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Toplam kayıt 9, listelenen: 1-9
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 ...
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) + ...
Some Remarks on Schwarz Lemma at the Boundary
(UNIV NIS, FAC SCI MATH, 2017)
In this paper, a boundary version of the Schwarz lemma is investigated. We consider a function f holomorphic in the unit disc D, f(a) = b, broken vertical bar a broken vertical bar < 1 and broken vertical bar f(z) - alpha ...
Uniqueness Part of the Schwarz Lemma at the Boundary
(UNIV NIS, FAC SCI MATH, 2017)
In this paper, a boundary version of the uniqueness (or, rigidity) part of the Schwarz lemma should be investigated. Also, new results related to inner functions, inner capacities, and bilogaritmic concave majorants are obtained.
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 ...
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 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 ...
ON BOUNDS FOR THE DERIVATIVE OF ANALYTIC FUNCTIONS AT THE BOUNDARY
(Kangwon-Kyungki Mathematical Soc, 2021)
In this paper, we obtain a new boundary version of the Schwarz lemma for analytic function. We give sharp upper bounds for vertical bar f'(0)vertical bar and sharp lower bounds for vertical bar f'(c)vertical bar with c is ...
Sharpened Forms for ?-Spirallike Function of Complex Order on the Boundary
(Amer Inst Physics, 2021)
We present a different version of Schwarz Lemma and estimate the angular derivative of the function zf'(z)/f(z) from below for lambda-spirallike function f(z) of complex order at the boundary of the unit disc D by taking ...