Results 161 to 170 of about 2,192,868 (209)

Wave packet transform and wavelet convolution product involving the index Whittaker transform

The Ramanujan Journal
The paper is subscribed under the whole framework of wavelet analysis. The authors combine many concepts to develop a special wavelet analysis of functions. Based on the concept of index Whittaker transform, a wave packet transform and a wavelet convolution product are introduced leading to a Whittaker wavelet version and its associated Whittaker ...
Maan, Jeetendrasingh, Prasad, Akhilesh
openaire   +2 more sources

Parseval-Goldstein type theorems for the index Whittaker transform

Integral Transforms and Special Functions
This paper aims to derive Parseval-Goldstein type relations for the index Whittaker transform. Additionally, the study explores the continuity properties of both the index Whittaker transform and its adjoint over Lebesgue spaces.
Jeetendrasingh Maan, E. R. Negrín
openaire   +2 more sources

Hausdorff type operators and wavelet transform associated with the modified Whittaker transform

Integral Transforms and Special Functions
In the present paper, we introduce the Hausdorff type operators associated with the Whittaker operator $ L_{\alpha }=- \frac {1}{4}\left [x^2\frac {{\rm d}^2}{{\rm d}x^2} +\frac {[x^2m(x)]'}{m(x)}\frac {{\rm d}}{{\rm d}x}\right ] $ Lα=−14[x2d2dx2+[x2m(x)]
Yassine Fantasse, Abdellatif Akhlidj, Fethi Soltani   +2 more
openaire   +2 more sources

On asymptotic expansion of generalized Whittaker transform

Integral Transforms and Special Functions, 2005
The article is devoted to the study of an asymptotic behavior of the integral transform involving the Whittaker function W ρ, γ(z) in the kernel. It is proved that has power or power-logarithmic asymptotic expansion, as λ→0+ and λ→+∞, provided that f(t) has power asymptotic behavior at infinity and zero, respectively.
Y. Vasil’ev
openaire   +2 more sources

Toeplitz operators associated with the Whittaker Gabor transform and applications

Journal of Applied Analysis
Abstract The Whittaker Gabor transform (WGT) is a novel addition to the class of Gabor transforms, which has gained a respectable status in the realm of time-frequency signal analysis within a short span of time. Knowing the fact that the study of the time-frequency analysis is both theoretically interesting and practically useful ...
H. Mejjaoli
openaire   +2 more sources

Reconstruction and best approximate inversion formulas for the modified Whittaker–Stockwell transform

The Ramanujan Journal
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fethi Soltani
openaire   +2 more sources

Discrete inverse Sumudu transform application to Whittaker and Zettl equations

AIP Conference Proceedings, 2018
In this research article, the Discrete Inverse Sumudu Transform (DIST) multiple shifting properties are used to design a methodology for solving ordinary differential equations. We say ”Discrete” because it acts on the Taylor or Mclaurin series of the function when any.
R. Silambarasan, K. S. Nisar, F. B. M. Belgacem   +2 more
openaire   +2 more sources

Relation between Whittaker transform and modified ? v, k, m -transform

Mathematische Annalen, 1964
R. Saxena
openaire   +3 more sources

Canonical transformations from Jacobi to Whittaker

Archive for History of Exact Sciences, 2023
The idea of a canonical transformation emerged in 1837, during Carl Jacobi's research into analytical dynamics. The works published, in the period 1890--1910, by Henri Poincaré on celestial mechanics managed to make canonical transformations a fundamental part of dynamic theory.
Craig Fraser, Michiyo Nakane
openaire   +2 more sources

The mellin-whittaker integral transform

Mathematical Notes of the Academy of Sciences of the USSR, 1986
The author gives an inversion formula for the integral transform \(\iint K(\xi,\eta,\alpha,\beta,\lambda)f(\xi,\eta,\lambda)d\xi d\eta =F(\alpha,\beta,\lambda)\) with the kernel \[ K=\{(2\lambda)^{2i\alpha +1}B(i(\alpha +\beta)+1/2,i(\alpha -\beta)+1/2)/_{2\Gamma (2i\alpha +1)}\}\cdot \] \[ \eta^{2i}e^{\beta \pi sign \xi \eta -i\lambda \xi \eta}\Phi (i(
openaire   +2 more sources