Difference between revisions of "Relationship between Chebyshev T and hypergeometric 2F1"

Theorem: The following formula holds: $$T_n(x) = {}_2F_1 \left( -n,n ; \dfrac{1}{2}; \dfrac{1-x}{2} \right),$$ where $T_n$ denotes a Chebyshev T polynomial and ${}_2F_1$ denotes the hypergeometric pFq.