Results 21 to 30 of about 577 (166)
Solution of Fractional Order Equations in the Domain of the Mellin Transform
Journal of Nigerian Society of Physical Sciences, 2019 This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
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Journal of High Energy Physics, 2021 We define a Mellin amplitude for CFT1 four-point functions. Its analytical properties are inferred from physical requirements on the correlator. We discuss the analytic continuation that is necessary for a fully nonperturbative definition of the Mellin ...
Lorenzo Bianchi +3 more
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On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform
Axioms, 2023 In this paper, we consider the modified Mellin transform of the product of the square of the Riemann zeta function and the exponentially decreasing function, and we discuss its probabilistic and approximation properties.
Antanas Laurinčikas
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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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Mellin Transform-Based Approach for Parameter Estimation of K Distribution Plus Noise
IEEE Access, 2019 Mellin transform is a fast and robust method for parameter estimation. In this paper, the parameter estimator of K plus noise (KpN) model based on the Mellin transform is proposed.
Kuihua Huang, Chao Chen, Gui Gao
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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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Towards spinning Mellin amplitudes
Nuclear Physics B, 2018 We construct the Mellin representation of four point conformal correlation function with external primary operators with arbitrary integer spacetime spins, and obtain a natural proposal for spinning Mellin amplitudes.
Heng-Yu Chen, En-Jui Kuo, Hideki Kyono
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The inverse Mellin transform via analytic continuation
Journal of High Energy Physics, 2023 We present a method to calculate the x-space expressions of massless or massive operator matrix elements in QCD and QED containing local composite operator insertions, depending on the discrete Mellin index N, directly, without computing the Mellin-space
A. Behring, J. Blümlein, K. Schönwald
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Moment analysis of hadronic vacuum polarization
Physics Letters B, 2014 I suggest a new approach to the determination of the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon aμHVP in lattice QCD.
Eduardo de Rafael
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The distribution of Mahler's measures of reciprocal polynomials
International Journal of Mathematics and Mathematical Sciences, 2004 We study the distribution of Mahler's measures of reciprocal polynomials with complex coefficients and bounded even degree. We discover that the distribution function associated to Mahler's measure restricted to monic reciprocal polynomials is a ...
Christopher D. Sinclair
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