Ara
Toplam kayıt 8, listelenen: 1-8
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) + ...
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 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 ...
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 ...