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系统科学与数学 1988
ON THE EVALUATION OF SOME DETERMINANTS WITH q-BINOMIAL COEFFICIENTS
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Abstract:
This paper investigates the problems of computations for some determinations with q-bino-mial coefficients.Several explicit formulae are presented in which the above mentioned deter-minants are expressed as the products of q-binomial coefficients and fall q-factorials.Theseresults may be used to simplify the generating functions of plane partitions.