On the some properties of the orthogonal polynomials over a contour with general Jacobi weight
In present work, we continue the study the growth of the orthogonal polynomials over a contour with weight function in the weighted Lebesgue space, when the contour and the weight function having some singularities. We study case, when interference of weight and contour is not satisfied, for piecewi...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/140889 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight / F.G. Abdullaev, G.A. Abdullaev // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 1-27. — Бібліогр.: 40 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862616810653745152 |
|---|---|
| author | Abdullaev, F.G. Abdullaev, G.A. |
| author_facet | Abdullaev, F.G. Abdullaev, G.A. |
| citation_txt | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight / F.G. Abdullaev, G.A. Abdullaev // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 1-27. — Бібліогр.: 40 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | In present work, we continue the study the growth of the orthogonal polynomials over a contour with weight function in the weighted Lebesgue space, when the contour and the weight function having some singularities. We study case, when interference of weight and contour is not satisfied, for piecewise smooth contour with interior zero angles. Also we investigated case of more general contours.
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| first_indexed | 2025-12-07T13:10:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-140889 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T13:10:07Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Abdullaev, F.G. Abdullaev, G.A. 2018-07-17T17:42:50Z 2018-07-17T17:42:50Z 2016 On the some properties of the orthogonal polynomials over a contour with general Jacobi weight / F.G. Abdullaev, G.A. Abdullaev // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 1-27. — Бібліогр.: 40 назв. — англ. 1810-3200 2010 MSC: 30A10, 30C10, 41A17 https://nasplib.isofts.kiev.ua/handle/123456789/140889 In present work, we continue the study the growth of the orthogonal polynomials over a contour with weight function in the weighted Lebesgue space, when the contour and the weight function having some singularities. We study case, when interference of weight and contour is not satisfied, for piecewise smooth contour with interior zero angles. Also we investigated case of more general contours. en Інститут прикладної математики і механіки НАН України Український математичний вісник On the some properties of the orthogonal polynomials over a contour with general Jacobi weight Article published earlier |
| spellingShingle | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight Abdullaev, F.G. Abdullaev, G.A. |
| title | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight |
| title_full | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight |
| title_fullStr | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight |
| title_full_unstemmed | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight |
| title_short | On the some properties of the orthogonal polynomials over a contour with general Jacobi weight |
| title_sort | on the some properties of the orthogonal polynomials over a contour with general jacobi weight |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140889 |
| work_keys_str_mv | AT abdullaevfg onthesomepropertiesoftheorthogonalpolynomialsoveracontourwithgeneraljacobiweight AT abdullaevga onthesomepropertiesoftheorthogonalpolynomialsoveracontourwithgeneraljacobiweight |