2082

Univalent criteria of integral operators

دكتري تخصصي

رياضي محض گرايش آناليز

مركز تحصيلات تكميلي

1403

1403/07/01

دكتر ولي سلطاني مسيح، دكتر هرمز رحمتيان

Loewner chain, analytic function, integral operator, univalence criteria

The subject of this thesis is the investigation of univalence criteria for a specific class of functions defined by an integral operator. In this study, a new criterion is introduced using the Leonhard chain, providing sufficient conditions for determining the univalence of the integral function. These conditions are derived using techniques similar to those employed in previous studies. The main findings of this research include the establishment of conditions that are applicable not only to the integral operator defined as: Fβ(z) = β Z z 0 τ β−1f ′ (τ ) dτ 1/β but also encompass several known results in this field as special cases. This thesis demonstrates the practical application of these conditions through various examples and investigates their effectiveness in identifying univalent cases.

1403/07/22

ابراهيمي

76260