نتایج جستجو برای: generalized bessel transform

تعداد نتایج: 280841  

2009
F. Brackx N. De Schepper F. Sommen

Abstract. In this paper we devise a new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier-Bessel transform. It appears that in the two-dimensional case, it coincides with the Clifford-Fourier and cylindrical Fourier transforms introduced earlier. We show that this new integral transform satisfies operational formulae which are similar to those of t...

Journal: :journal of physical & theoretical chemistry 2006
m. monajjemi k. zare a.r. zieglari

in this paper we have solved analytically the schrödinger equation for a microscopic particle in a one-dimensional box with two infinite walls, which the potential function inside it, has a linear form. based on the solutions of this special quantum mechanical system, we have shown that as the quantum number approaches infinity the expectation values of microscopic particle position and square ...

Journal: :Hacettepe journal of mathematics and statistics 2021

In the present article, using generalized Bessel-Maitland transform, Laplace transform and other known transforms, authors obtain new Parseval-Goldstein type relations. Using these relations, some integrals involving Fox-Wright functions are evaluated. Illustrative examples also given.

2017
W. A. KHAN K. S. NISAR

Abstract. The object of the present paper is to establish an integral formula involving Wright generalized Bessel function (or generalized Bessel-Maitland function) J ν,q (z) defined by Singh et al. [21], which is expressed in the terms of generalized (Wright) hypergeometric functions. Some interesting special cases involving Bessel functions, generalized Bessel functions, generalized Mittag-Le...

2004
E. Y. DEEBA

This paper extends the Meijer transformation, M, given by I /2K 2p f(t) (pt) (2 p)dt, (Mf) (p) (i+) 0 where f belongs to an appropriate function space, e (-1,) and K is the modified Bessel function of third kind of order , to certain generalized functions. A testing space is constructed so as to contain the (pt)/2K(2p), of the transformation. Some properties of the kernel, function space and it...

Journal: :Advances in Difference Equations 2021

Abstract Motivated by the recent studies and developments of integral transforms with various special matrix functions, including orthogonal polynomials as kernels, in this article we derive formulas for Fourier cosine sine functions involving generalized Bessel polynomials. With help these several results are obtained, which extensions corresponding standard cases. The given here general chara...

2017
Kottakkaran Sooppy Nisar Fethi Bin Muhammad Belgacem

In this present study, we investigate the solutions for fractional kinetic equations involving k-Struve function using the Sumudu transform. The graphical interpretations of the solutions involving k-Struve function and its comparison with generalized Bessel function are given. The methodology and results can be considered and applied to various related fractional problems in mathematical physics.

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