Search
Now showing items 1-4 of 4
Some results for a certain class of holomorphic functions at the boundary of the unit disc
(AMER INST PHYSICS, 2019)
We consider a version of the boundary Schwarz Lemma on a certain class which is denoted by K(alpha). For the function f (z) = z + c(2)z(2) + c(3)z(3) + ... defined in the unit disc E such that the function f (z) belongs ...
APPLICATIONS OF JACK'S LEMMA FOR CERTAIN SUBCLASSES OF HOLOMORPHIC FUNCTIONS ON THE UNIT DISC
(KOREAN MATHEMATICAL SOC, 2019)
In this paper, we give some results on zf' (z)/f(z) for the certain classes of holomorphic functions in the unit disc E = {z : vertical bar z vertical bar< 1} and on partial derivative E {z : vertical bar z vertical bar = ...
Applications of the Jack's lemma for the meromorphic functions
(Springernature, 2021)
In this paper, we give some results on zf'(z)/f(z) for the certain classes of f(z) meromorphic functions. For the function f(z) = 1/z + c(0) + c(1)z + c(2)z(2)+ ... defined in the punctured disc U = {z : 0
NOTE ON SOME CLASSES OF HOLOMORPHIC FUNCTIONS RELATED TO JACK'S AND SCHWARZ'S LEMMA
(Univ Belgrade, Fac Electrical Engineering, 2022)
In this paper we discuss holomorphic mappings f of the unit disc U and corresponding index defined as I-f (z) = zf'(z)/f(z). We are interested in finding f(z) bounds on the growth of functions f and related issues, if there ...