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Volumn 182, Issue 1, 2005, Pages 165-172

Orthogonality properties of the Hermite and related polynomials

Author keywords

Biorthogonal functions; Exponential operators; Gauss Weierstrass transform; Generating functions; Hermite polynomials; Hermite Kamp de F riet (HKdF) polynomials; Higher order Hermite (or Gould Hopper) polynomials; Integral formulas; Laguerre polynomials; Multi index Hermite polynomials; Operational identities; Orthogonality property

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; STATISTICAL METHODS;

EID: 19644385333     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.10.021     Document Type: Article
Times cited : (41)

References (9)
  • 2
    • 0040788515 scopus 로고    scopus 로고
    • Generalized polynomials operational identities and their applications
    • G. Dattoli Generalized polynomials operational identities and their applications, J. Comput. Appl. Math. 118 2000 111-123
    • (2000) J. Comput. Appl. Math. , vol.118 , pp. 111-123
    • Dattoli, G.1
  • 3
    • 2942558811 scopus 로고    scopus 로고
    • Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions
    • G. Dattoli B. Germano P.E. Ricci Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions Appl. Math. Comput. 154 2004 219-227
    • (2004) Appl. Math. Comput. , vol.154 , pp. 219-227
    • Dattoli, G.1    Germano, B.2    Ricci, P.E.3
  • 4
    • 19644377103 scopus 로고    scopus 로고
    • Higher order Hermite polynomials, associated bi-orthogonal functions and generalized heat equations
    • G. Dattoli, B. Germano, P.E. Ricci, Higher order Hermite polynomials, associated bi-orthogonal functions and generalized heat equations, Integral Transform. Spec. Funct. 16 (2005).
    • (2005) Integral Transform. Spec. Funct. , vol.16
    • Dattoli, G.1    Germano, B.2    Ricci, P.E.3
  • 6
    • 78650749201 scopus 로고
    • Operational formulas connected with two generalizations of Hermite polynomials
    • H.W. Gould A.T. Hopper Operational formulas connected with two generalizations of Hermite polynomials Duke Math. J. 29 1962 51-63
    • (1962) Duke Math. J. , vol.29 , pp. 51-63
    • Gould, H.W.1    Hopper, A.T.2
  • 7
    • 38249011646 scopus 로고
    • A representation theory for solutions of a higher-order heat equation. I
    • D.T. Haimo C. Markett A representation theory for solutions of a higher-order heat equation. I J. Math. Anal. Appl. 168 1992 89-107
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 89-107
    • Haimo, D.T.1    Markett, C.2
  • 8
    • 38249010207 scopus 로고
    • A representation theory for solutions of a higher-order heat equation. II
    • D.T. Haimo C. Markett A representation theory for solutions of a higher-order heat equation. II J. Math. Anal. Appl. 168 1992 289-305
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 289-305
    • Haimo, D.T.1    Markett, C.2
  • 9
    • 0004162942 scopus 로고
    • Halsted Press (Ellis Horwood Limited, Chichester), Wiley, New York, Chichester, Brisbane and Toronto
    • H.M. Srivastava, H.L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), Wiley, New York, Chichester, Brisbane and Toronto, 1984.
    • (1984) A Treatise on Generating Functions
    • Srivastava, H.M.1    Manocha, H.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.