Coefficient Problem for Certain Classes of Analytic Functions using Hankel Determinant
B. Srutha Keerthi1, S. Prema2
1B. Srutha Keerthi, School of Advanced Sciences Mathematics Division, VIT University, Chennai Campus,Vandalur, Kelambakkam, Chennai – 600 127
2S. Prema, Department of Mathematics,SRM Institute of Science and Technology,Chennai – 600 089
Manuscript received on 02 October 2019 | Revised Manuscript received on 13 October 2019 | Manuscript Published on 29 June 2020 | PP: 301-307 | Volume-8 Issue-10S2 August 2019 | Retrieval Number: J105408810S19/2019©BEIESP | DOI: 10.35940/ijitee.J1054.08810S19
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we introduce some classes of analytic-univalent functions and for any real µ, determine the sharp upper bounds of the functional |α2α4-μ23| for the functions of the formƒ(Z)=Z+∑αKZK k=2 belonging to such classes in the unit disc E = {z : |z| <1}.
Keywords: Analytic Functions, Functions With Positive Real Part, Starlike Functions With Respect to Symmetric Points, Convex Functions With Respect to Symmetric Points, Hankel Determinant.
Scope of the Article: Applied Mathematics and Mechanics