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Toplam kayıt 28, listelenen: 1-10
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) +... ...
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 Generalization of Schwarz and Caratheodory Inequality on the Boundary
(SOUTHEAST ASIAN MATHEMATICAL SOC-SEAMS, 2016)
In this paper, a boundary version of the Generalization of Schwarz and Caratheodory inequality are investigated. New inequalities of the Caratheodory's and Schwarz inequality at boundary are obtained by taking into account ...
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 ...
Schwarz lemma for driving point impedance functions and its circuit applications
(WILEY, 2019)
In this paper, a boundary version of the Schwarz lemma is investigated for driving point impedance functions and its circuit applications. It is known that driving point impedance function, Z(s) = 1 + c(p)(s - 1)(p) + c(p ...
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) ...