Identities involving elementary symmetric functions
S. Chatyrvedi, V. Gupta
TL;DR
This paper introduces a systematic method for deriving identities involving elementary symmetric functions, which also yields new identities for binomial and q-binomial coefficients, enriching combinatorial mathematics.
Contribution
It presents a novel systematic procedure to generate identities involving elementary symmetric functions and related binomial coefficient identities.
Findings
New identities for elementary symmetric functions
New identities for binomial coefficients
New identities for q-binomial coefficients
Abstract
A systematic procedure for generating certain identities involving elementary symmetric functions is proposed. These identities, as particular cases, lead to new identities for binomial and q-binomial coefficients.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Mathematical Theories and Applications