On a generalization of starlike functions

By Sarita Agrawal. Indagationes mathematicae, 2018

158 citations recorded by the source corpus.

In this paper, we mainly study the order of $q$-starlikeness of the well-known basic hypergeometric function. In addition, we obtain the Bieberbach-type problem for a generalized class of starlike functions. We also discuss the Fekete-szeg\"o and the Hankel determinant problems for the same class of functions.

View Paper: https://www.semanticscholar.org/paper/7adeda392ba23c3035ba3cc8b03016df7bb08153

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Citations in the corpus

• Some general families of q-starlike functions associated with the Janowski functions (2019, methodology): “(see [2]) A function f ∈ S is said to belong to the class Sq of q-starlike functions inU if f (0) = f ′ (0) − 1 = 0 (7)”