Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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TRIPLE SYMMETRIC IDENTITIES FOR w-CATALAN POLYNOMIALS

  • Kim, Dae San (Department of Mathematics Sogang University) ;
  • Kim, Taekyun (Department of Mathematics, College of Science Tianjin Polytechnic University)
  • Received : 2016.06.29
  • Published : 2017.07.01
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Abstract

In this paper, we introduce w-Catalan polynomials as a generalization of Catalan polynomials and derive fourteen basic identities of symmetry in three variables related to w-Catalan polynomials and analogues of alternating power sums. In addition, specializations of one of the variables as one give us new and interesting identities of symmetry even for two variables. The derivations of identities are based on the p-adic integral expression for the generating function of the w-Catalan polynomials and the quotient of p-adic integrals for that of the analogues of the alternating power sums.

Keywords

Acknowledgement

Supported by : Tianjin polytechnic University

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