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

作者：Livermore Philip W^*; Ierley Glenn R

来源：Advances in Applied Mathematics, 2009, 43(4): 390-393.

DOI：10.1016/j.aam.2009.06.001

• Magnetohydrodynamics
• Taylor's constraint
• Hypergeometric function
• Homogeneous polynomial
• Wilf-Zeilberger algorithm

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 (2)F(1) Gauss hypergeometric functions. A generalised version of this new identity is proved by appealing to Wilf-Zeilberger theory.

• 出版日期2009-10