On a class of analytic functions related to conic domains involving q-calculus

Abstract

The theory of q-analysis has many applications in various subfields of mathematics and quantum physics. Research work in connection with function theory and q-theory together was first introduced by Ismail et al. [6]. Till now only non-significant interest in this area was shown although it deserves more attention. Exploiting this, we aim to introduce a new class of analytic functions that are closely related to the domains bounded by conic sections. The authors hope this article will motivate future researchers to work in the area of q-calculus which can find many applications in the theory of hypergeometric series and quantum theory.