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Now showing items 1-10 of 23

#### 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 ...

#### Boundary Analysis for the Derivative of Driving Point Impedance Functions

(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2018)

Four theorems are presented in this brief by performing boundary analysis of the derivative of driving point impedance functions evaluated at the origin. Also, the circuits corresponding to these driving point impedance ...

#### 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 ...

#### 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 ...

#### SOME RESULTS OF THE CARATHEODORY'S INEQUALITY AT THE BOUNDARY

(KOREAN MATHEMATICAL SOC, 2018)

In this paper, a boundary version of the Caratheodory's inequality is investigated. We shall give an estimate below vertical bar f' (b)vertical bar according to the first nonzero Taylor coefficient of about two zeros, ...

#### ANALYTICAL MODEL FOR ESTIMATION OF TEMPERATURE DISTRIBUTION IN PARALLEL AND COUNTER FLOW DOUBLE PIPE HEAT EXCHANGERS

(YILDIZ TECHNICAL UNIV, 2017)

Heat exchangers are a widely used as a device for meeting the heat transfer requirement in industrial applications. Many types of innovative heat exchanger designs have been implemented with the aim of increasing heat ...

#### 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 ...

#### 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) ...

#### Bound Estimates for the Derivative of Driving Point Impedance Functions

(UNIV NIS, FAC SCI MATH, 2018)

In this paper, a boundary analysis is carried out for the derivative of driving point impedance functions, which is mainly used for synthesis of networks containing RL, RC and RLC circuits. It is known that driving point ...