Certain subclasses of analytic functions associated with fractional $q$-calculus operators
AbstractWe first define the $q$-analogue operators of fractional calculus which are then used in defining certain classes of functions analytic in the open disk. The results investigated for these classes of functions include the coefficient inequalities and some distortion theorems. The results provide extensions of various known results in the $q$-theory of analytic functions. Special cases of our results are pointed out briefly.
How to Cite
Purohit, S. D., & Raina, R. K. (2011). Certain subclasses of analytic functions associated with fractional $q$-calculus operators. MATHEMATICA SCANDINAVICA, 109(1), 55-70. https://doi.org/10.7146/math.scand.a-15177