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Spectrum analysis on Mellin Ttransform and fractional Mellin transform
2011 4th International Congress on Image and Signal Processing, 2011The differences between Mellin transform and Fourier transform are compared from the aspect of spectrum. Some properties of Mellin transform and fractional Mellin transform are generalized. The period of fractional Mellin transform is also investigated.
Nanrun Zhou, Xiangwu Zuo
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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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Hypergeometric Mellin transforms
Mathematical Proceedings of the Cambridge Philosophical Society, 1955The Mellin transforms of generalized hypergeometric functions are discussed in this paper, and it is shown how some of the most general integrals of the Mellin type can be deduced from them. Four general theorems are considered and a number of special cases are given in detail.
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Rendiconti del Circolo Matematico di Palermo Series 2, 2022
A. Bouhlal
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A. Bouhlal
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Generalized Mellin transform and its applications in fractional calculus
Computational and Applied Mathematics, 2022T. Aziz, M. Rehman
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Mellin transforms and algebraic functions
Integral Transforms and Special Functions, 2015This paper deals with Mellin–Barnes integral, representing solution to the nth degree algebraic equation. We prove convergence of this integral in the boundary points of its convergence domain. The cases of tetranomial and pentanomial equations are completely studied.
Irina A. Antipova, Tatyana V. Zykova
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1995 International Conference on Acoustics, Speech, and Signal Processing, 2002
Most machine speech analysis and processing is based on a warped spectral representation. The intent of the paper is to present a method by which proper warped representations can be computed efficiently. In the case of log-warping functions, the methods of the paper produce a wavelet-like transform as a linear convolution of a single log-warped ...
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Most machine speech analysis and processing is based on a warped spectral representation. The intent of the paper is to present a method by which proper warped representations can be computed efficiently. In the case of log-warping functions, the methods of the paper produce a wavelet-like transform as a linear convolution of a single log-warped ...
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2009
This table contains Mellin transforms to supplement the ones at the end of Chap. 1. These are still a small fraction of the transforms that are listed in Marichev (1983). The special functions that are not commonly used are defined in Appendix B. The value of n is an integer in the transforms below.
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This table contains Mellin transforms to supplement the ones at the end of Chap. 1. These are still a small fraction of the transforms that are listed in Marichev (1983). The special functions that are not commonly used are defined in Appendix B. The value of n is an integer in the transforms below.
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On the (p, q)-Mellin Transform and Its Applications
, 2021P. Jain, C. Basu, V. Panwar
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