A new hypergeometric identity linking coefficients of a certain class of homogeneous polynomials motivated from magnetohydrodynamics

Considerations of a particular limit of the magnetohydrodynamic equations, appropriate for the generation of magnetic field in planetary interiors, lead to a set of constraints involving a certain class of homogeneous polynomials. This set is significantly degenerate owing to an identity satisfied by the polynomial coefficients, which involves linear combinations of simple Gauss hypergeometric functions. A generalised version of this new identity is proved by appealing to Wilf–Zeilberger theory.