| WEIGHT FUNCTIONS FOR SOME NEW CLASSES OF ORTHOGONAL POLYNOMIALS |
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| 作者姓名： | D.M.Casesnoves D.Mangeron A.M.Krall D.L.Fernandez |
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| 作者单位： | Real Academia de Ciencias Exactas，Fisicas y Naturales，de Madrid.SPAIN.，Polytechnic Institute of Jassy，Iasi，ROMANIA.，The Pennsylvania State University.Dept.of Mathematics.University Park，Pennsylvania 16802.USA.，IMECC，UNICAMP.Campina，SP.BRASIL. |
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| 摘 要： | This article continue the discussion of finding weight functions for orthogonal polynomials in thtee situations. The Gegenbauer polynoraials are shown to have a distributional weight function.The polynomials of Geronimus 6] which are orthogonal on—1,1]ale explicitely calculated.An application to Pade approximations is made.Two negative situations are mentioned.
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| 收稿时间： | 1981-5-8 |
WEIGHT FUNCTIONS FOR SOME NEW CLASSES OF ORTHOGONAL POLYNOMIALS |
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| D.M.Casesnoves,D.Mangeron,A.M.Krall,D.L.Fernandez.WEIGHT FUNCTIONS FOR SOME NEW CLASSES OF ORTHOGONAL POLYNOMIALS[J].Acta Mathematica Sinica,1983,26(5):559-565. |
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| Abstract: | This article continue the discussion of finding weight functions for orthogonal polynomials in three situations.The Gegenbauer polynomials are shown to have a distributional weight function. The polynomials of Geronimus 6] which are orthogonal on -1,1] are explicitely calculated. An application to Pade approximations is made. Two negative situations are mentioned. |
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