Coefficient Estimate of bi-Bazilevič Functions Associated with Fractional q-calculus Operators

• Autorzy: Murugusundaramoorthy G. , Janani T. , Purohit S. D.

Identyfikatory

DOI

10.3233/FI-2017-1478

• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce and investigate two new subclasses of the function class ∑ of bi-univalent functions defined in the open unit disk, which are associated with fractional q-calculus operators, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients |a2| and |a3| for functions in these new subclasses. Several (known or new) consequences of the results are also pointed out.

Słowa kluczowe

EN

analytic functions; univalent functions; bi-univalent functions; bi-starlike functions; biconvex functions; bi-Bazilevič functions; fractional q-calculus operators

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 49--62
• Opis fizyczny: Bibliogr. 48 poz.

Twórcy

autor

Murugusundaramoorthy G.

• School of Advanced Sciences, VIT University, Vellore-632014, Tamilnadu, India

autor

Janani T.

• School of Computer Sciences & Engineering, VIT University, Vellore-632014, Tamilnadu, India

autor

Purohit S. D.

• Department of HEAS (Mathematics), Rajasthan Technical University, Kota-324010, Rajasthan, India

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).