Mathematics (May 2024)

New Properties of Analytic Functions

  • Hatun Özlem Güney,
  • Shigeyoshi Owa

DOI
https://doi.org/10.3390/math12101469
Journal volume & issue
Vol. 12, no. 10
p. 1469

Abstract

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In the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk. For such functions f(z)∈A¯, some interesting properties for subordinations and strongly starlike functions are given. Also, some interesting examples for the results are shown.

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