On the logarithmic coefficients of close to convex functions
Copyright policy )On the logarithmic coefficients of close to convex functions
For $f$ analytic and close to convex in $D=\{z: |z|< 1\}$, we give sharp estimates for the logarithmic coefficients $γ_{n}$ of $f$ defined by $\log \dfrac{f(z)}{z}=2\sum_{n=1}^{\infty} γ_{n}z^{n}$ when $n=1, 2,3$.
Proceedings American Mathematical Society September 2015
- Swansea University United Kingdom
logarithmic coefficients, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), close to convex functions, Mathematics - Complex Variables, Coefficient problems for univalent and multivalent functions of one complex variable, FOS: Mathematics, 30C35 30C50, Complex Variables (math.CV)
logarithmic coefficients, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), close to convex functions, Mathematics - Complex Variables, Coefficient problems for univalent and multivalent functions of one complex variable, FOS: Mathematics, 30C35 30C50, Complex Variables (math.CV)
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