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Your search keyword '"Partial fraction decomposition"' showing total 2 results
2 results on '"Partial fraction decomposition"'

1. EVALUATION OF SUMS INVOLVING PRODUCTS OF GAUSSIAN q-BINOMIAL COEFFICIENTS WITH APPLICATIONS.

Author

KILIÇ, EMRAH and PRODINGE, HELMUT

Subjects
*BINOMIAL coefficients, *GAUSSIAN processes, *PARAMETER estimation, *PARTIAL fractions, *MATHEMATICAL functions
Abstract

Sums of products of two Gaussian q-binomial coeficients, are investigated, one of which includes two additional parameters, with a parametric rational weight function. By means of partial fraction decomposition, first the main theorems are proved and then some corollaries of them are derived. Then these q-binomial identities will be transformed into Fibonomial sums as consequences. [ABSTRACT FROM AUTHOR]

Published
2019
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2. On the partial fraction decomposition of the restricted partition generating function.

Author

O'Sullivan, Cormac

Subjects
*PARTIAL fractions, *MATHEMATICAL decomposition, *MATHEMATICAL formulas, *COEFFICIENTS (Statistics), *MATHEMATICAL functions, *MATHEMATICAL analysis
Abstract

We provide new formulas for the coefficients in the partial fraction decomposition of the restricted partition generating function. These techniques allow us to partially resolve a recent conjecture of Sills and Zeilberger. We also describe upcoming work, giving a resolution to Rademacher's conjecture on the asymptotics of these coefficients. [ABSTRACT FROM AUTHOR]

Published
2015
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