On Convex Functions with Complex Order Through Bounded Boundary Rotation

S. Melike Aydoğan*, F. Müge Sakar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Let F be the class of functions f(z) = z+ a2z2+ ⋯ which are analytic in D= { z: | z| < 1 } and satisfies the condition 1+1bzf′′(z)f′(z)=pt(z),(b≠0,b∈C,z∈D)where pt(z)=(t4+12)p1(z)-(t4-12)p2(z), t≥ 2 , p1(z) , p2(z) ∈ P. P is the class of analytic functions with the positive real part (Caratheodory class) then this function will be called convex function by means of bounded boundary rotation and denoted by K(t, b). In this present paper, we will introduce this class and its some properties.

Original languageEnglish
Pages (from-to)433-439
Number of pages7
JournalMathematics in Computer Science
Volume13
Issue number3
DOIs
Publication statusPublished - 1 Sept 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

  • Analytic function
  • Coefficient estimates
  • Convex function
  • Radius of starlikeness

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