Recurrence relations of coefficients involving hypergeometric function with an application

Zhen-Hang Yang

For $a,b,p\in \mathbb{R}$, $-c\notin \mathbb{N}\cup \left\{0\right\}$ and $\theta \in \left[-1,1\right]$, let \begin{equation*} U_{θ}\left( x\right) =\left( 1-θx\right) ^{p}F\left(…