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On some properties of the orthogonal polynomials over a contour with general Jacobi weight

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Abstract

In the present work, we continue to study the growth of the orthogonal polynomials over a contour with a weight function in the weighted Lebesgue space, when the contour and the weight function have some singularities. The case where there is no interference of a weight function and a contour is studied. We consider a piecewise smooth contour with interior zero angles and investigate the case of more general contours.

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Authors and Affiliations

  1. Mersin University, Faculty of Arts and Science Department of Mathematics, Mersin, Turkey

    Fahreddin G. Abdullayev

  2. Mersin University, Higher School of Technical Science, Mersin, Turkey

    Gülnare A. Abdullayev

Authors
  1. Fahreddin G. Abdullayev
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  2. Gülnare A. Abdullayev
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Correspondence to Fahreddin G. Abdullayev.

Additional information

Translated from Ukrains’ki˘ı Matematychny˘ı Visnyk, Vol. 13, No. 1, pp. 1–27, January–March, 2016.

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Abdullayev, F.G., Abdullayev, G.A. On some properties of the orthogonal polynomials over a contour with general Jacobi weight. J Math Sci 220, 533–553 (2017). https://doi.org/10.1007/s10958-016-3199-x

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