Results 21 to 30 of about 16,180 (243)
Integrable field theories and their CCFT duals
Journal of High Energy Physics, 2023 We compute the Mellin transforms of various two-dimensional integrable S-matrices, providing the first explicit, non-perturbative realizations of celestial CFT.
Daniel Kapec, Adam Tropper
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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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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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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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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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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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Theory of Barnes Beta Distributions [PDF]
, 2013 A new family of probability distributions $\beta_{M, N},$ $M=0\cdots N,$ $N\in\mathbb{N}$ on the unit interval $(0, 1]$ is defined by the Mellin transform.
Ostrovsky, Dmitry
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Mellin-Fourier series and the classical Mellin transform
Computers & Mathematics with Applications, 2000 AbstractThe aim of this paper is to present the counterpart of the theory of Fourier series in the Mellin setting, thus to consider a finite Mellin transform, or Mellin-Fourier coefficients, together with the associated Mellin-Fourier series. The presentation, in a systematic and overview form, is independent of the Fourier theory (or Laplace transform
S. Jansche, Paul L. Butzer
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An analytical solution for the Caputo type generalized fractional evolution equation
Alexandria Engineering Journal, 2022 The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
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Notes on flat-space limit of AdS/CFT
Journal of High Energy Physics, 2021 Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin space, coordinate space, and partial-wave expansion.
Yue-Zhou Li
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