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Volumn 36, Issue 20, 2003, Pages 5449-5462

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

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EID: 0038176549     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/20/307     Document Type: Article
Times cited : (30)

References (36)
  • 3
    • 0032498749 scopus 로고    scopus 로고
    • Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
    • Álvarez-Nodarse R, Yáñez R J and Dehesa J S 1997 Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials J. Comput. Appl. Math. 89 171-97
    • (1997) J. Comput. Appl. Math. , vol.89 , pp. 171-197
    • Álvarez-Nodarse, R.1    Yáñez, R.J.2    Dehesa, J.S.3
  • 7
    • 0000581486 scopus 로고
    • The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
    • Doha E H 1991 The coefficients of differentiated expansions and derivatives of ultraspherical polynomials J. Comput. Math. Appl. 21 115-22
    • (1991) J. Comput. Math. Appl. , vol.21 , pp. 115-122
    • Doha, E.H.1
  • 8
    • 0041185610 scopus 로고
    • The first and second kinds Chebyshev coefficients of the moments of the general-order derivative of an infinitely differentiable function
    • Doha E H 1994 The first and second kinds Chebyshev coefficients of the moments of the general-order derivative of an infinitely differentiable function Int. J. Comput. Math. 51 21-35
    • (1994) Int. J. Comput. Math. , vol.51 , pp. 21-35
    • Doha, E.H.1
  • 9
    • 0032498763 scopus 로고    scopus 로고
    • The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function
    • Doha E H 1998 The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function J. Comput. Appl. Math. 89 53-72
    • (1998) J. Comput. Appl. Math. , vol.89 , pp. 53-72
    • Doha, E.H.1
  • 10
    • 0037134397 scopus 로고    scopus 로고
    • On the coefficients of differentiated expansions and derivatives of Jacobi polynomials
    • Doha E H 2002 On the coefficients of differentiated expansions and derivatives of Jacobi polynomials J. Phys. A: Math. Gen. 35 3467-78
    • (2002) J. Phys. A: Math. Gen. , vol.35 , pp. 3467-3478
    • Doha, E.H.1
  • 11
    • 0242320225 scopus 로고    scopus 로고
    • On the connection coefficients and recurrence relations arising from expansions in series of Hermite polynomials
    • accepted
    • Doha E H 2003 On the connection coefficients and recurrence relations arising from expansions in series of Hermite polynomials Integral Transforms and Special Functions (accepted)
    • (2003) Integral Transforms and Special Functions
    • Doha, E.H.1
  • 12
    • 0037246330 scopus 로고    scopus 로고
    • Efficient spectral Galerkin-algorithms for direct solution of second-order equations using ultraspherical polynomials
    • Doha E H and Abd-Elhameed W M 2002 Efficient spectral Galerkin-algorithms for direct solution of second-order equations using ultraspherical polynomials SIAM J. Sci. Comput. 24 548-71
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 548-571
    • Doha, E.H.1    Abd-Elhameed, W.M.2
  • 13
    • 0029541854 scopus 로고
    • On the Legendre coefficients of the moments of the general-order derivative of an infinitely differentiable function
    • Doha E H and El-Soubhy S I 1995 On the Legendre coefficients of the moments of the general-order derivative of an infinitely differentiable function Int. J. Comput. Math. 56 107-22
    • (1995) Int. J. Comput. Math. , vol.56 , pp. 107-122
    • Doha, E.H.1    El-Soubhy, S.I.2
  • 15
    • 0015959639 scopus 로고
    • Projection formulas for orthogonal polynomials of a discrete variable
    • Gasper G 1974 Projection formulas for orthogonal polynomials of a discrete variable J. Math. Anal. 45 176-98
    • (1974) J. Math. Anal. , vol.45 , pp. 176-198
    • Gasper, G.1
  • 16
    • 0031247736 scopus 로고    scopus 로고
    • Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
    • Godoy E, Ronveaux A, Zarzo A and Area I 1997 Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: continuous case J. Comput. Appl. Math. 84 257-75
    • (1997) J. Comput. Appl. Math. , vol.84 , pp. 257-275
    • Godoy, E.1    Ronveaux, A.2    Zarzo, A.3    Area, I.4
  • 18
    • 0003253313 scopus 로고
    • Second-order Sturm-Liouville difference equations and orthogonal polynomials
    • Jirari A 1995 Second-order Sturm-Liouville difference equations and orthogonal polynomials Mem. Am. Math. Soc. 113
    • (1995) Mem. Am. Math. Soc. , vol.113
    • Jirari, A.1
  • 19
    • 0000036756 scopus 로고
    • A note on the Chebyshev coefficients of the general-order derivative of an infinitely differentiable function
    • Karageorghis A 1988a A note on the Chebyshev coefficients of the general-order derivative of an infinitely differentiable function J. Comput. Appl. Math. 21 129-32
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 129-132
    • Karageorghis, A.1
  • 20
    • 45549111744 scopus 로고
    • A note on the Chebyshev coefficients of the moments of the general-order derivative of infinitely differentiable function
    • Karageorghis A 1988b A note on the Chebyshev coefficients of the moments of the general-order derivative of infinitely differentiable function J. Comput. Appl. Math. 21 383-6
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 383-386
    • Karageorghis, A.1
  • 21
    • 0032489750 scopus 로고    scopus 로고
    • Representations of orthogonal polynomials
    • Koepf W and Schmersau D 1998 Representations of orthogonal polynomials J. Comput. Appl. Math. 90 57-94
    • (1998) J. Comput. Appl. Math. , vol.90 , pp. 57-94
    • Koepf, W.1    Schmersau, D.2
  • 23
    • 0242351627 scopus 로고    scopus 로고
    • Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials
    • Lewanowicz S 2002 Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials Appl. Math. 29 97-116
    • (2002) Appl. Math. , vol.29 , pp. 97-116
    • Lewanowicz, S.1
  • 24
    • 0034402949 scopus 로고    scopus 로고
    • Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials
    • Lewanowicz S, Godoy E, Area I, Ronveaux A and Zarzo A 2000 Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials Numer. Algorithms 23 31-50
    • (2000) Numer. Algorithms , vol.23 , pp. 31-50
    • Lewanowicz, S.1    Godoy, E.2    Area, I.3    Ronveaux, A.4    Zarzo, A.5
  • 28
    • 0040591543 scopus 로고
    • The numerical solution of linear recurrence relations
    • Oliver J 1969 The numerical solution of linear recurrence relations Numer. Math. 11 349-60
    • (1969) Numer. Math. , vol.11 , pp. 349-360
    • Oliver, J.1
  • 29
    • 0001324079 scopus 로고
    • On the Legendre coefficients of a general-order derivative of an infinitely differentiable function
    • Phillips T N 1988 On the Legendre coefficients of a general-order derivative of an infinitely differentiable function IMA J. Numer. Anal. 8 455-9
    • (1988) IMA J. Numer. Anal. , vol.8 , pp. 455-459
    • Phillips, T.N.1
  • 31
    • 0002857683 scopus 로고
    • Recurrence relations for connection coefficients between two families of orthogonal polynomials
    • Ronveaux A, Zarzo A and Godoy E 1995 Recurrence relations for connection coefficients between two families of orthogonal polynomials J. Comput. Appl. Math. 62 67-73
    • (1995) J. Comput. Appl. Math. , vol.62 , pp. 67-73
    • Ronveaux, A.1    Zarzo, A.2    Godoy, E.3
  • 32
  • 33
    • 0039406287 scopus 로고
    • A modification of Miller's recurrence algorithms
    • Scraton R E 1972 A modification of Miller's recurrence algorithms BIT 12 242-51
    • (1972) BIT , vol.12 , pp. 242-251
    • Scraton, R.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.