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THE ENERGY FUNCTION WITH RESPECT TO THE ZEROS OF THE EXCEPTIONAL HERMITE POLYNOMIALS

THE ENERGY FUNCTION WITH RESPECT TO THE ZEROS OF THE EXCEPTIONAL HERMITE POLYNOMIALS
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摘要 We examine the energy function with respect to the zeros of exceptional Hermite polynomials. The localization of the eigenvalues of the Hessian is given in the general case.In some special arrangements we have a more precise result on the behavior of the energy function. Finally we investigate the energy function with respect to the regular zeros of the exceptional Hermite polynomials. We examine the energy function with respect to the zeros of exceptional Hermite polynomials. The localization of the eigenvalues of the Hessian is given in the general case.In some special arrangements we have a more precise result on the behavior of the energy function. Finally we investigate the energy function with respect to the regular zeros of the exceptional Hermite polynomials.
机构地区 Department of Analysis
出处 《Acta Mathematica Scientia》 SCIE CSCD 2017年第5期1483-1496,共14页 数学物理学报(B辑英文版)
基金 Supported by Hungarian National Foundation for Scientific Research,Grant No.K-100461
关键词 exceptional Hermite polynomials system of minimal energy energy function partitioned matrices exceptional Hermite polynomials system of minimal energy energy function partitioned matrices
分类号 O [理学]
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