Sakaguchi Type Starlike Functions Related with Miller-Ross-Type Poisson Distribution in Janowski Domain

Sheza M. El-Deeb, Asma Alharbi () and Gangadharan Murugusundaramoorthy
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Sheza M. El-Deeb: Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 51911, Saudi Arabia
Asma Alharbi: Department of Mathematics, College of Science and Arts, Ar Rass, Qassim University, Buraidah 51452, Saudi Arabia
Gangadharan Murugusundaramoorthy: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, India

Mathematics, 2023, vol. 11, issue 13, 1-14

Abstract: In this research, using the Poisson-type Miller-Ross distribution, we introduce new subclasses Sakaguchi type of star functions with respect to symmetric and conjugate points and discusses their characteristic properties and coefficient estimates. Furthermore, we proved that the class is closed by an integral transformation. In addition, we pointed out some new subclasses and listed their geometric properties according to specializing in parameters that are new and no longer studied in conjunction with a Miller-Ross Poisson distribution.

Keywords: Miller-Ross-type Poisson distribution; convolution; symmetric points; conjugate points; starlike functions; univalent functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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