메뉴 건너뛰기




Volumn 19, Issue 4, 1996, Pages 643-656

Generating New Classes of Orthogonal Polynomials

Author keywords

Linear functionals; Orthogonal polynomials; Quasi orthogonality

Indexed keywords


EID: 0001123472     PISSN: 01611712     EISSN: 16870425     Source Type: Journal    
DOI: 10.1155/S0161171296000919     Document Type: Article
Times cited : (30)

References (19)
  • 1
    • 27944471405 scopus 로고
    • Some sets of orthogonal polynomials
    • Al-Salam, A.Verma. Some sets of orthogonal polynomials. Rev. Tec. Univ. Zulia. 9(2) (1986).
    • (1986) Rev. Tec. Univ. Zulia. , vol.9 , Issue.2
    • Al-Salam, A.V.1
  • 3
    • 0000672705 scopus 로고
    • Classical orthogonal polynomials: A functional approach
    • A. Branquinho, F.Marcellán, J.Petronilho. Classical orthogonal polynomials: A functional approach. Acta Appl. Math. 34(3) (1994). 283–303.
    • (1994) Acta Appl. Math. , vol.34 , Issue.3 , pp. 283-303
    • Branquinho, A.1    Marcellán, F.2    Petronilho, J.3
  • 4
    • 0001060678 scopus 로고
    • On co-recursive orthogonal polynomials
    • T.S.Chihara. On co-recursive orthogonal polynomials. Proc. Amer. Math. Soc. 8. (1957). 899–905.
    • (1957) Proc. Amer. Math. Soc. , vol.8 , pp. 899-905
    • Chihara, T.S.1
  • 6
    • 0001185631 scopus 로고
    • On polynomials orthogonal with respect to numerical sequences and on Hahn’s theorem
    • In Russian
    • YA.L.Geronimus. On polynomials orthogonal with respect to numerical sequences and on Hahn’s theorem. Izv. Akad. Nauk. 4. (1940). 215–228. (In Russian).
    • (1940) Izv. Akad. Nauk. , vol.4 , pp. 215-228
    • Geronimus, Y.A.L.1
  • 8
    • 0001790765 scopus 로고
    • Polynomials orthogonal on a circle and their applications
    • Series 1 Providence, RI
    • YA.L.Geronimus. Polynomials orthogonal on a circle and their applications. Amer. Math. Soc. Transl. Series 1. Vol. 3. Providence, RI (1962) 1–78.
    • (1962) Amer. Math. Soc. Transl. , vol.3 , pp. 1
    • Geronimus, Y.A.L.1
  • 10
    • 27944433016 scopus 로고
    • Differential equations for the Bernshtein-Szegö orthogonal polynomials
    • Z.S.Grinshpun. Differential equations for the Bernshtein-Szegö orthogonal polynomials. Diff. Eq. 26 (5). (1990). 545–550.
    • (1990) Diff. Eq. , vol.26 , Issue.5 , pp. 545-550
    • Grinshpun, Z.S.1
  • 11
    • 0040003296 scopus 로고
    • Orthogonal Polynomials on the Unit Circle and Their Derivatives
    • F.marcellán, P.Maroni. Orthogonal Polynomials on the Unit Circle and Their Derivatives. Constr. Approx. 7. (1991). 341–348.
    • (1991) Constr. Approx. , vol.7 , pp. 341-348
    • Marcellán, F.1    Maroni, P.2
  • 12
    • 0000100482 scopus 로고    scopus 로고
    • Le Calcul des Formes Linéaires et les Polynômes Orthogonaux Semiclassiques
    • M.ALFARO et al. Eds. Lecture Notes in Mathematics 1329. Springer Verlag. Berlin. (1988). 279-290
    • P.Maroni. Le Calcul des Formes Linéaires et les Polynômes Orthogonaux Semiclassiques In “Orthogonal Polynomials and Their Applications”. M.ALFARO et al. Eds. Lecture Notes in Mathematics 1329. Springer Verlag. Berlin. (1988). 279-290.
    • Orthogonal Polynomials and Their Applications
    • Maroni, P.1
  • 13
    • 51249170982 scopus 로고
    • Sur la suite de polynômes orthogonaux associée à la forme u= δc + λ(x – c)-1 L.
    • P.Maroni. Sur la suite de polynômes orthogonaux associée à la forme u= δc + λ(x – c)-1 L. Period. Math. Hung. 21 (3). (1990). 223–248.
    • (1990) Period. Math. Hung. , vol.21 , Issue.3 , pp. 223-248
    • Maroni, P.1
  • 14
    • 0002309582 scopus 로고
    • Une théorie algébrique des polynômes orthogonaux. Application aux polynômes orthogonaux semiclassiques
    • C.BREZINSKI, L.GORI and A.RONVEAUX Eds. J.C.Baltzer AG. Basel IMACS Annals on Computing and Applied Mathematics. 9 (1-4)
    • P.Maroni. Une théorie algébrique des polynômes orthogonaux. Application aux polynômes orthogonaux semiclassiques. In “Orthogonal Polynomials and their Applications”. C.BREZINSKI, L.GORI and A.RONVEAUX Eds. J.C.Baltzer AG. Basel IMACS Annals on Computing and Applied Mathematics. 9 (1-4). (1991).95–130.
    • (1991) Orthogonal Polynomials and their Applications , pp. 95-130
    • Maroni, P.1
  • 16
    • 0010886207 scopus 로고
    • On mechanical quadratures, in particular, with positive coefficients
    • J.A.Shohat. On mechanical quadratures, in particular, with positive coefficients. Trans. Amer. Math. Soc. 42. (1937).461–496.
    • (1937) Trans. Amer. Math. Soc. , vol.42 , pp. 461-496
    • Shohat, J.A.1
  • 17
    • 0003217929 scopus 로고    scopus 로고
    • Orthogonal Polynomials
    • Providence, Rhode Island 1975. (Fourth Edition)
    • G.Szegö. Orthogonal Polynomials. Amer.Math.Soc.Colloq.Publ. Vol. 23. Providence, Rhode Island 1975. (Fourth Edition).
    • Amer.Math.Soc.Colloq.Publ. , vol.23
    • Szegö, G.1
  • 18
    • 0001904553 scopus 로고
    • The connection between systems of polynomials orthogonal with respect to different distribution functions
    • V.B.Uvarov. The connection between systems of polynomials orthogonal with respect to different distribution functions. USSR Compt. Math. Phys. 9. (6) (1969). 33–36.
    • (1969) USSR Compt. Math. Phys. , vol.9 , Issue.6 , pp. 33-36
    • Uvarov, V.B.1
  • 19
    • 84968464964 scopus 로고
    • A characterization of positive quadrature formulae
    • Y.Xu. A characterization of positive quadrature formulae. Math. Compt. 206. (62) (1994). 703–718.
    • (1994) Math. Compt. , vol.206 , Issue.62 , pp. 703-718
    • Xu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.