A \(q\)-analog of a general rational sum identity

DOI10.1007/s13370-011-0061-7zbMath1276.05009OpenAlexW2160795603MaRDI QIDQ384774

Chunwei Song, Mark Shattuck, Toufik Mansour

Publication date: 28 November 2013

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-011-0061-7

zbMATH Keywords

\(q\)-identitypartial fractionscombinatorial proof\(q\)-inversion

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (5)

Combinatorial identities from contour integrals of rational functions ⋮ Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums ⋮ On a general \(q\)-identity ⋮ Extensions of MacMahon's sums of divisors ⋮ Symmetry identities of \(q\)-Bernoulli polynomials of the second kind

Cites Work

• Determinant expressions for \(q\)-harmonic congruences and degenerate Bernoulli numbers
• Some identities involving rational sums
• Identities involving rational sums by inversion and partial fraction decomposition
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