Fifth Hankel Determinant for Multivalent Bounded Turning Functions of Order α

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Authors

  • Biswajit Rath
     Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P. ,IN
  • K. Sanjay Kumar
     Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P.. ,IN
  • D. Vamshee Krishna
     Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P. ,IN
  • Ch. Vijaya Kumar
     Department of Mathematics, Sri Gurajada Apparao Government Degree College, Yalamanchili- 531055, A.P. ,IN
  • N. Vani
     Department of Mathematics, GITAM School of Science, GITAM (Deemed to be University), Visakhapatnam- 530 045, A.P. ,IN

DOI:

https://doi.org/10.18311/jims/2023/34194

Keywords:

Holomorphic Function, Upper Bound, Hankel Determinant, Carath´eodory Function.

Abstract

The objective of this paper is to estimate an upper bound for the third, fourth and fifth Hankel determinants for the class of multivalent holomorphic functions, whose derivative has a positive real part of order α(0 ≤ α < 1). Further we investigate bound for 2-fold symmetric functions.

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Published

2023-07-12

How to Cite

Rath, B., Sanjay Kumar, K., Vamshee Krishna, D., Vijaya Kumar, C., & Vani, N. (2023). Fifth Hankel Determinant for Multivalent Bounded Turning Functions of Order &#945;. The Journal of the Indian Mathematical Society, 90(3-4), 289–308. https://doi.org/10.18311/jims/2023/34194

Issue

Volume 90, Issue 3-4, July-December 2023

Section

Articles

License

Copyright (c) 2023 Biswajit Rath, K. Sanjay Kumar, D. Vamshee Krishna, Ch. Vijaya Kumar, N. Vani

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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