Introduces and proves rank recurrence relations for q-Whittaker and Macdonald operators, with k-th power of q-Whittaker operators expressed via q-deformed binomial distribution and Macdonald relations via Cauchy determinant.
Journal of Physics A: Mathematical and General , abstract =
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Rank recursion for $q$-Whittaker and Macdonald operators
Introduces and proves rank recurrence relations for q-Whittaker and Macdonald operators, with k-th power of q-Whittaker operators expressed via q-deformed binomial distribution and Macdonald relations via Cauchy determinant.