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The online time-variant matrix inversion problem has attracted extensive attention and study, because of its considerable appearance and application in scientific research and industrial production.
Dongqing Wu +4 more
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On An Inversion Formula For The Laplace Transformation [PDF]
1. Introduction. The literature of the Laplace transformation contains many examples of inversion operators. Particular attention has been given in this literature to the so-called “real” inversion operators, that is, those operators which make use of values of the generating function arising only from real values of the independent variable.
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A one-parameter deformation of the noncommutative Lagrange inversion formula
International audienceWe give a one-parameter deformation of the noncommutative Lagrange inversion formula, more precisely, of the formula of Brouder-Frabetti-Krattenthaler for the antipode of the noncommutative Fa ́ di Bruno algebra. Namely, we obtain a
Bultel, Jean-Paul
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The Generalized Mehler–Fock Transform over Lebesgue Spaces
This paper focuses on establishing boundedness properties and Parseval–Goldstein-type relations for the generalized Mehler–Fock transform initially introduced by B. L. J. Braaksma and B. M. Meulenbeld (Compositio Math., 18(3):235–287, 1967).
Jeetendrasingh Maan +2 more
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A formula of inversion is established for an integral transform whose kernel is the Bessel function Ju(kr) where r varies over the finite interval (0,a) and the order u is taken to be the eigenvalue parameter.
D. Naylor
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A fourier inversion formula for evolutionary trees
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Székely, L. A. +3 more
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A Lorentzian inversion formula for defect CFT
We present a Lorentzian inversion formula valid for any defect CFT that extracts the bulk channel CFT data as an analytic function of the spin variable.
Schomerus, Volker +2 more
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A generalized inversion formula for the continuous Jacobi transform
In this paper we extend the definition of the continuous Jacobi transform to a class of generalized functions and obtain a generalized inversion formula for it.
Ahmed I. Zayed
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One-variable q-analogues for Abhyankar's inversion formula
Two types of q-extensions of Abhyankar's inversion formula for formal power series in a single variable are obtained. One type represents a new contribution to the Garsia-Gessel q-Lagrange inversion theory, the second to that of Hofbauer and the ...
Krattenthaler, Christian
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An extension of the Henrici Formula for Laplace Transforms Inversion
Under certain conditions, starting from the Riemann inversion formula, which gives an explicit representation of the inverse Laplace transform in the complex form, we derive an integral equation, of convolution type, whose solution is the inverse Laplace
RIZZARDI, Mariarosaria
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