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https://dspace.iiti.ac.in/handle/123456789/6669
| Title: | COEFFICIENT ESTIMATES for SOME CLASSES of FUNCTIONS ASSOCIATED with q-FUNCTION THEORY |
| Authors: | Agrawal, Sarita |
| Issue Date: | 2017 |
| Publisher: | Cambridge University Press |
| Citation: | Agrawal, S. (2017). COEFFICIENT ESTIMATES for SOME CLASSES of FUNCTIONS ASSOCIATED with q-FUNCTION THEORY. Bulletin of the Australian Mathematical Society, 95(3), 446-456. doi:10.1017/S0004972717000065 |
| Abstract: | For every q ∈ (0; 1), we obtain the Herglotz representation theorem and discuss the Bieberbach problem for the class of q-convex functions of order alpha; with 0 ≤ alpha; lt; 1. In addition, we consider the Fekete-Szegö problem and the Hankel determinant problem for the class of -starlike functions, leading to two conjectures for the class of -starlike functions of order alpha; with 0 ≤ alpha; lt; 1. © 2017 Australian Mathematical Publishing Association Inc. |
| URI: | https://doi.org/10.1017/S0004972717000065 https://dspace.iiti.ac.in/handle/123456789/6669 |
| ISSN: | 0004-9727 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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