Results 31 to 40 of about 978,477 (364)
Jointly orthogonal polynomials [PDF]
Journal of the London Mathematical Society, 2015 The theory of polynomials orthogonal with respect to one inner product is classical. We discuss the extension of this theory to multiple inner products. Examples include the Lamé and Heine-Stieltjes polynomials.
Felder, Giovanni, Willwacher, Thomas
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Polynomials orthogonal on the semicircle [PDF]
Journal of Approximation Theory, 1986 The authors study the complex polynomials \(\{\pi_ n\}\) which are orthogonal with respect to the complex-valued inner product \((f,g)=\int^{\pi}_{0}f(e^{i\theta})g(e^{i\theta})d\theta.\) For these polynomials, they obtain a three-term recurrence relation, a linear differential equation of second order and discuss the nature of the zeros.
Gradimir V. Milovanović +1 more
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Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
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Проблемы анализа, 2020 In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
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Symmetric orthogonal polynomials and the associated orthogonal 𝐿-polynomials [PDF]
Proceedings of the American Mathematical Society, 1995 We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained. Finally as an application, we derive information regarding the orthogonal polynomials associated with the weight function ( 1 + k
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Expected number of real zeros for random linear combinations of orthogonal polynomials [PDF]
, 2015 We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d.
D. Lubinsky, I. Pritsker, Xiaoju Xie
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Representations of orthogonal polynomials
Journal of Computational and Applied Mathematics, 1998 Zeilberger's algorithm provides a method to compute recurrence and differential equations from given hypergeometric series representations, and an adaption of Almquist and Zeilberger computes recurrence and differential equations for hyperexponential integrals.
Dieter Schmersau, Wolfram Koepf
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On some hypergeometric Sobolev orthogonal polynomials with several continuous parameters
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023 In this paper we study the following hypergeometric polynomials: $$ \mathcal{P}_n(x) = \mathcal{P}_n(x;\alpha,\beta,\delta_1, \dots,\delta_\rho,\kappa_1,\dots,\kappa_\rho) = $$ $$ = {}_{\rho+2} F_{\rho+1} (-n,n+\alpha+\beta+1,\delta_1+1, \dots,\delta_ ...
Sergey Zagorodnyuk
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Orthogonal polynomials of dimension –1 in the non-definite case [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1994 : Orthogonal polynomials of dimension d = −1 are a particular case of vector orthogonal polynomials which are, themselves, a particular case of biorthogonal polynomials.
C. BREZINSKI , M. REDIVO-ZAGLIA
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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