Close-to-Convexity of q -Bessel–Wright Functions

Muhey U. Din, Mohsan Raza (), Qin Xin, Sibel Yalçin and Sarfraz Nawaz Malik
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Muhey U. Din: Department of Mathematics, Government Islamia Graduate College, Faisalabad 38000, Pakistan
Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Qin Xin: Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark
Sibel Yalçin: Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Bursa 16059, Turkey
Sarfraz Nawaz Malik: Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan

Mathematics, 2022, vol. 10, issue 18, 1-12

Abstract: In this paper, we aim to find sufficient conditions for the close-to-convexity of q -Bessel–Wright functions with respect to starlike functions, such as z 1 − z , z 1 − z 2 , and − log ( 1 − z ) are in the open unit disc. Some consequences related to our main results are also included.

Keywords: analytic functions; univalent functions; starlike functions; convex functions; close-to-convex functions; q -Wright functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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