A CERTAIN CLASS OF ANALYTIC FUNCTIONS OF COMPLEX ORDER CONNECTED WITH A q-ANALOGUE OF INTEGRAL OPERATORS

摘要

In this paper, we introduce a certain class H-m,q(lambda,alpha)(zeta,M) of normalized analytic functions of complex order connected with a q-analogue of integral operators. For this complex-order analytic function class, we determine a sufficient condition in terms of the coefficients, estimates for the coefficients and a maximization theorem concerning the coefficients. Various consequences and applications of our main results are also considered. A brief remark about the demonstrated equivalence of the q-calculus and the so-called (p,q)-calculus is also presented.