Coefficient estimate of bi-univalent functions based on q-hypergeometric functions

Gangadharan Murugusundaramoorthy, Thambidurai Janani, Maslina Darus

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper, we introduce and investigate two new subclasses of the function class Σ of bi-univalent functions of complex order dened in the open unit disk, which are associated with q-hypergeometric functions, satisfying subordinate conditions. Furthermore, we nd estimates on the coefficients |a<inf>2</inf>| and |a<inf>3</inf>| for functions in these new subclasses. Several consequences of the results are also mentioned.

Original languageEnglish
Pages (from-to)75-85
Number of pages11
JournalApplied Sciences
Volume17
Issue number1
Publication statusPublished - 2015

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Coefficient Estimates
Univalent Functions
Hypergeometric Functions
Unit Disk
Coefficient
Estimate
Class

Keywords

  • Analytic functions
  • Bi-starlike and bi-convex functions
  • Bi-univalent functions
  • Dziok-Srivastava operator
  • q-hypergeometric function
  • Univalent functions

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Coefficient estimate of bi-univalent functions based on q-hypergeometric functions. / Murugusundaramoorthy, Gangadharan; Janani, Thambidurai; Darus, Maslina.

In: Applied Sciences, Vol. 17, No. 1, 2015, p. 75-85.

Research output: Contribution to journalArticle

Murugusundaramoorthy, G, Janani, T & Darus, M 2015, 'Coefficient estimate of bi-univalent functions based on q-hypergeometric functions', Applied Sciences, vol. 17, no. 1, pp. 75-85.
Murugusundaramoorthy, Gangadharan ; Janani, Thambidurai ; Darus, Maslina. / Coefficient estimate of bi-univalent functions based on q-hypergeometric functions. In: Applied Sciences. 2015 ; Vol. 17, No. 1. pp. 75-85.
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