The Subclasses of Analytic Functions of Complex Order with Application of q-Derivative Operators

Aini Janteng (Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, 88400, Malaysia)
Desmond Lee Ching Yiing (Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, Johor, 81310, Malaysia)
Yong Enn Lun (Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, 88400, Malaysia)
Jaludin Janteng (Labuan Faculty of International Finance, Universiti Malaysia Sabah, Federal Territory of Labuan, 87000, Malaysia)
Lee See Keong (School of Mathematical Sciences, Universiti Sains Malaysia, Penang, 11800, Malaysia)
Rashidah Omar (Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara Cawangan Sabah, Kota Kinabalu, Sabah, 88997, Malaysia)
Andy Liew Pik Hern (Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Kota Kinabalu, Sabah, 88400, Malaysia)

Science and Technology Indonesia
Vol. 8 No. 3 (2023): July

In this article, we represent A as the of analytic functions in the open unit disk. Further, new subclasses of analytic functions of complex order utilising q-derivative operator are generated. The subclasses are symbolised by Hq,b(ϕ) and Iq,b(ϕ). Additionally, we discover that these function classes are implicated with the Fekete-Szegö inequalities.