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On q-Binomial Coefficients and Some Statistical...
Journal article

On q-Binomial Coefficients and Some Statistical Applications

Abstract

An expression for the number of lattice paths lying between two arbitrary boundaries and having a given area below it, is obtained which is a determinant involving Gaussian polynomials (or q-binomial coefficients). Some statistical applications are pointed out. A q-analogue of the Vandermonde type identity is established for a class of coefficients possessing the q-additive property.

Authors

Handa BR; Mohanty SG

Journal

SIAM Journal on Mathematical Analysis, Vol. 11, No. 6, pp. 1027–1035

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Publication Date

January 1, 1980

DOI

10.1137/0511090

ISSN

0036-1410

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