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R. Libera, E. Złotkiewicz (1982)
Early coefficients of the inverse of a regular convex function, 85
A. Schaeffer, D. Spencer (1943)
The coefficients of schlicht functionsDuke Mathematical Journal, 10
P. Todorov (1986)
On the univalent functions starlike with respect to a boundary point, 97
K. Hu (1963)
On Successive Coefficients of Univalent FunctionsJournal of The London Mathematical Society-second Series
M. Tsuji (1959)
Potential theory in modern function theory
(1976)
The sharpening of the difference of the moduli of adjacent coefficients of schlicht functions (in Russian)
H. Yanagihara (2006)
Regions of variability for convex functionsMathematische Nachrichten, 279
L. Branges (1985)
A proof of the Bieberbach conjectureActa Mathematica, 154
Rintaro Ohno, T. Sugawa (2015)
Coefficient estimates of analytic endomorphisms of the unit disk fixing a point with applications to concave functionsKyoto Journal of Mathematics
Y. Leung (1978)
Successive Coefficients of Starlike FunctionsBulletin of The London Mathematical Society, 10
U. Grenander, G. Szegő, M. Kac (1958)
Toeplitz Forms And Their Applications
In this note, we investigate the supremum and the infimum of the functional $$|a_{n+1}|-|a_{n}|$$ | a n + 1 | - | a n | for functions, convex and analytic on the unit disk, of the form $$f(z)=z+a_2z^2+a_3z^3+\cdots .$$ f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ . We also consider the related problem of maximizing the functional $$|a_{n+1}-a_{n}|$$ | a n + 1 - a n | for convex functions f with $$f''(0)=p$$ f ′ ′ ( 0 ) = p for a prescribed $$p\in [0,2].$$ p ∈ [ 0 , 2 ] .
Computational Methods and Function Theory – Springer Journals
Published: Aug 2, 2016
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