Coefficient estimates for some classes of functions associated with $q$-function theory

Sarita Agrawal

Coefficient estimates for some classes of functions associated with $q$-function theory

Complex Variables 2017-05-22 v1

Authors: Sarita Agrawal

Abstract

In this paper, for every $q\in(0,1)$ , we obtain the Herglotz representation theorem and discuss the Bieberbach type problem for the class of $q$ -convex functions of order $\alpha, 0\le\alpha<1$ . In addition, we discuss the Fekete-szeg\"o problem and the Hankel determinant problem for the class of $q$ -starlike functions, leading to couple of conjectures for the class of $q$ -starlike functions of order $\alpha, 0\le\alpha<1$ .

Keywords

starlike functions special functions q-series and q-analogues

Cite

@article{arxiv.1705.06957,
  title  = {Coefficient estimates for some classes of functions associated with \(q\)-function theory},
  author = {Sarita Agrawal},
  journal= {arXiv preprint arXiv:1705.06957},
  year   = {2017}
}

Comments

12 pages

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