Výsledky vyhledávání - Orthogonal polynomials and functions in several variables

Modern trends in constructive function theory : Constructive Functions 2014, conference in honor of Ed Saff's 70th birthday, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee Autor Hardin, Douglas Patten, Lubinsky, Doron Shaul, Simanek, Brian Z., Constructive Functions (Conference and School)

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Extension of the Beta function in several variables and applications for multivariate orthogonal polynomials Autor Al-harbi, Nawal Helal, Raïssouli, Mustapha

“… ) from two variables to three or more variables. The properties of such extended functions are studied in a systematic manner and some inequalities are also discussed…”
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On Jacobi Polynomials Of Several Variables Autor Shrivastava, H.S.P.

“…The aim of the present paper is to define the Jacobi polynomial of two variables, three variables and m-variables…”
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The asymptotics of the kernel functions associated to orthogonal polynomials in several variables on the unit ball Autor Dueñas, Herbert, Gómez Blanco, Wilmer Merardo

“…We consider a family of orthogonal polynomials in several variables with respect to a Sobolev-type inner product, obtained from adding a gradient operator of order j, evaluated…”
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Moments of Random Matrices and Hypergeometric Orthogonal Polynomials Autor Cunden, Fabio Deelan, Mezzadri, Francesco, O’Connell, Neil, Simm, Nick

“…We establish a new connection between moments of n × n random matrices X n and hypergeometric orthogonal polynomials…”
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Properties of Some of Two-Variable Orthogonal Polynomials Autor Milovanović, Gradimir V., Öztürk, Güner, Aktaş, Rabia

“…The present paper deals with various recurrence relations, generating functions and series expansion formulas for two families of orthogonal polynomials in two variables, given Laguerre…”
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Optimal approximants and orthogonal polynomials in several variables Autor Sargent, Meredith, Sola, Alan A.

“… and orthogonal polynomials in weighted spaces. Weakly inner functions, whose optimal approximants are all constant, provide extreme cases where nontrivial orthogonal polynomials cannot be recovered from the optimal approximants…”
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On Finite Classes of Two-Variable Orthogonal Polynomials Autor Güldoğan, Esra, Aktaş, Rabia, Masjed-Jamei, Mohammad

“…The purpose of this paper is to introduce several finite sets of orthogonal polynomials in two variables, and investigate some general properties of them such as recurrence relations, generating…”
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Some Sequences of Sobolev-Type Zernike Orthogonal Polynomials Autor Ruiz, Herbert Dueñas, Combita, Gabriel Pulido

“…In this paper, we study and develop some properties of classical orthogonal polynomials on the unit ball, specifically those that are orthogonal with respect…”
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Inner bounds for the extreme zeros of 3F2 hypergeometric polynomials Autor Jooste, A., Njionou Sadjang, P., Koepf, W.

“… several variables exist in abundance. We modify Zeilberger's algorithm to generate unknown contiguous relations that are necessary to obtain inner bounds for the extreme zeros of orthogonal polynomial sequences with hypergeometric representations…”
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Sobolev Orthogonal Polynomials of Several Variables on Product Domains Autor Dueñas Ruiz, Herbert, Salazar-Morales, Omar, Piñar, Miguel

“…Sobolev orthogonal polynomials of d variables on the product domain Ω : = [ a 1 , b 1 ] × ⋯ × [ a d , b d ] with respect to the inner product f , g…”
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Combinatorics of orthogonal polynomials on the unit circle: Combinatorics of orthogonal polynomials on the unit circle Autor Jang, Jihyeug, Song, Minho

“…Orthogonal polynomials on the unit circle (OPUC for short) are a family of polynomials whose orthogonality is given by integration over the unit circle in the complex plane…”
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Connection coefficients for classical orthogonal polynomials of several variables Autor Iliev, Plamen, Xu, Yuan

“… For classical orthogonal polynomials whose weights are invariant under the action of the symmetric group, connection coefficients between a basis consisting of products of hypergeometric functions…”
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Polynomial approximation on polytopes Autor Totik, Vilmos

“…Polynomial approximation on convex polytopes in…”
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Affine Hecke Algebras and Orthogonal Polynomials Autor Macdonald, I. G.

“…In recent years there has developed a satisfactory and coherent theory of orthogonal polynomials in several variables, attached to root systems, and depending on two or more parameters…”
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Combinatorics of orthogonal polynomials of type RI Autor Kim, Jang Soo, Stanton, Dennis

“…A combinatorial theory for type R I orthogonal polynomials is given. The ingredients include weighted generalized Motzkin paths, moments, continued fractions, determinants, and histories…”
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Sobolev orthogonal polynomials of high order in two variables defined on product domains Autor Dueñas Ruiz, Herbert, Pinzón-Cortés, Natalia, Salazar-Morales, Omar

“…Let f and g real functions of two variables and We consider the polynomials orthogonal with respect to the inner product…”
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Complex versus real orthogonal polynomials of two variables Autor Xu, Yuan

“…Orthogonal polynomials of two real variables can often be represented in complex variables…”
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Krall-type orthogonal polynomials in several variables Autor Fernández, Lidia, Pérez, Teresa E., Piñar, Miguel A., Xu, Yuan

“…For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional defined in the linear space of polynomials in several variables, explicit formulas of orthogonal…”
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A generalization of formulas for the discriminants of quasi-orthogonal polynomials with applications to hypergeometric polynomials Autor Matsumura, Hideki

“…In this article, we extend the classical framework for computing discriminants of special quasi-orthogonal polynomials…”
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