Results 31 to 40 of about 49,043 (210)
In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient.
FO Akinpelu, LA Adetunde, EO Omidiora
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RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS
We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
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Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations
In this work, we apply the operational matrix based on shifted Legendre polynomials for solving Prabhakar fractional differential equations. The Prabhakar derivative is defined in three-parameter Mittag-Leffler function. We achieve this by first deriving
Farah Suraya Md Nasrudin, Chang Phang
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Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel [PDF]
For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined.
Obermaier, Josef, Szwarc, Ryszard
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Polynomials to model the growth of young bulls in performance tests
The use of polynomial functions to describe the average growth trajectory and covariance functions of Nellore and MA (21/32 Charolais+11/32 Nellore) young bulls in performance tests was studied.
D.C.B. Scalez +4 more
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The finite Fourier transform of classical polynomials [PDF]
The finite Fourier transform of a family of orthogonal polynomials $A_{n}(x)$, is the usual transform of the polynomial extended by $0$ outside their natural domain.
Dixit, Atul +3 more
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Smooth Wavelet Approximations of Truncated Legendre Polynomials via the Jacobi Theta Function
The family of nth order q-Legendre polynomials are introduced. They are shown to be obtainable from the Jacobi theta function and to satisfy recursion relations and multiplicatively advanced differential equations (MADEs) that are analogues of the ...
David W. Pravica +2 more
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Differential cross section analysis in kaon photoproduction using associated legendre polynomials
Angular distributions of differential cross sections from the latest CLAS data sets \cite{bradford}, for the reaction ${\gamma}+p {\to} K^{+} + {\Lambda}$ have been analyzed using associated Legendre polynomials.
D. G. IRELAND +5 more
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In position dependent mass (PDM) problems, the quantum dynamics of the associated systems have been understood well in the literature for particular orderings. However, no efforts seem to have been made to solve such PDM problems for general orderings to
Karthiga, S. +3 more
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On the multiplicative Legendre equation
When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
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