Abstract
For $-1 \leq B < A \leq 1$, conditions on $A$, $B$, $a$, $c$ are determined that ensure the confluent hypergeometric function $\Phi(a;c;z)$ satisfies the subordination $\Phi(a; c; z) \prec (1+Az)/ (1+Bz)$. This gives rise to conditions for $(c/a)( \Phi(a; c; z)-1)$ to be close-to-convex, $\Phi(a; c; z)$ to be Janowski convex, and $z\Phi(a; c; z)$ to be Janowski starlike.
Citation
Rosihan M. Ali. Saiful R. Mondal. V. Ravichandran. "On the Janowski convexity and starlikeness of the confluent hypergeometric function." Bull. Belg. Math. Soc. Simon Stevin 22 (2) 227 - 250, may 2015. https://doi.org/10.36045/bbms/1432840860
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