Legendre Polynomials
Option pricing with Legendre polynomials
... that Legendre polynomials are used to expand the probability density function of asset prices and option ...the Legendre polynomials expansion of the density function (see our result in ...
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Some identities on Bernoulli and Euler polynomials arising from orthogonality of Legendre polynomials
... Abstract The purpose of this paper is to investigate some interesting identities on the Bernoulli and Euler polynomials arising from the orthogonality of Legendre polynomials in the inne[r] ...
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Operational Matrix Method for the Variable Order Time Fractional Diffusion Equation Using Legendre Polynomials Approximation
... Legendre polynomials play a prominent role in various areas of ...These polynomials have frequently used in both the solution of differential equations and approximation theory ...order ...
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Characterization of Optical Aberrations Induced by Thermal Gradients and Vibrations via Zernike and Legendre Polynomials
... Zernike polynomials for circular apertures and Legendre polynomials for the rectangu- lar ones to preliminarily disentangle the optical aberrations they’re affected ...
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A Block Procedure with Linear Multi Step Methods Using Legendre Polynomials for Solving ODEs
... In this article, we derive a block procedure for some K-step linear multi-step methods (for K = 1, 2 and 3), using Legendre polynomials as the basis functions. We give discrete methods used in block and ...
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Legendre polynomials for numerical solution of linear fuzzy Fredholm integral equations
... The aim of this paper, is to propose a simple nu- merical method to solve linear fuzzy Fredholm in- tegral equations with nonegative kernels. In this method, we use Legendre polynomials to approx- imate the ...
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Some results for sums of products of Chebyshev and Legendre polynomials
... Gegenbauer polynomials, the Chebyshev polynomials of the first and sec- ond kinds and the Legendre polynomials in this ...Chebyshev polynomials of the first and second kinds and ...
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Optimal control, Orthogonal Polynomials, Spectral Method, Legendre Polynomials, Riccati Method
... polynomials [16] and Wavelet functions [17]. In this paper apart from the shifted Legendre Polynomials, new set of Orthogonal Polynomials are considered based on the requirement of the ...
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Generalized Wavelet Transform Associated with Legendre Polynomials
... the Legendre transform developed by Gegenbauer is exploited to define Legendre translation by means of which a new wavelet and wavelet transform involving Legendre Polynomials is ...
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Approximate solutions of a sum type fractional integro differential equation by using Chebyshev and Legendre polynomials
... has been provided in Figure ) is inconsiderable. Denote the numerical solutions of the Chebyshev and Legendre methods by x ˜ and x, respectively. In Table , we show that the ˆ difference of the approximate ...
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Some applications of Legendre numbers
... From these the associated Legendre polynomials are obtained and the derivatives of these polynomials at x 0 are derived by using properties of the Legendre numbers.. These derivatives ar[r] ...
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... Genocchi polynomials of higher order and Choi-Anderson-Srivastava have studied the q-extension of Euler and Genocchi numbers of higher order, which is defined by ...
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Period polynomials, derivatives of L functions, and zeros of polynomials
... period polynomials, and therefore results such this can be thought of as a “Riemann Hypothesis” for period ...“zeta polynomials” Z f (s). These are versions of the period polynomials that send the ...
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REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE FIRST KIND AND LUCAS POLYNOMIALS BY CHEBYSHEV POLYNOMIALS
... Chebyshev polynomials of the first kind in (1.24) and of Lucas polynomials in ...Chebyshev polynomials to find that all the coefficients involve terminating hypergeometric functions 2 F 1 ...
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The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials
... Various authors studied the properties of Fibonacci polynomials and Lucas polyno- mials, and obtained many interesting results, see [1-3]. Recently, several authors studied the infinite sums derived from the ...
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New identities and relations derived from the generalized Bernoulli polynomials, Euler polynomials and Genocchi polynomials
... Carlitz first extended the classical Bernoulli polynomials and numbers, Euler polynomi- als and numbers []. There are numerous recent investigations on this subject by many au- thors. Cheon [], Kurt [], Luo [], ...
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Orthogonal polynomials, paraorthogonal polynomials and point perturbation
... Both the Szeg˝ o condition and bounded variation of recursion coefficients come up in the study of orthogonal polynomials very often. In this section, we will show that there is a very large class of measures with ...
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Several identities involving the Fibonacci polynomials and Lucas polynomials
... In this paper, the authors consider infinite sums derived from the reciprocals of the Fibonacci polynomials and Lucas polynomials. Then applying the floor function to the reciprocals of these sums, the ...
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Legendre Wavelet Neural Networks for Power Amplifier Linearization
... the Legendre wavelet and the structure of the LWNN and describe its proper- ties which can offer an efficient tool for the digital pre-distortion ...the Legendre wavelet are used to PA model and compared ...
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A new Legendre wavelets decomposition method for solving PDEs
... the Legendre wavelets method to solve a partial differential equation, whose un- known function depends on spatial and temporal ...into Legendre wavelets basis will be done only on the spatial ...
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