Convexity, Starlikeness, and Prestarlikeness of Wright Functions

Dong Liu, Muhey U Din, Mohsan Raza (), Sarfraz Nawaz Malik and Huo Tang
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Dong Liu: School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
Muhey U Din: Department of Mathematics, Islamia College, Faisalabad 38000, Pakistan
Mohsan Raza: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Sarfraz Nawaz Malik: Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan
Huo Tang: School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China

Mathematics, 2022, vol. 10, issue 20, 1-15

Abstract: This article deals with the normalized Wright function and its geometric properties. In particular, we find sufficiency criteria for close-to-convexity with respect to starlike function ς 1 − ς 2 . We also find conditions such that the normalized Wright function is starlike. The convexity along the imaginary axis and starlikeness of a certain order is also a part of our discussion. Moreover, we study the bounded turning of the partial sums and prestarlikeness of this function. We use positivity techniques to obtain these results.

Keywords: starlike function; prestarlike functions; convexity along imaginary axis; close-to-convex function; Wright functions; positivity techniques (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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