DOI: 10.36347/sjpms

Pages: 129-135

Let ℛ denote the class of all analytic univalent functions �(�) in the unit disk ∆ with � 0 = �′ 0 = 1 and ��′(�) �(�) is starlike. For any fixed �0 in the unit disk and � ∈ ∆, we determine the region of variability � �0, � for ��� � ′(�0 ) �(�0 ) when � ranges over the class ℛ λ = {� ∈ ℛ ∶ �′′ 0 = 2� + 1 }. Keywords: Analytic functions, Schwarz lemma, Variability region.. Mathematics Subject Classification : Primary 30C45