|
Zapiski Nauchnykh Seminarov POMI, 2001, Volume 276, Pages 41–51
(Mi znsl1411)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
On the regions of values of systems {f(z0),f′(z0),c2} and {f(r),f′(r),f(z0)} in the class of typically real functions
E. G. Goluzina St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
Let T be the class of functions f(z) having the following properties: these functions are regular and typically real in the disk |z|<1 and have the expansions f(z)=z+c2z2+c3z3+⋯. We give algebraic and geometric characterizations of regions of values for the functionals in the class T mentioned in the title. In the same class of functions, we find regions of values for f′(z0) with fixed c2 and f(z0) and for f(z0) with fixed f(r) and f′(r).
Received: 19.02.2001
Citation:
E. G. Goluzina, “On the regions of values of systems {f(z0),f′(z0),c2} and {f(r),f′(r),f(z0)} in the class of typically real functions”, Analytical theory of numbers and theory of functions. Part 17, Zap. Nauchn. Sem. POMI, 276, POMI, St. Petersburg, 2001, 41–51; J. Math. Sci. (N. Y.), 118:1 (2003), 4753–4759
Linking options:
https://www.mathnet.ru/eng/znsl1411 https://www.mathnet.ru/eng/znsl/v276/p41
|
|