Results 41 to 50 of about 2,125,985 (294)
The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function
Journal of Mathematics, 2021 Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a,k,β, and γ are general complex numbers.
Robert Reynolds, Allan Stauffer
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Renormalization and Mellin Transforms [PDF]
, 2013 We study renormalization in a kinetic scheme using the Hopf algebraic framework, first summarizing and recovering known results in this setting. Then we give a direct combinatorial description of renormalized amplitudes in terms of Mellin transform coefficients, featuring the universal property of rooted trees H_R.
Erik Panzer, Dirk Kreimer
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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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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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Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm [PDF]
arXiv.org, 2018 We describe how the extension of a solver for linear differential equations by Kovacic's algorithm helps to improve a method to compute the inverse Mellin transform of holonomic sequences.
J. Ablinger
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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 Fourier, Hilbert and Mellin transforms on a half-line [PDF]
Bl{\aa}sten, E. L. K., P\"aiv\"arinta, L., Sadique, S. (2023). The
Fourier, Hilbert, and Mellin transforms on a half-line. SIAM Journal on
Mathematical Analysis, 55(6), 7529-7548, 2023 We are interested in the singular behaviour at the origin of solutions to the equation $\mathscr{H} \rho = e$ on a half-axis, where $\mathscr H$ is the one-sided Hilbert transform, $\rho$ an unknown solution and $e$ a known function. This is a simpler model problem on the path to understanding wave field singularities caused by curve-shaped scatterers ...
arxiv +1 more source
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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, 2020 A barrier option is an exotic path-dependent option contract where the right to buy or sell is activated or extinguished when the underlying asset reaches a certain barrier price during the lifetime of the contract.
M. Rodrigo
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