Results 11 to 20 of about 10,852 (206)
Solution Strategy and Associated Results for Fuzzy Mellin Transformation
Franklin OpenThe advancement of the Mellin transformation is that it exhibits a scale-invariant nature, and thus, it is widely used in computer science. Fuzzy Mellin transformation can provide the purposes of such problems in uncertain phenomena. The existing studies
Payal Singh +4 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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A transformation formula with primitive character
Lietuvos Matematikos Rinkinys, 2013 We prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with
Aidas Balčiūnas
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Comparison of numerical solutions for Q^2 evolution equations [PDF]
, 2004 Q^2 evolution equations are important not only for describing hadron reactions in accelerator experiments but also for investigating ultrahigh-energy cosmic rays.
Altarelli +28 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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New Journal of Physics, 2006 We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum $p_ $, transforms the wavefunction via a Mellin transform on to the critial line $s=1/2-ip_ $.
Twamley, J., Milburn, G. J.
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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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Mellin Transforms of Whittaker Functions [PDF]
Canadian Mathematical Bulletin, 2002 AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.
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Waveform considerations in space-variant optical processors [PDF]
, 1978 The use of coded waveforms in space-variant optical signal processors using coordinate transformations is considered. It is shown that nonlinear transmitted coded signals must be used with such a processor and that this results in novel waveform design ...
Casasent, David, Psaltis, Demetri
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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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