An Investigation Into A Number Of Different Types Of Analytic Functions Involving The Jackson Q-Difference Operator

At the turn of the previous century, Frank Hilton Jackson was responsible for the methodical development of q-calculus as a direct consequence of the groundbreaking work done by Euler and Heine. Jackson is responsible for developing the principles of the q-derivative via the work that he did. By making use of a linear operator connected to the q-binomial theorem, we are able to provide two new subclasses of analytic functions that are applicable to the open symmetric unit disc. In addition to this, we go into inclusion relations and attributes that integral operators must preserve for functions that fall within these classes. This study generalises certain previously discovered findings and also includes some newly discovered ones.