journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-2247 On coefficient estimate of K-fold bi-univalent functions Abood Hadeel K. Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq Juma Abdul Rahman S. Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq 29 2 413 421 29 01 2026

This study examines and investigates two novel subclasses â„ģ𝓗ÎĢ𝓆(Ņē, Ō’, η; Îī) and â„ģ𝓗~ÎĢ𝓆(Îļ, Ō’, η; φ) for a family ÎĢ𝓆 of K-fold symmetric bi-univalent function in a open unit disk. Furthermore, where function in these subclasses, bound of coefficient |𝒷𝓆⏆𝟙| and |𝒷𝟚𝓆⏆𝟙| were derived. Moreover, several refined results are presented for related classes. 

 Analytic function bi-univalent functions q-fold symmetric function Univalent functions q-fold Symmetric Function access open retracted no