Results 1 to 10 of about 127,219 (252)

On the Connection Coefficients of the Chebyshev-Boubaker Polynomials [PDF]

The Scientific World Journal, 2013
The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials.
Paul Barry
doaj   +5 more sources

Connection coefficients of Shannon wavelets

Mathematical Modelling and Analysis, 2006
In this paper the differential properties of Shannon wavelets are investigated. The connection coefficients of Shannon wavelets are explicitly computed with a finite formula up to any order.
C. Cattani
doaj   +6 more sources

Explicit generating series for connection coefficients [PDF]

Discrete Mathematics & Theoretical Computer Science, 2012
This paper is devoted to the explicit computation of generating series for the connection coefficients of two commutative subalgebras of the group algebra of the symmetric group, the class algebra and the double coset algebra. As shown by Hanlon, Stanley
Ekaterina A. Vassilieva
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On linearization and connection coefficients for generalized Hermite polynomials

Journal of Computational and Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamza Chaggara, Wolfram Koepf
exaly   +3 more sources

An alternative approach to compute wavelet connection coefficients

Applied Mathematics Letters, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fatih Bulut
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Connection and linearization coefficients of the Askey–Wilson polynomials

Journal of Symbolic Computation, 2013
The linearization problem is the problem of finding the coefficients C"k(m,n) in the expansion of the product P"n(x)Q"m(x) of two polynomial systems in terms of a third sequence of polynomials R"k(x),P"n(x)Q"m(x)=@?k=0n+mC"k(m,n)R"k(x). The polynomials P"n, Q"m and R"k may belong to three different polynomial families.
W Koepf, M Foupouagnigni
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Connection coefficients and zeros of orthogonal polynomials

Journal of Computational and Applied Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dimitar K Dimitrov
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Connection coefficients between Boas–Buck polynomial sets

Journal of Mathematical Analysis and Applications, 2006
Considering polynomial sets with complex coefficients \[ \{P_n\}_{n\geq 0}\;\text{ with deg}\,P_n=n, \] the authors study the problem of determining the solution to the Connection problem: given two polynomial sets \(\{P_n\}_{n\geq 0},\;\{Q_n\}_{n\geq 0}\), find the coefficients in \(Q_n(x)=\sum_{m=0}^n\, c_m(n)P_m(x)\).
Y Ben Cheikh
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Integer composition, connection Appell constants and Bell polynomials

Journal of Numerical Analysis and Approximation Theory, 2021
We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants. Generalizing, we give an explicit form of the connection coefficients for arbitrary   polynomial sequences and ...
Nataliia Luno
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A recurrence relation for generalised connection coefficients

Journal of Computational Dynamics
We formulate and prove a general recurrence relation that applies to integrals involving orthogonal polynomials and similar functions. A special case are connection coefficients between two sets of orthonormal polynomials, another example is integrals of products of Legendre functions.
Gao, Jing, Iserles, Arieh
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