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Toplam kayıt 11, listelenen: 1-10
AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARY
(KOREAN SOC MATHEMATICAL EDUCATION, 2016)
In this paper, a boundary version of the Schwarz lemma for the holomrophic function satisfying f (a) = b, vertical bar a vertical bar < 1, b is an element of C and Rf (z) > alpha, 0 <= alpha < vertical bar b vertical bar ...
INEQUALITIES FOR THE ANGULAR DERIVATIVES OF CERTAIN CLASSES OF HOLOMORPHIC FUNCTIONS IN THE UNIT DISC
(KOREAN MATHEMATICAL SOC, 2016)
In this paper, a boundary version of the Schwarz lemma is investigated. We take into consideration a function f (z) - z+c(p+1)z(p+1)+c(p+2)z(p+2)+... holomorphic in the unit disc and vertical bar f (z)/lambda f(z)+(1-lambda)z ...
ESTIMATES FOR SECOND NON-TANGENTIAL DERIVATIVES AT THE BOUNDARY
(KOREAN MATHEMATICAL SOC, 2017)
In this paper, a boundary version of Schwarz lemma is investigated. We take into consideration a function f(z) holomorphic in the unit disc and f (0) = 0, f'(0) = 1 such that R f'(z) > 1-alpha/2, -1 < alpha < 1, we estimate ...
Sharpened forms of the generalized Schwarz inequality on the boundary
(INDIAN ACAD SCIENCES, 2016)
In this paper, a boundary version of the Schwarz inequality is investigated. We obtain more general results at the boundary. If we know the second coefficient in the expansion of the function f (z) = 1 + c(p)z(P) + ...
REPRESENTATION WITH MAJORANT OF THE SCHWARZ LEMMA AT THE BOUNDARY
(PUBLICATIONS L INSTITUT MATHEMATIQUE MATEMATICKI, 2017)
Let f be a holomorphic function in the unit disc and |f(z)-1| < 1 for |z| < 1. We generalize the uniqueness portion of Schwarz's lemma and provide sufficient conditions on the local behavior of f near a finite set of ...
A SHARP CARATHEODORY'S INEQUALITY ON THE BOUNDARY
(KOREAN MATHEMATICAL SOC, 2016)
In this paper, a generalized boundary version of Caratheodory's inequality for holomorphic function satisfying f (z) <= f (0)+ a(p)z(p) + . . ., and Rf (z) = A for |z| < 1 is investigated. Also, we obtain sharp lower bounds ...
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) ...
SOME RESULTS OF THE CARATHEODORY'S INEQUALITY AT THE BOUNDARY
(KOREAN MATHEMATICAL SOC, 2018)
In this paper, a boundary version of the Caratheodory's inequality is investigated. We shall give an estimate below vertical bar f' (b)vertical bar according to the first nonzero Taylor coefficient of about two zeros, ...
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 ...
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 ...