Logarithmic Coefficients for Univalent Functions Defined by Subordination

• Main Authors: Ebrahim Analouei Adegani, Nak Eun Cho, Mostafa Jafari
• Format: Article
• Language: English
• Published: MDPI AG 2019-05-01
• Series: Mathematics
• Subjects: starlike functions; convex functions; subordination; logarithmic coefficients
• Online Access: https://www.mdpi.com/2227-7390/7/5/408
• ISSN: 2227-7390

In this work, the bounds for the logarithmic coefficients <inline-formula> <math display="inline"> <semantics> <msub> <mi>&#947;</mi> <mi>n</mi> </msub> </semantics> </math> </inline-formula> of the general classes <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi mathvariant="script">S</mi> <mo>*</mo> </msup> <mrow> <mo>(</mo> <mi>&#966;</mi> <mo>)</mo> </mrow> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">K</mi> <mo>(</mo> <mi>&#966;</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> were estimated. It is worthwhile mentioning that the given bounds would generalize some of the previous papers. Some consequences of the main results are also presented, noting that our method is more general than those used by others.