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Orthogonal Polynomials of Several Variables
 Encyclopedia of Mathematics and its Applications
, 2001
"... Abstract. We report on the recent development on the general theory of orthogonal polynomials in several variables, in which results parallel to the theory of orthogonal polynomials in one variable are established using a vectormatrix notation. 1 ..."
Abstract

Cited by 235 (44 self)
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Abstract. We report on the recent development on the general theory of orthogonal polynomials in several variables, in which results parallel to the theory of orthogonal polynomials in one variable are established using a vectormatrix notation. 1
The Askeyscheme of hypergeometric orthogonal polynomials and its qanalogue
, 1998
"... We list the socalled Askeyscheme of hypergeometric orthogonal polynomials and we give a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order differenti ..."
Abstract

Cited by 577 (6 self)
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We list the socalled Askeyscheme of hypergeometric orthogonal polynomials and we give a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order
ORTHOGONAL POLYNOMIALS FOR THE
"... Abstract. This is a continuation of our previous investigations on polynomials orthogonal with respect to the linear functional L: P → C, where L = ∫ 1−1 p(x) dµ(x), dµ(x) = (1 − x2)λ−1/2 exp(iζx) dx, and P is a linear space of all algebraic polynomials. Here, we prove an extension of our previo ..."
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Abstract. This is a continuation of our previous investigations on polynomials orthogonal with respect to the linear functional L: P → C, where L = ∫ 1−1 p(x) dµ(x), dµ(x) = (1 − x2)λ−1/2 exp(iζx) dx, and P is a linear space of all algebraic polynomials. Here, we prove an extension of our pre
General Orthogonal Polynomials
 in “Encyclopedia of Mathematics and its Applications,” 43
, 1992
"... Abstract In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed. ..."
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Cited by 92 (8 self)
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Abstract In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed.
Orthogonal Polynomials
 American Math. Soc. Colloq. Publns
, 2005
"... of the mfunction in the theory of orthogonal ..."
and Orthogonal Polynomials
"... “garcia de galdeano” garcía de galdeano seminario matemático n. 8 PREPUBLICACIONES del seminario matematico 2004 ..."
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“garcia de galdeano” garcía de galdeano seminario matemático n. 8 PREPUBLICACIONES del seminario matematico 2004
CONNECTION TO CLASSICAL ORTHOGONAL POLYNOMIALS
"... Menke points on the real line and their connection to classical orthogonal polynomials ..."
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Menke points on the real line and their connection to classical orthogonal polynomials
More Orthogonal Polynomials as Moments
 MATHEMATICAL ESSAYS IN HONOR OF GIANCARLO
, 1998
"... Classical orthogonal polynomials as moments for other classical orthogonal polynomials are obtained via linear functionals. The combinatorics of the AlSalamChihara polynomials is given, and three classification theorems for generalized moments as orthogonal polynomials are proven. Some combinato ..."
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Cited by 13 (2 self)
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Classical orthogonal polynomials as moments for other classical orthogonal polynomials are obtained via linear functionals. The combinatorics of the AlSalamChihara polynomials is given, and three classification theorems for generalized moments as orthogonal polynomials are proven. Some
Results 1  10
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