Results 181 to 190 of about 720 (219)
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Journal of Magnetic Resonance, 2010
This paper describes a new method for computing moments of the transverse relaxation time T(2) from measured CPMG data. This new method is based on Mellin transform of the measured data and its time-derivatives. The Mellin transform can also be used to compute the cumulant generating function of lnT(2).
Lalitha, Venkataramanan +3 more
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This paper describes a new method for computing moments of the transverse relaxation time T(2) from measured CPMG data. This new method is based on Mellin transform of the measured data and its time-derivatives. The Mellin transform can also be used to compute the cumulant generating function of lnT(2).
Lalitha, Venkataramanan +3 more
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Residue Integrals and their Mellin Transforms
Canadian Journal of Mathematics, 1995AbstractGiven an almost arbitrary holomorphic map we study the structure of the associated residue integral and its Mellin transform, and the relation between these two objects. More precisely, we relate the limit behaviour of the residue integral to the polar structure of the Mellin transform.
Passare, Mikael, Tsikh, August
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Naylor Transforms of Mellin Type
SIAM Journal on Mathematical Analysis, 1973Some transforms introduced by Naylor (1963) are characterized in terms of Mellin transforms. This facilitates the analysis of transform properties. A problem of steady-state heat in a finite circular sector (or wedge) is considered to illustrate the use of one of the transforms and its properties.
Harrington, W. J., Patel, K. A.
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Evaluation of integrals and the mellin transform
Journal of Soviet Mathematics, 1991A survey on calculation methods for integrals using the Mellin transform is suggested. The list of literature contains papers on various analytical methods for the calculation of integrals and consists of 1579 (the main) and 45 (additional) denominations.
Prudnikov, A. P. +2 more
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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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On the Asymptotic Expansion of Mellin Transforms
SIAM Journal on Mathematical Analysis, 1987zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Mellin central projection transform
ANZIAM Journal, 2017The central projection transform can be employed to extract invariant features by combining contour-based and region-based methods. However, the central projection transform only considers the accumulation of the pixels along the radial direction. Consequently, information along the radial direction is inevitably lost.
JIANWEI YANG, LIANG ZHANG, ZHENGDA LU
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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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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 ...
openaire +1 more source