Konu "Jack's lemma" için listeleme
Toplam kayıt 9, listelenen: 1-9
-
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 -
BEHAVIOR OF HOLOMORPHIC FUNCTIONS ON THE BOUNDARY OF THE UNIT DISC
(KOREAN SOC MATHEMATICAL EDUCATION, 2017)In this paper, we establish lower estimates for the modulus of the non tangential derivative of the holomorphic function f (z) at the boundary of the unit disc. Also, we shall give an estimate below vertical bar f ''(b)vertical ... -
Behavior of Meromorphic Functions at the Boundary of the Unit Disc
(UNIV NIS, FAC SCI MATH, 2017)In this paper, a boundary version of the Schwarz lemma for meromorphic functions is investigated. The modulus of the angular derivative of the meromorphic function I-n f(z) = 1/z + 2(n)c(0) + 3(n)c(1)z+4(n)c(2)z(2) +... ... -
ESTIMATES FOR A CERTAIN SUBCLASS OF HOLOMORPHIC FUNCTIONS
(KOREAN SOC MATHEMATICAL EDUCATION, 2019)In this paper, a version of the boundary Schwarz Lemma for the holomorphic function belonging to N(alpha) is investigated. For the function f(z) = z + c(2)z(2) + c(3)z(3) + ... which is defined in the unit disc where f(z) ... -
ESTIMATES FOR HOLOMORPHIC FUNCTIONS CONCERNED WITH JACK'S LEMMA
(PUBLICATIONS L INSTITUT MATHEMATIQUE MATEMATICKI, 2018)We investigate a boundary version of the Schwarz lemma for classes H(alpha). Also, we estimate a modulus of the angular derivative of f(z) function at the boundary point b with f (b) = b/ (beta)root 2, 0 < beta <= 1. The ... -
NEW ESTIMATES FOR MEROMORPHIC FUNCTIONS
(Publications L Institut Mathematique Matematicki, 2021)A boundary version of the Schwarz lemma for meromorphic functions is investigated. For the function I-n f(z) = 1/z + Sigma(infinity)(k=2) k(n)c(k-2)z(k-2), belonging to the class of W, we estimate from below the modulus ... -
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 ... -
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 ...
