Results 141 to 150 of about 596 (185)
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Multipliers for the Mellin Transformation
Canadian Mathematical Bulletin, 1978AbstractIn this paper we generalize the Mellin multiplier theorem we proved earlier [8] to spaces with quite general weights, satisfying an Ap-type condition. Applications are made to the Hilbert transformation.
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The mellin-whittaker integral transform
Mathematical Notes of the Academy of Sciences of the USSR, 1986The 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(
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2009
Generally speaking, unlike the Fourier and Laplace transforms, we find that the Mellin transform is not very useful in a direct manner. It is quite effective, however, in the derivation of certain properties of integrals, in summing series, and in statistics.
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Generally speaking, unlike the Fourier and Laplace transforms, we find that the Mellin transform is not very useful in a direct manner. It is quite effective, however, in the derivation of certain properties of integrals, in summing series, and in statistics.
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2002
In this and the next chapter, we study the Mellin transform, which, while closely related to the Fourier transform, has its own peculiar uses. In particular, it turns out to be a most convenient tool for deriving asymptotic expansions, although it has other applications ...
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In this and the next chapter, we study the Mellin transform, which, while closely related to the Fourier transform, has its own peculiar uses. In particular, it turns out to be a most convenient tool for deriving asymptotic expansions, although it has other applications ...
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Mellin Transforms in Summation
1978Suppose we wish to evaluate the sum $$ S = \sum\limits_{n = 1}^\infty {f(n)} $$ (1) .
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Solution of fuzzy fractional order differential equations by fractional Mellin transform method
Journal of Computational and Applied Mathematics, 2022Noreen Azhar
exaly
Quasi Fourier-Mellin Transform for Affine Invariant Features
IEEE Transactions on Image Processing, 2020Jianwei Yang, Yun-Jie Chen
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Generalized Mellin transform and its applications in fractional calculus
Computational and Applied Mathematics, 2022Mujeeb Ur Rehman
exaly