. C O ] 3 1 M ar 1 99 9 Formulas for special cases of Macdonald polynomials Mike
نویسنده
چکیده
An explicit expansion for the Macdonald polynomials of the form H (32 a 1 b) [X; q, t] and H (41 k) [X; q, t] in terms of Hall-Littlewood symmetric functions is presented. The expansion gives a proof of a symmetric function operator that adds a row of size 3 to Macdonald polynomials of the form H (2 a 1 b) [X; q, t] and another operator that adds a row of size 4 to Macdonald polynomials of only one column. In addition, an expression for an operator that removes a row of size k from a Macdonald polynomial is presented.
منابع مشابه
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