Results 11 to 20 of about 131,872 (281)
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
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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
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On linearization and connection coefficients for generalized Hermite polynomials
Journal of Computational and Applied Mathematics, 2011 We consider the problem of finding explicit formulas, recurrence relations and sign properties for both connection and linearization coefficients for generalized Hermite polynomials. Most of the computations are carried out by the computer algebra system
Hamza Chaggara, Wolfram Koepf
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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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Connection coefficients and zeros of orthogonal polynomials
Journal of Computational and Applied Mathematics, 2001 We discuss an old theorem of Obrechkoff and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coefficients, zeros and Wronskians of orthogonal ...
Dimitar K Dimitrov
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Connection coefficients between Boas–Buck polynomial sets
Journal of Mathematical Analysis and Applications, 2006 In this paper, a general method to express explicitly connection coefficients between two Boas–Buck polynomial sets is presented. As application, we consider some generalized hypergeometric polynomials, from which we derive some well-known results ...
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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Connection coefficients for Laguerre-Sobolev orthogonal polynomials [PDF]
Journal of Mathematical Analysis and Applications, 2003 19 pages, no figures.-- MSC2000 codes: 33C45, 42C05.MR#: MR1991819 (2004h:33020)Zbl#: Zbl 1033.42027^aLaguerre–Sobolev polynomials are orthogonal with respect to an inner product of the form $$\langle p,q\rangle=\int_0^{\infty}p(x)q(x)x^{\alpha}e^{-x ...
Marcellán, Francisco +3 more
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Zeros of Gegenbauer and Hermite polynomials and connection coefficients [PDF]
Mathematics of Computation, 2004 In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials.
Godoy, E. +10 more
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Bijective evaluation of the connection coefficients of the double coset algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 This paper is devoted to the evaluation of the generating series of the connection coefficients of the double cosets of the hyperoctahedral group. Hanlon, Stanley, Stembridge (1992) showed that this series, indexed by a partition $ν$, gives the spectral ...
Alejandro H. Morales +1 more
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