Mapping properties of certain linear operator associated with hypergeometric functions

Trailokya Panigrahi, R. M. El-Ashwah

Type: Article

Publication Date: 2020-10-23

Citations: 0

DOI: https://doi.org/10.5269/bspm.39670

Abstract

The main object of the present paper is to nd some su¢ cient conditions in terms of hypergeometric inequalities so that the linear operator denoted by Ha;b;c : maps a certain subclass of close-to-convex function R (A;B) into subclasses of k-uniformly starlike and k-uniformly convex functions k 􀀀ST () and k 􀀀UCV() respectively. Further, we consider an integral operator and discuss its properties. Our results generalize some relevant results.

Locations

Boletim da Sociedade Paranaense de Matemática - View - PDF

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Works Cited by This (19)

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+ PDF Chat	On a certain class of functions whose derivatives have a positive real part in the unit disc	1970	K. S. Padmanabhan
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+	Subordination and superordination preserving properties for a family of integral operators involving the Noor integral operator	2013	Huo Tang Guantie Deng
+ PDF Chat	A class of univalent functions	1973	T. R. Caplinger W. M. Causey
+ PDF Chat	On uniformly convex functions	1991	A. W. Goodman
+ PDF Chat	Uniformly convex functions and a corresponding class of starlike functions	1993	Frode Rønning
+	Hypergeometric functions in the geometric function theory	2006	T. N. Shanmugam
+	Starlike and Prestarlike Hypergeometric Functions	1984	B. C. Carlson Dorothy Browne Shaffer
+	Conic regions and k-uniform convexity	1999	S. Kanas A. Wiśniowska
+ PDF Chat	CLASS-MAPPING PROPERTIES OF THE HOHLOV OPERATOR	2011	Akshaya Mishra Trailokya Panigrahi