considered is to describe finite
Grünwald, Richárd, Páles, Zsolt
core   +1 more source

Extremal functions in de Branges and Euclidean spaces [PDF]

open access: yes, 2014
In this work we obtain optimal majorants and minorants of exponential type for a wide class of radial functions on $\mathbb{R}^N$. These extremal functions minimize the $L^1(\mathbb{R}^N, |x|^{2\nu + 2 - N}dx)$-distance to the original function, where ...
Carneiro, Emanuel, Littmann, Friedrich
core   +1 more source

On Some Cauchy Type Mean-Value Theorems with Applications

open access: yesCommunications in Advanced Mathematical Sciences
Some Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
doaj   +1 more source

Square-well solution to the three-body problem [PDF]

open access: yes, 1996
The angular part of the Faddeev equations is solved analytically for s-states for two-body square-well potentials. The results are, still analytically, generalized to arbitrary short-range potentials for both small and large distances.
Fedorov, D. V.   +2 more
core   +2 more sources

On the construction of the elementary trigonometric functions

open access: yesPure Mathematics and Applications, 2022
The article discusses the construction of the elementary trigonometric functions. It discusses several approaches, but the main message is that to construct the trigonometric functions one needs to follow the same approach as one should use during the ...
P. Medvegyev
semanticscholar   +1 more source

The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

open access: yesJournal of Mathematics, 2017
The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential ...
M. Torvattanabun   +3 more
doaj   +1 more source

Analytic Evaluation of Four-Particle Integrals with Complex Parameters

open access: yes, 2002
The method for analytic evaluation of four-particle integrals, proposed by Fromm and Hill, is generalized to include complex exponential parameters. An original procedure of numerical branch tracking for multiple valued functions is developed.
A.M. Frolov   +18 more
core   +1 more source

Discrete Fourier analysis with lattices on planar domains

open access: yes, 2009
A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
core   +1 more source

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