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{\(q\)}-analogues of the sums of consecutive integers, squares, cubes, quarts and quints

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Publication:1773183
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zbMath1064.33014MaRDI QIDQ1773183

Michael J. Schlosser

Publication date: 25 April 2005

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/124704


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)


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Combinatorial interpretations of the \(q\)-Faulhaber and \(q\)-Salié coefficients, New approach to twisted \(q\)-Bernoulli polynomials, On the \(q\)-extension of Euler and Genocchi numbers, A $q$-analogue for sums of powers, Summation formulas of \(q\)-hyperharmonic numbers, Some notes on the \((q, t)\)-Stirling numbers, A new \(q\)-analogue of the sum of cubes, On a \(p\)-adic interpolation function for the \(q\)-extension of the generalized Bernoulli polynomials and its derivative, Faulhaber's theorem on power sums, Twin Nicomachean q-identities and conjectures for the associated discriminants, polynomials, and inequalities, A \(q\)-analogue of Zhang's binomial coefficient identities



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