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Volumn 89, Issue 1, 1998, Pages 155-170

Expansions in series of orthogonal hypergeometric polynomials

Author keywords

Expansions of polynomials; Hypergeometric differential equation; Orthogonal polynomials

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; NUMERICAL ANALYSIS;

EID: 0032498758     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00243-4     Document Type: Article
Times cited : (39)

References (22)
  • 1
    • 0006327437 scopus 로고
    • The Bessel polynomials
    • [1] W. Al-Salam, The Bessel polynomials, Duke Math. J. 24 (1957) 529.
    • (1957) Duke Math. J. , vol.24 , pp. 529
    • Al-Salam, W.1
  • 3
    • 85033886834 scopus 로고    scopus 로고
    • Modified Clebsh-Gordan-type linearization relations for products of discrete hypergeometric polynomials
    • accepted
    • [3] R. Álvarez-Nodarse, R.J. Yañez, J.S. Dehesa, Modified Clebsh-Gordan-type linearization relations for products of discrete hypergeometric polynomials, J. Comput. Appl. Math., accepted.
    • J. Comput. Appl. Math.
    • Álvarez-Nodarse, R.1    Yañez, R.J.2    Dehesa, J.S.3
  • 4
    • 0003262411 scopus 로고
    • Orthogonal Polynomials and Special Functions, Regional Conference
    • SIAM, Philadelphia
    • [4] R. Askey. Orthogonal Polynomials and Special Functions, Regional Conference in Applied Mathematics, Vol. 21, SIAM, Philadelphia, 1975.
    • (1975) Applied Mathematics , vol.21
    • Askey, R.1
  • 5
    • 84971918270 scopus 로고
    • Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients
    • [5] R. Askey, G. Gasper, Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients. Proc. Cambridge Phil. Soc. 70 (1971) 243.
    • (1971) Proc. Cambridge Phil. Soc. , vol.70 , pp. 243
    • Askey, R.1    Gasper, G.2
  • 7
    • 84987111623 scopus 로고
    • Evaluation of two-center, two-and three-electron integrals involving correlation factors over Slater-type orbitals. I. Basic integrals
    • [7] J. Budzinski, Evaluation of two-center, two-and three-electron integrals involving correlation factors over Slater-type orbitals. I. Basic integrals, Internat. J. Quantum Chem. 41 (1992) 339.
    • (1992) Internat. J. Quantum Chem. , vol.41 , pp. 339
    • Budzinski, J.1
  • 8
    • 84968469828 scopus 로고
    • On Lommel and Bessel polynomials
    • [8] D. Dickinson, On Lommel and Bessel polynomials, Proc. Amer. Math. Soc. 5 (1954) 946.
    • (1954) Proc. Amer. Math. Soc. , vol.5 , pp. 946
    • Dickinson, D.1
  • 10
    • 84877930399 scopus 로고    scopus 로고
    • Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: The continuous case
    • accepted
    • [10] E. Godoy, A. Ronveaux, A. Zarzo, I. Area, Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: the continuous case. J. Comput. Appl. Math., accepted.
    • J. Comput. Appl. Math.
    • Godoy, E.1    Ronveaux, A.2    Zarzo, A.3    Area, I.4
  • 12
    • 0003362846 scopus 로고
    • Bessel polynomials
    • [12] E. Grosswald, Bessel polynomials, Lecture Notes in Math. vol. 698 (1978) pp. 1-182.
    • (1978) Lecture Notes in Math. , vol.698 , pp. 1-182
    • Grosswald, E.1
  • 14
    • 84966227705 scopus 로고
    • A new class of orthogonal polynomials: The Bessel polynomials
    • [14] H.L. Krall, O. Frink, A new class of orthogonal polynomials: the Bessel polynomials, Trans. Amer. Math. Soc. 65 (1949) 100.
    • (1949) Trans. Amer. Math. Soc. , vol.65 , pp. 100
    • Krall, H.L.1    Frink, O.2
  • 21
    • 0002857683 scopus 로고
    • Recurrence relation for connection coefficients between two families of orthogonal polynomials
    • [21] A. Ronveaux, A. Zarzo, E. Godoy, Recurrence relation for connection coefficients between two families of orthogonal polynomials. J. Comput. Appl. Math. 62 (1995) 67.
    • (1995) J. Comput. Appl. Math. , vol.62 , pp. 67
    • Ronveaux, A.1    Zarzo, A.2    Godoy, E.3
  • 22
    • 21444444842 scopus 로고    scopus 로고
    • Results for some inversion problems for classical continuous and discrete orthogonal polynomials
    • [22] A. Zarzo, I. Area, E. Godoy, A. Ronveaux, Results for some inversion problems for classical continuous and discrete orthogonal polynomials, J. Phys. A 30 (1997) L35.
    • (1997) J. Phys. A , vol.30
    • Zarzo, A.1    Area, I.2    Godoy, E.3    Ronveaux, A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.