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 H , m,q (, 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.
Topics & Concepts
MathematicsClass (philosophy)Analytic functionOrder (exchange)Algebra over a fieldPure mathematicsMathematical analysisComputer scienceFinanceEconomicsArtificial intelligenceAnalytic and geometric function theoryHolomorphic and Operator TheoryMathematical functions and polynomials