Sharp Robertson-type coefficient estimates for radial starlike and quasi-convex of type B mappings of order α in complex Banach spaces

@misc{majumder2026sharp,
  title = {{Sharp Robertson-type coefficient estimates for radial starlike and quasi-convex of type B mappings of order α in complex Banach spaces}},
  author = {Sujoy Majumder and Abhijit Banerjee and Goutam Haldar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13869},
  eprint = {2610.13869},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13869},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Sharp Robertson-type coefficient estimates for radial starlike and quasi-convex of type B mappings of order α in complex Banach spaces
AU  - Sujoy Majumder
AU  - Abhijit Banerjee
AU  - Goutam Haldar
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13869
UR  - https://arxiv.org/abs/2610.13869
AB  - In this paper, we study biholomorphic mappings F: 𝔹 → X of the form F(z) = f(z)z for z ∈ 𝔹, where f: 𝔹 → ℂ is a holomorphic function satisfying f(0) = 1. Our main contributions are as follows: We establish sharp estimates for the coefficients of starlike functions of order α as well as quasi-convex functions of type B and order α by employing the notion of majorization. The results established here directly extend the results due to Robertson \cite{Robertson-1936} to the broader setting of complex Banach spaces.
ER  -