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Nakatsu, T. and Takasaki, K. (2010) Integrable Structure of Melting Crystal Model with External Potentials. Advanced Studies in Pure Mathematics, 59, 201-223.

has been cited by the following article:

• TITLE: Operator Product Formula for a Special Macdonald Function

  AUTHORS: Lifang Wang, Ke Wu, Jie Yang

  KEYWORDS: Macdonald Function, Vertex Operator, Heisenberg Algebra

  JOURNAL NAME: Applied Mathematics, Vol.9 No.4, April 30, 2018

  ABSTRACT: In this paper, we construct two sets of vertex operators S+ and S? from a direct sum of two sets of Heisenberg algebras. Then by calculating the vacuum expectation value of some products of vertex operators, we get Macdonald function in special variables xi = t i-1 ( i = 0,1, 2,). Hence we obtain the operator product formula for a special Macdonald function Pλ (1,t,,tn-1;q,t ) when n is finite as well as when n goes to infinity.