Yazar "Akyel, Tugba" için listeleme
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ESTIMATES FOR A CERTAIN SUBCLASS OF HOLOMORPHIC FUNCTIONS
Ornek, Bulent Nafi; Akyel, Tugba (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) ... -
AN IMPROVED LOWER BOUND FOR SCHWARZ LEMMA AT THE BOUNDARY
Ornek, Bulent Nafi; Akyel, Tugba (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 ... -
ON BOUNDS FOR THE DERIVATIVE OF ANALYTIC FUNCTIONS AT THE BOUNDARY
Ornek, Bulent Nafi; Akyel, Tugba (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 ... -
REPRESENTATION WITH MAJORANT OF THE SCHWARZ LEMMA AT THE BOUNDARY
Ornek, Bulent Nafi; Akyel, Tugba (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 ... -
Sharpened Forms for ?-Spirallike Function of Complex Order on the Boundary
Akyel, Tugba; Ornek, Bulent Nafi (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 ... -
Sharpened forms of the generalized Schwarz inequality on the boundary
Akyel, Tugba; Ornek, Bulent Nafi (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
Akyel, Tugba; Ornek, Bulent Nafi (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 ... -
Some results for a certain class of holomorphic functions at the boundary of the unit disc
Ornek, Bulent Nafi; Akyel, Tugba (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 ... -
Uniqueness Part of the Schwarz Lemma at the Boundary
Ornek, Bulent Nafi; Akyel, Tugba (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.
