Generalizations of two identities of Guo and Yang

DOI10.2989/16073606.2017.1394396zbMath1395.05185OpenAlexW2768067684MaRDI QIDQ5375883

Mircea Merca

Publication date: 17 September 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1394396

zbMATH Keywords

symmetric functions\(q\)-binomial coefficientconvolutions

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) Symmetric functions and generalizations (05E05)

Related Items (5)

Combinatorial interpretations of two identities of Guo and Yang ⋮ Some notes on the \((q, t)\)-Stirling numbers ⋮ Bernoulli numbers and symmetric functions ⋮ Cubic sums of \(q\)-binomial coefficients and the Fibonomial coefficients ⋮ Two symmetric identities involving complete and elementary symmetric functions

Cites Work

• A convolution for complete and elementary symmetric functions
• A \(q\)-analogue of some binomial coefficient identities of Y. Sun
• Bell polynomials and \(k\)-generalized Dyck paths
• A simple bijection between binary trees and colored ternary trees
• On a generalization of Waring's formula
• A generalization of Waring's formula
• A generalization of the symmetry between complete and elementary symmetric functions
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