Mathematics (Oct 2022)

Convexity, Starlikeness, and Prestarlikeness of Wright Functions

  • Dong Liu,
  • Muhey U Din,
  • Mohsan Raza,
  • Sarfraz Nawaz Malik,
  • Huo Tang

DOI
https://doi.org/10.3390/math10203858
Journal volume & issue
Vol. 10, no. 20
p. 3858

Abstract

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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 ς1−ς2. 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