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MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko   +2 more
doaj   +1 more source

Integral Transforms on a Function Space with Change of Scales Using Multivariate Normal Distributions

open access: yesJournal of Function Spaces, 2016
Using simple formulas for generalized conditional Wiener integrals on a function space which is an analogue of Wiener space, we evaluate two generalized analytic conditional Wiener integrals of a generalized cylinder function which is useful in Feynman ...
Dong Hyun Cho
doaj   +1 more source

The alchemical integral transform revisited

open access: yesThe Journal of Chemical Physics
We recently introduced the Alchemical Integral Transform (AIT), enabling the prediction of energy differences, and guessed an ansatz to parameterize space r in some alchemical change λ. Here, we present a rigorous derivation of AIT’s kernel K and discuss the parameterization r(λ) in n dimensions, i.e., necessary conditions, mathematical freedoms, and ...
Simon León Krug   +1 more
openaire   +3 more sources

Measuring and evaluating the differences of compared images for a correct car silhouette categorization using integral transforms

open access: yesMeasurement Science Review, 2018
The present paper focuses on the analysis of the possibilities of using integral transforms for measuring and evaluating the differences of compared images (car silhouettes) with the purpose of a correct car body categorization.
Pivarčiová Elena   +4 more
doaj   +1 more source

Applications of the integral transforms composition method to wave-type singular differential equations and index shift transmutations

open access: yesElectronic Journal of Differential Equations, 2018
In this article we study applications of integral transforms composition method (ITCM) for obtaining transmutations via integral transforms. It is possible to derive wide range of transmutation operators by this method.
Ahmed Fitouhi   +3 more
doaj  

Definite Integrals using Orthogonality and Integral Transforms

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
doaj   +1 more source

N-Transform - Properties and Applications

open access: yesNUST Journal of Engineering Sciences, 2008
A new integral transform similar to Laplace and Sumudu transforms is introduced. It converges to both transforms just by changing variables. A table is presented for existing Laplace and Sumudu transforms.
Zafar H. Khan, Waqar. A. Khan
doaj   +1 more source

Generalized Fractional Integral Formulas for the k-Bessel Function

open access: yesJournal of Mathematics, 2018
The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function.
D. L. Suthar, Mengesha Ayene
doaj   +1 more source

LOGARITHMIC IMAGE’S CONVEXITY IN THE INTEGRAL TRANSFORMS THEORY

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The method of integral transforms is one of the most important analytical methods of mathematical modeling. Numerical methods and computational algorithms are developed on its basis.
O. E. Yaremko   +2 more
doaj   +1 more source

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