Fekete-Szegő inequality of bi-starlike and bi-convex functions of order b associated with symmetric q-derivative in conic domains

Authors

  • Bharavi Sharma RAYAPROLU Department of Mathematics, Kakatiya University, Warangal-506 009, Telangana, India, e-mail: rbsharma005@gmail.com https://orcid.org/0000-0003-2814-9774
  • Rajya Laxmi KALIKOTA Department of Mathematics, SRIIT, Hyderabad, India, e-mail: rajyalaxmi2206@gmail.com
  • Nanjundan MAGESH Post-Graduate and Research Department of Mathematics Government Arts College for Men, Krishnagiri - 635 001, Tamilnadu, India, (Corresponding author) e-mail: nmagi_2000@yahoo.co.in https://orcid.org/0000-0002-0764-8390

DOI:

https://doi.org/10.24193/subbmath.2022.3.02

Keywords:

Analytic functions, bi-univalent functions, bi-starlike functions, bi- convex functions, conic domain, Fekete-Szegő inequality, q-differential operator, univalent functions.

Abstract

In this paper, two new subclasses of bi-univalent functions related to conic domains are defined by making use of symmetric q-differential operator. The initial bounds for Fekete-Szegő inequality for the functions f in these classes are estimated.

Mathematics Subject Classification (2010): 30C45, 30C50.

Received 20 October 2019; Accepted 13 February 2020.

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STUDIA UBB MATHEMATICA, Volume 67 (LXVII), No. 3, September 2022

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2022-09-20

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RAYAPROLU, B. S., KALIKOTA, R. L., & MAGESH, N. (2022). Fekete-Szegő inequality of bi-starlike and bi-convex functions of order b associated with symmetric q-derivative in conic domains. Studia Universitatis Babeș-Bolyai Mathematica, 67(3), 475–487. https://doi.org/10.24193/subbmath.2022.3.02

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Volume 67, No. 3, September 2022

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