Results 71 to 80 of about 1,239,411 (205)
Proof of a conjecture by Gazeau et al. using the Gould Hopper polynomials
, 2012 We prove the "strong conjecture" expressed by Gazeau et al. in arXiv:1203.3936v1 [math-ph] about the coefficients of the Taylor expansion of the exponential of a polynomial. This implies the "weak conjecture" as a special case.
C. Vignat, Carmona P., O. Lévêque
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On Some Cauchy Type Mean-Value Theorems with Applications
Communications in Advanced Mathematical SciencesSome Cauchy-type mean-value theorems for Chebychev’s inequality, Steffensen’s inequality, midpoint rule, and Simpson’s rule are presented. Furthermore, we give some applications for the obtained results using the exponential and logarithmic functions ...
Uğur Selamet Kırmacı
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Systematic parametrization of the leading B-meson light-cone distribution amplitude
Journal of High Energy Physics, 2022 We propose a parametrization of the leading B-meson light-cone distribution amplitude (LCDA) in heavy-quark effective theory (HQET). In position space, it uses a conformal transformation that yields a systematic Taylor expansion and an integral bound ...
Thorsten Feldmann +2 more
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Differentiable Genetic Programming
, 2016 We introduce the use of high order automatic differentiation, implemented via the algebra of truncated Taylor polynomials, in genetic programming. Using the Cartesian Genetic Programming encoding we obtain a high-order Taylor representation of the ...
Biscani, Francesco +2 more
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The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations
Heliyon, 2020 This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear differential equations of different kind. The main characteristic of LPs is that they satisfy multiple expansion points and its derivatives as a mechanism to replicate ...
Hector Vazquez-Leal +3 more
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Taylor Polynomials in a High Arithmetic Precision as Universal Approximators
ComputationFunction approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates
Nikolaos Bakas
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A new type of Taylor series expansion
Journal of Inequalities and Applications, 2018 We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic ...
Mohammad Masjed-Jamei +3 more
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A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials [PDF]
Surveys in Mathematics and its Applications, 2021 The purpose of this article is to introduce a new subclass ℋΣ(δ,λ,m,θ,x) of analytic and bi-univalent functions by using the Horadam polynomials, which is associated with the Pascal distribution series and to investigate the bounds for |a2| and |a3 ...
H. M. Srivastava +2 more
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Hybrid approximations for fractional calculus [PDF]
ITM Web of Conferences, 2019 In this paper, a numerical method for solving the fractional differential equations is presented. The method is based upon hybrid functions approximation.
Razzaghi Mohsen
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A Taylor Function Calculus for Hybrid System Analysis: Validation in Coq [PDF]
, 2010 International audienceWe present a framework for the verification of the numerical algorithms used in Ariadne, a tool for analysis of nonlinear hybrid system.
Collins, Pieter +2 more
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