Orthonormal polynomials with exponential-type weights |
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Authors: | HS Jung R Sakai |
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Institution: | aDepartment of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea;bFukami 675, Ichiba-cho, Toyota-city, Aichi 470-0574, Japan |
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Abstract: | Let and let wρ(x)|x|ρexp(-Q(x)), where and is an even function. In this paper we consider the properties of the orthonormal polynomials with respect to the weight , obtaining bounds on the orthonormal polynomials and spacing on their zeros. Moreover, we estimate An(x) and Bn(x) defined in Section 4, which are used in representing the derivative of the orthonormal polynomials with respect to the weight . |
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Keywords: | Exponential weight Orthonormal polynomials Zeros |
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