Derivative of driving point impedance functions at right half plane

  • Bülent Nafi Örnek Amasya Üniversity
Keywords: Schwarz lemma, analytic function, driving point impedance functions, positive real function

Abstract

The purpose of this paper is to provide a result which concerns with the boundary behaviour of positive real functions. Z(s) = Z(b)+a1(s - b)+ a2 (s - b)2 +... is an analytic function defined in the right half of the s-plane.
We derive inequalities for the modulus of Z(s) function, |Z'(c)|, by assuming the Z(s) function is also analytic at the boundary point s = c on the imaginary axis, where c = iImb and finally, the sharpness of these inequalities is proved.

Published
2020-08-17
How to Cite
Örnek, B. N. (2020). Derivative of driving point impedance functions at right half plane. Gulf Journal of Mathematics, 8(2), 1-9. Retrieved from https://gjom.org/index.php/gjom/article/view/312
Section
Articles