Journal of Guangxi Normal University(Natural Science Edition) ›› 2015, Vol. 33 ›› Issue (4): 73-80.doi: 10.16088/j.issn.1001-6600.2015.04.013

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Hermite Polynomials Related to the Dunkl-Clifford Analysis

LI Shan-shan1, FEI Ming-gang2   

  1. 1. College of Computer Science and Technology, Southwest University for Nationalities,Chengdu Sicuan 610041, China;
    2. School of Mathematical Sciences, University of Electronic Scienceand Technology of China, Chengdu Sicuan 611731, China
  • Received:2015-03-16 Online:2015-12-25 Published:2018-09-21

Abstract: In this paper, based on the classical method from Clifford analysis and a spherical representation of Dunkl-Dirac operator, a generalization of the classical Hermite polynomials related to the framework of Dunkl operators is presented. For application, the associated differential equation about Hermite polynomials in Dunkl-Clifford analysis setting is established.

Key words: reflection group, Dunkl-Dirac operator, Hermite polynomials

CLC Number: 

  • O174.22
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