Recurrence relations for the coefficients of the confluent and Gauss hypergeometric functions in the complex plane

Zi-Qiao Xu, Zhong-Xuan Mao, Jing-Feng Tian

For $a,b,c,z,p,\theta \in \mathbb{C}$, where $\mathbb{C}$ is the complex plane, $-c\notin \mathbb{N}\cup \left\{0\right\}$, let \begin{equation*} \mathcal{M}\left( z\right) =\left( 1-…