ON A CERTAIN CLASS OF ANALYTIC UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS DEFINED BY q-CALCULUS
S. N. Mishra1, I. B. Mishra2 and S. Porwal3
1Department of Mathematics, Brahmanand Postgraduate College The Mall, Kanpur-208001, Uttar Pradesh, India
2Department of Mathematics, Janta College, Bakewar, Etawah-206124, Uttar Pradesh, India
3Department of Mathematics, Ram Sahai Government Degree College, Bairi-Shivrajpur, Kanpur-209205, Uttar Pradesh, India Email:email@example.com, firstname.lastname@example.org, email@example.com
(Received : January 18, 2021; In format : June 22, 2021, Accepted: May 26, 2022)
The main object of this paper is to introduce a new subclass of analytic univalent functions by using q-calculus. We obtain results regarding coefficient estimates extreme points, distortion bounds, convolution condition and convex combination for this class. Finally, we discuss a class preserving integral operator for this class. Relevant connections of the results presented herewith various well-known results are briefly indicated.
2020 Mathematical Sciences Classification: 30C45.
Keywords and Phrases: Analytic, univalent, Salagean operator, q-calculus