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On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. III

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Abstract

We study polynomials of higher order orthogonal with weight over domains under the condition that the boundary and weight functions have singularities and do not satisfy the conditions of interference.

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REFERENCES

  1. F. G. Abdullaev, “On some properties of orthogonal polynomials over an area in domains of the complex plane. I,” Ukr. Mat. Zh., 52, No. 12, 1587–1595 (2000).

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  2. F. G. Abdullaev, “On some properties of orthogonal polynomials over an area in domains of the complex plane. II,” Ukr. Mat. Zh., 53, No. 1, 3–13 (2001).

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  3. V. V. Andrievskii, V. I. Belyi, and V. K. Dzyadyk, Conformal Invariants in Constructive Theory of Functions of Complex Variable, World Federation Publishing Company, Atlanta (1995).

    Google Scholar 

  4. V. V. Andrievskii, “Constructive characterization of harmonic functions in domains with quasiconformal boundary,” in: Quasiconformal Continuation and Approximation by Functions in a Set of the Complex Plane [in Russian], Kiev (1985).

  5. F. G. Abdullaev and V. V. Andrievskii, “On orthogonal polynomials over domains with K-quasiconformal boundary,” Izv. Akad. Nauk. Azerb. SSR., Ser. FTM, 1, 3–7 (1983).

    Google Scholar 

  6. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Gostekhizdat, Moscow-Leningrad (1952).

    Google Scholar 

  7. P. P. Belinskii, General Properties of Quasiconformal Mappings [in Russian], Nauka, Novosibirsk (1968).

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  1. Institute of Mathematics and Mechanics, Azerbaijan Academy of Sciences, Azerbaijan

    F. G. Abdullaev

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  1. F. G. Abdullaev
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Abdullaev, F.G. On Some Properties of Orthogonal Polynomials over an Area in Domains of the Complex Plane. III. Ukrainian Mathematical Journal 53, 1934–1948 (2001). https://doi.org/10.1023/A:1015419521005

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  • DOI: https://doi.org/10.1023/A:1015419521005

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