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A Subclass of Bi-Univalent Functions Defined by Generalized Sãlãgean Operator Related to Shell-Like Curves Connected with Fibonacci Numbers

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  • Gurmeet Singh
  • Gurcharanjit Singh
  • Gagandeep Singh

Abstract

The aim of this paper is to study certain subclasses of bi-univalent functions defined by generalized Sãlãgean differential operator related to shell-like curves connected with Fibonacci numbers. We find estimates of the initial coefficients and and upper bounds for the Fekete-Szegö functional for the functions in this class. The results proved by various authors follow as particular cases.

Suggested Citation

  • Gurmeet Singh & Gurcharanjit Singh & Gagandeep Singh, 2019. "A Subclass of Bi-Univalent Functions Defined by Generalized Sãlãgean Operator Related to Shell-Like Curves Connected with Fibonacci Numbers," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2019, pages 1-7, March.
    • Handle: RePEc:hin:jijmms:7628083
    DOI: 10.1155/2019/7628083
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