Caratheodory's Inequality on the Right half plane
عنوان مقاله: Caratheodory's Inequality on the Right half plane
شناسه ملی مقاله: JR_IJNAA-11-1_020
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_IJNAA-11-1_020
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
- - - Department of Computer Engineering, Amasya University, Merkez-Amasya ۰۵۱۰۰, Turkey
خلاصه مقاله:
- - - Department of Computer Engineering, Amasya University, Merkez-Amasya ۰۵۱۰۰, Turkey
In this paper, a boundary version of Caratheodory's inequality on the right half plane is investigated. Z(s) is an analytic function defined in the right half of the s-plane.We derive inequalities for the modulus of Z(s) function, |Z′(۰)|, by assuming the Z(s) function is also analytic at the boundary point s = ۰ on the imaginary axis and finally, the sharpness of these inequalities are proved.
کلمات کلیدی: Analytic function, Schwarz lemma, Caratheodory's inequality
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561633/