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Toplam kayıt 7, listelenen: 1-7
Boundary Schwarz Lemma for Holomorphic Functions
(UNIV NIS, FAC SCI MATH, 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 such that vertical bar R-f vertical bar < 1 for vertical bar 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 ...
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) +... ...
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 ...
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 ...