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arXiv · 0906.0344

A new identity linking coefficients of a certain class of homogeneous polynomials and Gauss hypergeometric functions

Philip W. Livermore·Glenn R. Ierley
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Abstract

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.

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Philip W. Livermore, Glenn R. Ierley. 2009-06-01. A new identity linking coefficients of a certain class of homogeneous polynomials and Gauss hypergeometric functions. https://arxiv.org/abs/0906.0344

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