Results 51 to 60 of about 5,592 (152)

Hermite and Gegenbauer polynomials in superspace using Clifford analysis

, 2007
The Clifford-Hermite and the Clifford-Gegenbauer polynomials of standard Clifford analysis are generalized to the new framework of Clifford analysis in superspace in a merely symbolic way.
Bartocci C, Berezin F A, Brackx F, Brackx F, Cnops J, De Bie H, De Bie H, De Bie H, De Bie H Sommen F, De Bie H Sommen F, Delanghe R, F Sommen, Gilbert J E, H De Bie, Leites D A, Leites D A   +15 more
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Coupling coefficients of SO(n) and integrals over triplets of Jacobi and Gegenbauer polynomials

, 2003
The expressions of the coupling coefficients (3j-symbols) for the most degenerate (symmetric) representations of the orthogonal groups SO(n) in a canonical basis (with SO(n) restricted to SO(n-1)) and different semicanonical or tree bases [with SO(n ...
, , , , , Abramowitz M, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Alisauskas S, Baird B, Barut A O, Bateman G, Biedenharn L C, Biedenharn L C, Biedenharn L C, Gasper G, Gavrilik A M, Gavrilik A M, Gel'fand I M, Gel'fand I M, Hormeß M, Izmest'ev A A, Jucys A P, Junker G, Kampé de Fériet J, Kildyushov M S, Klimyk A U, Kuznetsov G I, Kuznetsov G I, Lohe M A, Moshinsky M, Moshinsky M, Norvaisas E, Norvaisas E, Norvaisas E, Quesne C, Sigitas Alisauskas, Slater L J, Srinavasa Rao K, van der Jeugt J, Varshalovich D A, Vilenkin N J, Vilenkin N Ya, Vilenkin N Ya   +49 more
core   +1 more source

Orthogonal polynomials for the oscillatory-Gegenbauer weight [PDF]

Publications de l'Institut Mathematique, 2008
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) d?(x), d?(x) = (1-x?)?-1/2 exp(i?x) dx, and P is a linear space of all algebraic polynomials. Here, we prove an extension of our previous existence theorem for rational ? ? (-1/2,0], give some hypothesis on
Gradimir Milovanovic, Aleksandar Cvetkovic, Zvezdan Marjanovic   +2 more
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An application of Gegenbauer polynomials in queueing theory

Journal of Computational and Applied Mathematics, 1993
AbstractThe symmetric coupled processor model is a queueing system in which a server divides his service capacity between two independent streams of customers, unless one queue is empty, in which case the full capacity is granted to the other queue.
Ellen De Waard, Gerard Hooghiemstra, H. Bavinck   +2 more
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Accurate computation and tabulation of the scalar Green function for bi-anisotropic media and its derivatives [PDF]

, 2012
C
Bogaert, Ignace
core   +2 more sources

The Gegenbauer polynomials and typically real functions

Journal of Computational and Applied Mathematics, 2003
AbstractLinear and nonlinear coefficient problems for some class of typically real functions are studied. Different inequalities for the Gegenbauer polynomials appear to be very useful.
K. Kiepiela, I. Naraniecka, Jan Szynal
openaire   +2 more sources

A four dimensional Bernstein Theorem

, 2019
We prove a four dimensional version of the Bernstein Theorem, with complex polynomials being replaced by quaternionic polynomials. We deduce from the theorem a quaternionic Bernstein's inequality and give a formulation of this last result in terms of ...
Perotti, Alessandro
core  

On an umbral treatment of Gegenbauer, Legendre and Jacobi polynomials

International Mathematical Forum, 2017
Special polynomials, ascribed to the family of Gegenbauer, Legen- dre, and Jacobi and of their associated forms, can be expressed in an operational way, which allows a high degree of flexibility for the for- mulation of the relevant theory. We develop a point of view based on an umbral type formalism, exploited in the past, to study some aspects of the
Giuseppe Dattoli, Bruna Germano, Silvia Licciardi, Maria Renata Martinelli   +3 more
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Quantum algebra approach to q Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1995
AbstractQuantum algebras provide a natural algebraic setting for q special functions. The matrix elements of certain algebra generators in irreducible representations are in fact expressible in terms of q hypergeometric series. Taking the quantum algebra U((1,1)) as example, we shall show that its metaplectic representation provides a group-theoretic ...
Roberto Floreanini, Luc Vinet
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Results on the associated Jacobi and Gegenbauer polynomials

Journal of Computational and Applied Mathematics, 1993
AbstractRecurrence relations for the coefficients of the Jacobi polynomial form of the associated Jacobi polynomials P(α,β)n(x; c) are given. For certain values of α, β, explicit formulae for these coefficients are obtained. In particular, the classical Watson formula for the first associated Gegenbauer polynomials is generalized.
openaire   +2 more sources