A new identity linking coefficients of a certain class of homogeneous polynomials and Gauss hypergeometric functions
arXiv:0906.03441 citations
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This is a purely theoretical result in pure mathematics with no immediate application, likely of interest only to specialists in hypergeometric functions or polynomial theory.
The authors discovered a new identity linking coefficients of a class of homogeneous polynomials to Gauss hypergeometric functions, providing a direct proof.
In investigating the properties of a certain class of homogeneous polynomials, we discovered an identity satisfied by their coefficients which involves simple 2F1 Gauss hypergeometric functions. This result appears to be new and we supply a direct proof. The simplicity of the identity is suggestive of a deeper result.