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SETSCI - Volume 3 (2018)
ISAS2018-Winter - 2nd International Symposium on Innovative Approaches in Scientific Studies, Samsun, Turkey, Nov 30, 2018

Some results of the driving point impedance functions (ISAS2018-Winter_36)
Bülent Nafi ÖRNEK1*, Canan ORAL2, Timur DÜZENLİ3
1Amasya University, Amasya, Turkey
2Amasya University, Amasya, Turkey
3Amasya University, Amasya, Turkey
* Corresponding author: nafi.ornek@amasya.edu.tr
Published Date: 2019-01-14   |   Page (s): 196-201   |    10     3

ABSTRACT In this paper, a boundary version of the Schwarz lemma has been considered for driving point impedance functions
at s = 0 point of the imaginary axis. Accordingly, under Z(0) 0 = condition, the modulus of the derivative of the Z s ( )
function has been considered from below. Here, Z a ( ) and
( ) ( )
pZ a p
coefficients of the Taylor expansion of the
Z s b c s a ( ) ... = + - + p( )p
function have been used in the obtained inequalities. The sharpness of these inequalities has also
been proved. It is also shown that simple LC tank circuits and higher order filters are synthesized using the unique DPI
functions obtained in each theorem.  
KEYWORDS Schwarz lemma, Analytic function, Circuit
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