Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of Al-Salam–Carlitz I polynomials

Journal of Physics A General Physics ◽

10.1088/0305-4470/38/47/005 ◽

2005 ◽

Vol 38 (47) ◽

pp. 10107-10121 ◽

Author(s):

E H Doha ◽

H M Ahmed

Keyword(s):

Recurrence Relations ◽

Efficient Algorithms ◽

Connection Coefficients ◽

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Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of quantum classical orthogonal polynomials

Journal of Advanced Research ◽

10.1016/j.jare.2010.07.001 ◽

2010 ◽

Vol 1 (3) ◽

pp. 193-207

Author(s):

Eid H. Doha ◽

Hany M. Ahmed

Keyword(s):

Orthogonal Polynomials ◽

Recurrence Relations ◽

Efficient Algorithms ◽

Classical Orthogonal Polynomials ◽

Connection Coefficients ◽

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On the connection coefficients and recurrence relations arising from expansions in series of Laguerre polynomials

Journal of Physics A General Physics ◽

10.1088/0305-4470/36/20/307 ◽

2003 ◽

Vol 36 (20) ◽

pp. 5449-5462 ◽

Author(s):

E H Doha

Keyword(s):

Recurrence Relations ◽

Laguerre Polynomials ◽

Connection Coefficients ◽

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On the construction of recurrence relations for the expansion and connection coefficients in series of Jacobi polynomials

Journal of Physics A General Physics ◽

10.1088/0305-4470/37/3/010 ◽

2004 ◽

Vol 37 (3) ◽

pp. 657-675 ◽

Author(s):

E H Doha

Keyword(s):

Recurrence Relations ◽

Jacobi Polynomials ◽

Connection Coefficients ◽

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On the connection coefficients and recurrence relations arising from expansions in series of hermite polynomials

Integral Transforms and Special Functions ◽

10.1080/10652460310001600618 ◽

2004 ◽

Vol 15 (1) ◽

pp. 13-29 ◽

Author(s):

E. H. Doha

Keyword(s):

Recurrence Relations ◽

Hermite Polynomials ◽

Connection Coefficients ◽

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Recurrences and explicit formulae for the expansion and connection coefficients in series of ordinary Bessel polynomials

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.10.004 ◽

2008 ◽

Vol 199 (2) ◽

pp. 482-493 ◽

Author(s):

H.M. Ahmed ◽

S.I. El-Soubhy

Keyword(s):

Bessel Polynomials ◽

Connection Coefficients ◽

In Series ◽

Explicit Formulae

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Recurrence relation approach for expansion and connection coefficients in series of classical discrete orthogonal polynomials

Integral Transforms and Special Functions ◽

10.1080/10652460801936747 ◽

2009 ◽

Vol 20 (1) ◽

pp. 23-34

Author(s):

H. M. Ahmed

Keyword(s):

Orthogonal Polynomials ◽

Recurrence Relation ◽

Connection Coefficients ◽

Discrete Orthogonal Polynomials ◽

In Series ◽

Discrete Orthogonal ◽

Relation Approach

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Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00137-4 ◽

1997 ◽

Vol 84 (2) ◽

pp. 257-275 ◽

Author(s):

E. Godoy ◽

A. Ronveaux ◽

A. Zarzo ◽

I. Area

Keyword(s):

Orthogonal Polynomials ◽

Recurrence Relations ◽

Continuous Case ◽

Classical Orthogonal Polynomials ◽

Connection Coefficients

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Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00002-8 ◽

1998 ◽

Vol 89 (2) ◽

pp. 309-325 ◽

Author(s):

I. Area ◽

E. Godoy ◽

A. Ronveaux ◽

A. Zarzo

Keyword(s):

Orthogonal Polynomials ◽

Recurrence Relations ◽

Discrete Case ◽

Classical Orthogonal Polynomials ◽

Connection Coefficients

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Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable on the lattice x(s) = q2s

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(98)00162-9 ◽

1998 ◽

Vol 99 (1-2) ◽

pp. 275-286 ◽

Author(s):

Stanislaw Lewanowicz

Keyword(s):

Orthogonal Polynomials ◽

Recurrence Relations ◽

Discrete Variable ◽

Connection Coefficients

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Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials

Integral Transforms and Special Functions ◽

10.1080/10652460500422270 ◽

2006 ◽

Vol 17 (5) ◽

pp. 329-353 ◽

Author(s):

E. H. Doha ◽

H. M. Ahmed

Keyword(s):

Orthogonal Polynomials ◽

Connection Coefficients ◽

Discrete Orthogonal Polynomials ◽

In Series ◽

Discrete Orthogonal ◽

Explicit Formulae

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