Results 11 to 20 of about 720 (219)
The n-dimensional distributional Mellin transformation
International Journal of Mathematics and Mathematical Sciences, 1983 The n-dimensional distributional Mellin transformation is developed using the testing function space Mc,d and its dual M′c,d The standard theorems on analyticity, uniqueness and continuity are proved.
Sunil Kumar Sinha
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Will the Mediterranean Sea Be a Cul-de-Sac for Marine Gastropods Under Climate Change? [PDF]
Ecol EvolMarine benthic gastropods remain understudied despite extensive historical records, limiting our understanding of their vulnerability to climate change. Using multi‐temporal species distribution models, we show that intermediate future climate conditions may trigger major habitat contractions for four key cowrie and frog‐shell species in the NE ...
Giannini A +3 more
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Marine Heatwaves, Ocean Warming and Acidification Reshape Reef Fish Gut Microbiomes. [PDF]
Mol EcolABSTRACT Extreme climatic events and gradual climate change are increasingly anticipated to interact and reshape ecological communities. However, the combined effects of ocean warming, acidification and marine heatwaves on host‐associated microbial communities and their potential role in host adaptation remain poorly understood.
Mitchell A +9 more
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Mellin$-$Barnes Transformation for Two-Loop Master-Diagram
, 2023 In the paper, we obtain an expression for a two-loop master-diagram by using the Mellin$-$Barnes transformation. In the two-dimensional case we managed to factorize the answer and write it as a bilinear combination of hypergeometric functions ${}_3F_2$
Derkachev, S. E. +2 more
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GKZ-system of the 2-loop self energy with 4 propagators
European Physical Journal C: Particles and Fields, 2023 Applying the system of linear partial differential equations derived from the Mellin–Barnes representation and the Miller transformation, we present the GKZ-system of the Feynman integral of the 2-loop self energy diagram with 4 propagators.
Tai-Fu Feng +3 more
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A transformation formula related to Dirichlet L-functions with principal character
Lietuvos Matematikos Rinkinys, 2012 We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
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Mellin transforms and asymptotics [PDF]
Acta Informatica, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Philippe Flajolet, Mordecai J. Golin
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Application of Mellin-Kamal transformation in EL Gamal Ciphertext Cryptosystem / Nurul Syazwani Husairi and Nurul Aqilah Mohd Fauzi [PDF]
, 2023 El Gamal ciphertext cryptosystem is one of the fluently used algorithms to satisfy the security message or data transmission. Even though this algorithm alone can satisfy the need of ciphertext cryptosystem, it is vulnerable to numerous internal and ...
Mohd Fauzi, Nurul Aqilah +1 more
core
GKZ hypergeometric systems of the three-loop vacuum Feynman integrals
Journal of High Energy Physics, 2023 We present the Gel’fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems of the Feynman integrals of the three-loop vacuum diagrams with arbitrary masses, basing on Mellin-Barnes representations and Miller’s transformation. The codimension of derived GKZ
Hai-Bin Zhang, Tai-Fu Feng
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Next-to-leading-logarithm threshold resummation for exclusive B meson decays
European Physical Journal C: Particles and Fields, 2021 We 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.
Zhi-Qing Zhang, Hsiang-nan Li
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