Results 31 to 40 of about 577 (166)
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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Analytical Standard Uncertainty Evaluation Using Mellin Transform
IEEE Access, 2015 Uncertainty evaluation plays an important role in ensuring that a designed system can indeed achieve its desired performance. There are three standard methods to evaluate the propagation of uncertainty: 1) analytic linear approximation; 2) Monte Carlo ...
Arvind Rajan +3 more
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Analysis of the family of integral equation involving incomplete types of I and Ī-functions
Applied Mathematics in Science and Engineering, 2023 The present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (IIF) and an incomplete $ \bar {I} $ -function (I $ \bar {I} $ F) in its kernel.
Sanjay Bhatter +5 more
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Scale-invariant 3D face recognition using computer-generated holograms and the Mellin transform
Opto-Electronic AdvancesWe present a novel method for scale-invariant 3D face recognition by integrating computer-generated holography with the Mellin transform. This approach leverages the scale-invariance property of the Mellin transform to address challenges related to ...
Yongwei Yao +5 more
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Variational inequality arising from variable annuity with mean reversion environment
Journal of Inequalities and Applications, 2023 In this paper, we study a variational inequality arising from variable annuity (VA) to find the optimal surrender strategy for a VA investor when the underlying asset follows a mean reverting process.
Junkee Jeon, Geonwoo Kim
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Distributional celestial amplitudes
Journal of High Energy PhysicsScattering amplitudes are tempered distributions, which are defined through their action on functions in the Schwartz space S ℝ $$ \mathcal{S}\left(\mathbb{R}\right) $$ by duality.
Majdouline Borji, Yorgo Pano
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ABJM quantum spectral curve and Mellin transform
Journal of High Energy Physics, 2018 The present techniques for the perturbative solution of quantum spectral curve problems in N=4 $$ \mathcal{N}=4 $$ SYM and ABJM models are limited to the situation when the states quantum numbers are given explicitly as some integer numbers.
R. N. Lee, A. I. Onishchenko
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Estimates and properties of certain q-Mellin transform on generalized q-calculus theory
Advances in Difference Equations, 2021 This paper deals with the generalized q-theory of the q-Mellin transform and its certain properties in a set of q-generalized functions. Some related q-equivalence relations, q-quotients of sequences, q-convergence definitions, and q-delta sequences are ...
Shrideh Al-Omari
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Non-abelian Mellin transformations and applications
Forum of Mathematics, Sigma, 2022 Abstract We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalisation to the non-abelian context and with arbitrary coefficients of the t-exactness of Gabber-Loeser’s Mellin transformation.
Yongqiang Liu +2 more
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Mellin Transform of Dirichlet L-Functions with Primitive Character
Mathematical Modelling and Analysis, 2014 In the paper, meromorphic continuation for the modified Mellin transform of Dirichlet L-functions with primitive character is obtained.
Aidas Balčiūnas, Darius Šiaučiūnas
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