Articles

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

  • Agota P. HORVATH
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  • Department of Analysis, Budapest University of Technology and Economics, Egry J. u1-3, Budapest, Hungary

Received date: 2015-10-08

  Revised date: 2016-10-20

  Online published: 2017-10-25

Supported by

Supported by Hungarian National Foundation for Scientific Research, Grant No. K-100461.

Abstract

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.

Cite this article

Agota P. HORVATH . THE ENERGY FUNCTION WITH RESPECT TO THE ZEROS OF THE EXCEPTIONAL HERMITE POLYNOMIALS[J]. Acta mathematica scientia, Series B, 2017 , 37(5) : 1483 -1496 . DOI: 10.1016/S0252-9602(17)30086-3

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