Coefficient Bound of a New Generalized Class of Tilted Analytic Univalent Functions

Abdullah Yahya (Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Seremban, 70300, Malaysia)
Mohd Najir Tokachil (Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Seremban, 70300, Malaysia)
Hasilatul Hana Hamzah (J.K Wire Harness Sdn. Bhd. No. 7 and 9, Kawasan Perindustrian Tebrau 1, Johor Bahru, 81100, Malaysia)
Shahriel Mohd Saifullah Pirman (Sekolah Menengah Kebangsaan Jambatan Putih, Tawau, 91019, Malaysia)
Siti Asiah Che Muhammad (Power Cables Malaysia, Purchasing Department, Shah Alam, 40702, Malaysia)

Science and Technology Indonesia
Vol. 7 No. 1 (2022): January

This paper is concerned with the new generalized class of tilted analytic univalent functions,  S*(q,a,s,t) which denoted as. Re{ei????f′(z) z }>????, m(z)for cos ???? > ????, |????| < ????, 0 ≤ ???? <1, m(z)= z , s ≠ 1, -1 ≤ t < 1, s ≠ t and s, t ∈ C which is analytic in the unit disk Δ={w:|w|<1}. The (1−sz) (1−tz)coefficient bound as well as representation theorem of extremal properties is obtained S∗(????,????,s,t).