# The second Hankel determinant for alpha-convex functions

The second Hankel determinant for alpha-convex functions Let S denote the class of analytic univalent functions in 𝔻:= {z ϵ ℂ: |z| < 1} normalized so that f z = z + ∑ n = 2 ∞ a n z n . $$f(z)=z+{\sum}_{n=2}^{\infty }{a}_n{z}^n.$$ Let C and S ∗ be the subclasses of S consisting of convex and starlike functions, respectively. For real α, the class M α of alpha-convex functions f ∈ S defined by http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Lithuanian Mathematical Journal Springer Journals

# The second Hankel determinant for alpha-convex functions

, Volume 58 (2) – Jun 2, 2018
7 pages      /lp/springer_journal/the-second-hankel-determinant-for-alpha-convex-functions-xAab5prIBr
Publisher
Springer Journals
Subject
Mathematics; Mathematics, general; Ordinary Differential Equations; Actuarial Sciences; Number Theory; Probability Theory and Stochastic Processes
ISSN
0363-1672
eISSN
1573-8825
DOI
10.1007/s10986-018-9397-0
Publisher site
See Article on Publisher Site

### Abstract

Let S denote the class of analytic univalent functions in 𝔻:= {z ϵ ℂ: |z| < 1} normalized so that f z = z + ∑ n = 2 ∞ a n z n . $$f(z)=z+{\sum}_{n=2}^{\infty }{a}_n{z}^n.$$ Let C and S ∗ be the subclasses of S consisting of convex and starlike functions, respectively. For real α, the class M α of alpha-convex functions f ∈ S defined by

### Journal

Lithuanian Mathematical JournalSpringer Journals

Published: Jun 2, 2018

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