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| 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 $x_i=t^{i-1}$ ($i=0, 1, 2, \cdots$). Hence we obtain the operator product formula for a special Macdonald function $P_{\lambda}(1, t, \cdots, t^{n-1}; q, t)$ when $n$ is finite as well as when $n$ goes to infinity. |
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| Keywords:Mathematical physics, Macdonald function, vertex operator |
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