Results 1 to 10 of about 22,462 (245)

About calculation of the Hankel transform using preliminary wavelet transform [PDF]

Journal of Applied Mathematics, 2003
The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients
E. B. Postnikov
doaj   +8 more sources

Uniform convergence of Hankel transforms [PDF]

Journal of Mathematical Analysis and Applications, 2018
We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transforms $$\mathcal{L}^\alpha_{\nu,\mu}f(r) = r^\mu\int_0^\infty (rt)^\nu f(t) j_\alpha(rt)\, dt, \quad \alpha\geq -1/2, \quad r\geq ...
Debernardi, A.
core   +8 more sources

Besov-type spaces for the κ-Hankel wavelet transform on the real line [PDF]

Concrete Operators, 2021
In this paper, we shall introduce functions spaces as subspaces of Lpκ (ℝ) that we call Besov-κ-Hankel spaces and extend the concept of κ-Hankel wavelet transform in Lpκ(ℝ) space.
Pathak Ashish, Pandey Shrish
doaj   +2 more sources

On Hankel transform [PDF]

Proceedings of the American Mathematical Society, 1990
In this paper, using some results of the author on Hankel transform in the Schwartz and Gel’fand-Shilov spaces, we characterize the integral operators of Hankel type which are isomorphisms between the spaces H μ {H_\mu } of Zemanian.
Antonio J. Durán
openaire   +2 more sources

Application of the generalized shift operator to the Hankel transform. [PDF]

Springerplus, 2014
Baddour N.
europepmc   +3 more sources

Fractal Hankel Transform

Fractal and Fractional
This paper explores the extension of classical transforms to fractal spaces, focusing on the development and application of the Fractal Hankel Transform. We begin with a concise review of fractal calculus to set the theoretical groundwork.
Alireza Khalili Golmankhaneh, Hamdullah Şevli, Carlo Cattani, Zoran Vidović   +3 more
doaj   +2 more sources

Effect of natural heat convection on fractional MHD second-grade fluid in an infinite vertically oscillating cylinder with Hankel transform. [PDF]

Heliyon, 2023
Uddin S, Mehmood OU, Mohamad M, Roslan R, Khan I, Mohamed A.   +5 more
europepmc   +2 more sources

Variation diminishing Hankel transforms

Journal d'Analyse Mathématique, 1960
I. I. Hirschman
openaire   +4 more sources

Some Relations between Stieltjes Transform and Hankel Transform with Applications

Communications in Advanced Mathematical Sciences, 2023
In the present paper four theorems connecting Stieltjes transform and Hankel transform are established. The theorems are general in nature. Four integral formulae involving special functions are obtained with the help of these theorems.
Virendra Kumar
doaj   +1 more source

Quaternion Hankel Transform and its Generalization [PDF]

Sahand Communications in Mathematical Analysis
In this study, the quaternion Hankel transform is developed. Basic operational properties and inversion formula of quaternion Hankel transform are derived. Parseval’s relation for this transform is also established.
Khinal Parmar, V. R. Lakshmi Gorty
doaj   +1 more source