A correct proof of logarithmic coefficients for Janowski type $(j,k)$-symmetric starlike functions

Navneet Lal Sharma

A correct proof of logarithmic coefficients for Janowski type $(j,k)$-symmetric starlike functions

Complex Variables 2022-12-06 v1

Authors: Navneet Lal Sharma

Abstract

Recently, authors [7] studied the logarithmic coefficient bounds for class of the Janowski type $(j,k)$ -symmetric starlike functions $\mathcal{ST}_{[j,k]}(A,B)$ in ({\em Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.} (2022). DOI: 10.1007/s13398-022-01310-9). We pointed out that the proof of Theorem~3 in [7] is incorrect. In this article, we present the correct proof of Theorem~3. In addition, we also obtain some new results related to the logarithmic coefficient inequalities for the class $\mathcal{ST}_{[j,k]}(A,B)$ .

Keywords

janowski type functions symmetric starlike functions logarithmic coefficients theorem proof complex analysis

Cite

@article{arxiv.2212.01556,
  title  = {A correct proof of logarithmic coefficients for Janowski type $(j,k)$-symmetric starlike functions},
  author = {Navneet Lal Sharma},
  journal= {arXiv preprint arXiv:2212.01556},
  year   = {2022}
}

Comments

7pages

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