MMN-3102
A certain class of analytic functions of complex order connected with a q-analogue of integral operators
H. M. Srivastava; Sheza M. El-Deeb;Abstract
In this paper, we introduce a certain class
$\mathcal{H}_{m,q}^{\lambda,\alpha}(\zeta,\mathcal{M})$
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.
Vol. 21 (2020), No. 1, pp. 417-433