Mathematica Bohemica, Vol. 146, No. 4, pp. 419-428, 2021
Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
Gangadharan Murugusundaramoorthy, Sibel Yalçin
Received March 9, 2020. Published online November 30, 2020.
Abstract: In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $\mathbb{U}$. We also state corollaries of our main results.
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Affiliations: Gangadharan Murugusundaramoorthy, School of Advanced Sciences, Vellore Institute of Technology, Tiruvalam Rd, Katpadi, Vellore, 632014, Tamil Nadu, India, e-mail: gmsmoorthy@yahoo.com; Sibel Yalçin, Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Görükle Campus, Nilüfer, 16059, Görükle, Bursa, Turkey, e-mail: syalcin@uludag.edu.tr
