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

Sarita Agrawal

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arXiv · 1705.06957

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

Sarita Agrawal

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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 $α, 0\leα<1$. In addition, we discuss the Fekete-szegö 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 $α, 0\leα<1$.

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Sarita Agrawal. 2017-05-19. Coefficient estimates for some classes of functions associated with $q$-function theory. https://arxiv.org/abs/1705.06957

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