Results 171 to 180 of about 2,192,868 (209)

Time-frequency analysis associated with the index Whittaker transform and applications

Hacettepe Journal of Mathematics and Statistics
The index Whittaker transform has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis. The aim of this article is to introduce and study the generalized Whittaker Gabor transform.
H. Mejjaoli
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Inverse Laplace transforms of products of Whittaker functions

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008
Identities of the form are proved. Here W 1 is either of the Whittaker functions W κ , μ or M κ ,
Richard Beals, Yakar Kannai
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Index Whittaker transforms over Lebesgue spaces

Journal of Pseudo-Differential Operators and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maan, Jeetendrasingh, Negrín, E. R.
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Boosted Whittaker-Henderson Graduation of Order 1: A Graph Spectral Filter Using Discrete Cosine Transform

Contemporary Mathematics
The Whittaker-Henderson (WH) graduation of order 1 is a smoothing/filtering method for equally spaced one-dimensional data. Inspired by Phillips and Shi, this paper introduces the boosted version of the WH graduation of order 1.
Ruoyi Bao, Hiroshi Yamada
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Generalized fractional integral transform with Whittaker's kernel

AIP Conference Proceedings, 2013
In this work we present two generalizations (see the operators I0+α,ρ,σ and I−α,ρ,σ defined below) of the classical Liouville fractional integrals. We study their boundedness as operators mapping the space Lv,r into the spaces Lv+2+Re(α)2−2Re(ρ),r and Lv+1+−Re(ρ),r. In the end, we will apply our generalization to some particular functions.
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The iterated generalised Whittaker transform. I

1985
Summary: The authors consider, by a theorem, the generalised Whittaker transform of the generalized Whittaker transform of a function and indicate that, by specializing the parameters in it, this theorem reduces to the corresponding theorem on Laplace transforms.
Moharir, S. K., Saxena, R. K.
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A Class of Index Transforms with Whittaker's Function as the Kernel

The Quarterly Journal of Mathematics, 1998
The authors investigate an index transform associated with Whittaker's function \(W_{\mu,i\tau}(x)\), which has been defined by \[ [W_\mu f] (x)= \int^\infty_{-\infty} \tau\Gamma \left( \textstyle {{1\over 2}} -\mu-i\tau \right) \Gamma \left (\textstyle {1\over 2} -\mu+i \tau\right) W_{\mu,i\tau} (x)f(\tau) d \tau\;(x>0).
Srivastava, H.M., Vasil'ev, Yu.V., Yakubovich, S.B.   +2 more
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Spaces dual relative to the Mellin-Whittaker integral transform

Mathematical Notes of the Academy of Sciences of the USSR, 1987
See the review in Zbl 0638.44002.
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A Novel Analytic Method with Integral Transform for Solving Classes of Second and Third Order Ordinary Linear Differential Equations with Variable Coefficients

Applied and Computational Mathematics
Analytical solutions of second- and third-order non-homogeneous Ordinary Linear Differential Equations (OLDEs) with variable coefficients have been investigated using an established mathematical tool, the integral transform, together with a new analytic ...
Mohamed Jama, K. Giterere, D. Kioi
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The Inverse Laplace Transform of the Product of Two Whittaker Functions

Mathematical Proceedings of the Cambridge Philosophical Society, 1962
The object of this paper is to obtain the original function of which the Laplace transform (l) is the productwhere, as usual, p is complex, n is any positive integer, and Wk, m(z) is the Whittaker function defined by the equationIn § 2 it will be shown that this original function iswhere the symbol Δ(n; α) represents the set of ...
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