This research aims to present a linear operator Lp,q?,?,?f utilizing the q-Mittag–Leffler function. Then, we introduce subclass of harmonic (p,q)-convex functions HTp,q(?,W,V) related Janowski For p-valent f class, investigate geometric properties, such as coefficient estimates, convex combination, extreme points, and Hadamard product. Finally, closure property is derived using under q-Bernardi...

Abstract The aim of this paper is to investigate various inclusion relations and some other properties of a certain subclasses Λp,k(α,A,B, n) and Λ ∗ p,k(α,A,B, n) of meromorphically p-valent analytic funtions with negative coefficients which are defined here by means of a linear operator. The familier concept of neighborhoods of analytic functions is also extended and applied to the functions ...

Let K = ( k j ) be an increasing sequence of integers, 0 , and E a class analytic in the disk D z : < 1 functions f such that for some p ∈ ℕ all derivatives are middle -valent . It is proved every function entire if only lim → ∞ ln - ∑ s +