A NEW CLASS OF MULTIVALENTLY ANALYTIC FUNCTIONS ASSOCIATED WITH FRACTIONAL q-CALCULUS OPERATORS

@inproceedings{Purohit2012ANC,
title={A NEW CLASS OF MULTIVALENTLY ANALYTIC FUNCTIONS ASSOCIATED WITH FRACTIONAL q-CALCULUS OPERATORS},
author={S. D. Purohit},
year={2012}
}

Making use of a certain operator of fractional q-derivative, we introduce a new class of multivalently analytic functions in the open unit disk. Among the results investigated for this class of functions include the coefficient inequalities and some distortion theorems. The results provide q-extensions of various known results in the theory of analytic functions. Special cases of the results are also pointed out in the concluding section of this paper.