Combinatorial interpretations of the q-Faulhaber and q-Salié coefficients

Author:

Guo Victor J.W.,Rubey Martin,Zeng Jiang

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference9 articles.

1. Sums of powers of integers;Beardon;Amer. Math. Monthly,1996

2. Darinnen die miraculosische Inventiones zu den höchsten Cossen weiters continuirt und profitiert werden;Faulhaber,1631

3. A combinatorial proof of the sum of q-cubes;Garrett;Electron. J. Combin.,2004

4. I.M. Gessel, X.G. Viennot, Determinants, paths, and plane partitions, preprint, 1989

5. A q-analogue of Faulhaber's formula for sums of powers;Guo;Electron. J. Combin.,2004

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1. A note on polynomial expressions for sums of power of integers multiplied by exponential terms;TURKISH JOURNAL OF MATHEMATICS;2019-01-18

2. A $q$-analogue for sums of powers;Acta Arithmetica;2018

3. Proof of a congruence on sums of powers of q-binomial coefficients;International Journal of Number Theory;2016-12-05

4. Faulhaber’s theorem on power sums;Discrete Mathematics;2009-05

5. A new q-analogue of the sum of cubes;Discrete Mathematics;2007-10

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