On some classes of analytic functions connected with Kober integral operator in fractional $q$-calculus

Abstract

Through applying the Kober fractional $q$-calculus apprehension, we preliminary implant and introduce new types of univalent analytical functions with a $q$-integral operator in the open disk. The coefficient inequality and distortion theorems are among the results examined with these forms of functions. Specific cases are responded addressed immediately. The findings include an expansion of the numerous established results in the $q$-theory of analytical functions.