Relevant bibliographies by topics / Transformation de Mellin inverse (ou de Pincherle)

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Transformation de Mellin inverse (ou de Pincherle)'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "Transformation de Mellin inverse (ou de Pincherle)"

1

VERMASEREN, J. A. M. "HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS." International Journal of Modern Physics A 14, no. 13 (1999): 2037–76. http://dx.doi.org/10.1142/s0217751x99001032.

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This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations. Together with results for the values of the higher harmonic series at infinity the presented algorithms can be used for the symbolic evaluation of whole classes of integrals that were thus far intractable. Also many of the sums that had to be evaluated seem to involve new results. Most of the algorithms have
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2

Matsueda, Hiroaki. "Inverse Mellin Transformation of Continuous Singular Value Decomposition: A Route to Holographic Renormalization." Journal of the Physical Society of Japan 85, no. 11 (2016): 114001. http://dx.doi.org/10.7566/jpsj.85.114001.

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3

Sidorov, A. V., and O. P. Solovtsova. "The Efficient Contour of the Inverse Mellin Transformation for the Non-Singlet Structure Functions." Physics of Atomic Nuclei 81, no. 6 (2018): 923–29. http://dx.doi.org/10.1134/s1063778818060273.

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4

Zhang, Zhi-Qing, and Hsiang-nan Li. "Next-to-leading-logarithm threshold resummation for exclusive B meson decays." European Physical Journal C 81, no. 7 (2021). http://dx.doi.org/10.1140/epjc/s10052-021-09376-2.

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AbstractWe extend the threshold resummation of the large logarithms $$\ln x$$ ln x which appear in factorization formulas for exclusive B meson decays, x being a spectator momentum fraction, to the next-to-leading-logarithm (NLL) accuracy. It is shown that the NLL resummation effect provides suppression in the end-point region with $$x\sim 0$$ x ∼ 0 stronger than the leading-logarithm (LL) one, and thus improves perturbative analyses of the above processes. We revisit the $$B\rightarrow K\pi $$ B → K π decays under the NLL resummation in the perturbative QCD approach, and find that it induces
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Dissertations / Theses on the topic "Transformation de Mellin inverse (ou de Pincherle)"

1

Fabbro, Hervé. "Transformation de Mellin faisceautique et D-modules." Phd thesis, Université de Nice Sophia-Antipolis, 2006. http://tel.archives-ouvertes.fr/tel-00133909.

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Dans un premier temps, nous décrivons le complexe des solutions du transformé de Mellin algébrique d'un D-module M en fonction des solutions de M. Pour cela, nous définissons un foncteur de transformation de Mellin faisceautique. Nous montrons alors que le transformé de Mellin du complexe des solutions à décroissance rapide en 0 et à l'infini d'un D-module holonome régulier M est quasi-isomorphe au complexe des solutions du transformé de Mellin algébrique de M, l'hypothèse de régularité n'étant plus nécessaire à une variable.<br />Dans un second temps, nous faisons un travail analogue avec la
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