Some Identities of Differential Operator and Hermite Polynomials
  
Key Words: identity of differential operator   Hermite polynomials   partial differential equation   Buchnall′s formula   Mehler′s formula   Kibble Slepian′s formula.  
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Author NameAffiliation
Liu Zhiguo Xinxiang Education College
Henan 453000 
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Abstract:
      Some identities of differential operator are obtained by solving a partial differential equation. Approach to Hermite polynomials by these identities, many well known results including Burchnall′s, Mehler′s, and Kibble Slepian′s are derived natrually.
Citation:
DOI:10.3770/j.issn:1000-341X.1998.03.016
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