Baleanu, DumitruIbrahim, Rabha W.2022-10-062025-09-182022-10-062025-09-182021Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "On a new linear operator formulated by Airy functions in the open unit disk", Advances in Difference Equations, Vol. 2021, No. 1.1687-18471687-1839https://doi.org/10.1186/s13662-021-03527-1https://hdl.handle.net/20.500.12416/10720Ibrahim, Rabha W./0000-0001-9341-025XIn this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is suggested to define a class of normalized functions (the class of univalent functions) calling the Airy difference formula. As a result, the suggested difference formula joining the linear operator is modified to different classes of analytic functions in the open unit disk.eninfo:eu-repo/semantics/openAccessAnalytic FunctionUnivalent FunctionSubordinationOpen Unit DiskArticle10.1186/s13662-021-03527-12-s2.0-85112014041