Radius problem for the class of analytic functions based on Ruscheweyh derivative

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2019-03-0034

Keywords:

Analytic function, Univalent function, Ruscheweyh derivative, Cauchy-Schwarz inequality, Radius problema, Hölder inequality

Abstract

Let ???? be the class of analytic functions f (z) with the normalized condition f(0) = f 0(0)?1 = 0 in the open unit disk U. Bymaking use of Ruscheweyh derivative operator, a new subclass ????(?1, ?2, ?3, ?4; ?) of f(z) ? ???? satisfying the inequality    for some complex numbers ?1, ?2, ?3, ?4 and for some real ? > 0 is introduced. The object of the present paper is to obtain some properties of the function class ???? (?1, ?2, ?3, ?4; ?). Also the radius problems of   satisfies the condition   is considered.

Author Biographies

Trailokya Panigrahi, KIIT Deemed to be University.

Department of Mathematics, School of Applied Sciences.

S. K. Mohapatra, KIIT Deemed to be University.

Department of Mathematics, School of Applied Sciences.

References

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Published

2019-08-14

How to Cite

[1]
T. Panigrahi and S. K. Mohapatra, “Radius problem for the class of analytic functions based on Ruscheweyh derivative”, Proyecciones (Antofagasta, On line), vol. 38, no. 3, pp. 537-551, Aug. 2019.

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Section

Artículos