호남수학학술지 (Honam Mathematical Journal)

  • 제41권2호
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  • Pages.381-390
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  • 2019
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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NEW SUBCLASS OF BI-UNIVALENT FUNCTIONS BY (p, q)-DERIVATIVE OPERATOR

  • Motamednezhad, Ahmad (Faculty of Mathematical Sciences, Shahrood University of Technology) ;
  • Salehian, Safa (Department of Mathematics, Kordkuy center, Gorgan branch, Islamic Azad University)
  • 투고 : 2018.11.03
  • 심사 : 2019.01.14
  • 발행 : 2019.06.25
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초록

In this paper, we introduce interesting subclasses ${\mathcal{H}}^{p,q,{\beta},{\alpha}}_{{\sigma}B}$ and ${\mathcal{H}}^{p,q,{\beta}}_{{\sigma}B}({\gamma})$ of bi-univalent functions by (p, q)-derivative operator. Furthermore, we find upper bounds for the second and third coefficients for functions in these subclasses. The results presented in this paper would generalize and improve some recent works of several earlier authors.

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참고문헌

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