Address:
Department of Mathematics, Khalsa College, Amritsar, Punjab, India
Department of Mathematics, GNDU College, Chungh(Tarn-Taran), Punjab, India
E-mail: kamboj.gagandeep@yahoo.in dhillongs82@yahoo.com
Abstract: The present investigation deals with a new subclass of alpha-convex bi-univalent functions in the unit disc $E=\left\rbrace z\colon \mid z \mid <1\right\lbrace $ defined with $q$-derivative operator. Bounds for the first two coefficients and Fekete-Szegö inequality are established for this class. Many known results follow as consequences of the results derived here.
AMSclassification: primary 30C45; secondary 30C50.
Keywords: analytic functions, bi-univalent functions, alpha-convex functions, coefficient bounds, Fekete-Szegö inequality, q-derivative, subordination.
DOI: 10.5817/AM2025-2-63