Some Applications of a New Integral Operator in q-Analog for Multivalent Functions

This paper introduces a new integral operator in q-analog for multivalent functions. Using as an application of this operator, we study a novel class of multivalent functions and define them. Furthermore, we present many new properties of these functions. These include distortion bounds, sufficiency...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-12, Vol.7 (12), p.1178
Main Authors: Khan, Qaiser, Arif, Muhammad, Raza, Mohsan, Srivastava, Gautam, Tang, Huo, Rehman, Shafiq ur
Format: Article
Language:English
Subjects:
Convexity
Food science
Inequality
Integrals
Operators (mathematics)
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Summary:This paper introduces a new integral operator in q-analog for multivalent functions. Using as an application of this operator, we study a novel class of multivalent functions and define them. Furthermore, we present many new properties of these functions. These include distortion bounds, sufficiency criteria, extreme points, radius of both starlikness and convexity, weighted mean and partial sum for this newly defined subclass of multivalent functions are discussed. Various integral operators are obtained by putting particular values to the parameters used in the newly defined operator.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7121178