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Convexity, Starlikeness, and Prestarlikeness of Wright Functions

Author

Listed:
  • 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)

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.

Suggested Citation

  • Dong Liu & Muhey U Din & Mohsan Raza & Sarfraz Nawaz Malik & Huo Tang, 2022. "Convexity, Starlikeness, and Prestarlikeness of Wright Functions," Mathematics, MDPI, vol. 10(20), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3858-:d:945452
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    References listed on IDEAS

    as
    1. Afis Saliu & Khalida Inayat Noor & Saqib Hussain & Maslina Darus & Ming-Sheng Liu, 2021. "On Bessel Functions Related with Certain Classes of Analytic Functions with respect to Symmetrical Points," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, February.
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