Operator Product Formula for a Special Macdonald Function

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DOI: 10.4236/am.2018.94033    744 Downloads   1,422 Views  
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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.

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Wang, L. , Wu, K. and Yang, J. (2018) Operator Product Formula for a Special Macdonald Function. Applied Mathematics, 9, 459-471. doi: 10.4236/am.2018.94033.

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