Properties of neighborhood for certain classes associated with complex order and m-q-p-valent functions with higher order

Abstract

In this paper, by using q-calculus (Jackson’s q-derivative) D_{q,p} we defined new operator D_{lambda ,q,p}^{n}f^{(m)}(z). After that, we used this operator to introduce two new subclasses of multivalent analytic functions with complex order. Also, we obtained coefficients estimates and consequent inclusion relationships involving the N_{j,delta ,m}^{p,q}(f)-neighborhood of these classes