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Volumn 12, Issue 2, 1996, Pages 161-185

A special class of polynomials orthogonal on the unit circle including the associated polynomials

Author keywords

Associated polynomials; Orthogonal polynomials; Representation of a Carath odory function; Szeg function; Unit circle; Weight function

Indexed keywords


EID: 0030537374     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02433038     Document Type: Article
Times cited : (40)

References (14)
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  • 2
    • 0010827716 scopus 로고
    • Polynomials orthogonal on a circle and their applications
    • YA. L. GERONIMUS (1948): Polynomials orthogonal on a circle and their applications. Zap. Naucno-Issled. Inst. Math. Mekh. Kharkov. Mat. Obshch., 19:35-120. (English translation (1961): Amer. Math. Soc. Transl., 3:1-78.)
    • (1948) Zap. Naucno-issled. Inst. Math. Mekh. Kharkov. Mat. Obshch. , vol.19 , pp. 35-120
    • Geronimus, Y.A.L.1
  • 3
    • 43449095221 scopus 로고
    • YA. L. GERONIMUS (1948): Polynomials orthogonal on a circle and their applications. Zap. Naucno-Issled. Inst. Math. Mekh. Kharkov. Mat. Obshch., 19:35-120. (English translation (1961): Amer. Math. Soc. Transl., 3:1-78.)
    • (1961) Amer. Math. Soc. Transl. , vol.3 , pp. 1-78
  • 6
    • 84968509409 scopus 로고
    • A new class of orthogonal polynomials
    • P. NEVAI (1984): A new class of orthogonal polynomials. Proc. Amer. Math. Soc., 91:409-415.
    • (1984) Proc. Amer. Math. Soc. , vol.91 , pp. 409-415
    • Nevai, P.1
  • 7
    • 0000507578 scopus 로고
    • On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas
    • F. PEHERSTORFER (1992): On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas. J. Approx. Theory, 70:156-190.
    • (1992) J. Approx. Theory , vol.70 , pp. 156-190
    • Peherstorfer, F.1
  • 8
    • 0011619969 scopus 로고
    • Finite perturbations of orthogonal polynomials
    • F. PEHERSTORFER (1992): Finite perturbations of orthogonal polynomials. J. Comput. Appl. Math., 44:275-302.
    • (1992) J. Comput. Appl. Math. , vol.44 , pp. 275-302
    • Peherstorfer, F.1
  • 9
    • 0001306479 scopus 로고    scopus 로고
    • Characterization of orthogonal polynomials with respect to a functional
    • F. PEHERSTORFER, R. STEINBAUER (to appear): Characterization of orthogonal polynomials with respect to a functional, J. Comput. Appl. Math.
    • J. Comput. Appl. Math.
    • Peherstorfer, F.1    Steinbauer, R.2
  • 11
    • 84941455741 scopus 로고
    • Über potenzreihen, die im inneren des einheitskreises beschränkt sind
    • J. SCHUR (1917): Über Potenzreihen, die im Inneren des Einheitskreises beschränkt sind. J. Reine Angew. Math., 147:205-232.
    • (1917) J. Reine Angew. Math. , vol.147 , pp. 205-232
    • Schur, J.1
  • 12
    • 0002593008 scopus 로고
    • Recherches sur les fractions continues
    • T. J. STIELTJES (1884): Recherches sur les fractions continues. Ann. Pac. Sci. Toulouse 8; Oeuvres Complětes, vol. 2, pp. 402-566.
    • (1884) Ann. Pac. Sci. Toulouse , vol.8
    • Stieltjes, T.J.1
  • 13
    • 0001421483 scopus 로고    scopus 로고
    • T. J. STIELTJES (1884): Recherches sur les fractions continues. Ann. Pac. Sci. Toulouse 8; Oeuvres Complětes, vol. 2, pp. 402-566.
    • Oeuvres Complětes , vol.2 , pp. 402-566
  • 14
    • 0040170306 scopus 로고
    • Orthogonal polynomials, 3rd edn
    • Providence, RI: American Mathematical Society
    • G. SZEGÖ (1967): Orthogonal polynomials, 3rd edn. American Mathematical Society Colloquium Publications, vol. 23. Providence, RI: American Mathematical Society.
    • (1967) American Mathematical Society Colloquium Publications , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.