A class of meromorphic multivalent functions with negative coefficients defined by a differential operator

For 0≤μ≤λ0≤μ≤λ, 0<α≤10<α≤1, 1/(p+1)<τ≤11/(p+1)<τ≤1, m∈N0=N∪{0}m∈N0=N∪{0} and p∈Np∈N, a new class Mλμmp+(α,τ) of meromorphic pp-valent functions defined by means of the differential operator Dλμpm is introduced and systematically studied. Membership in this class is characterized through coefficient estimates. Distortion, radii of starlikeness and convexity of order β(0≤β<1), Hadamard convolution product, an integral operator, convex combinations and neighborhoods are also investigated.