This paper introduces and studies a new class of analytic p-valent functions in the open symmetric unit disc involving Sălăgean-type q-difference operator. Furthermore, we present several interesting subordination results, coefficient inequalities, fractional q-calculus applications, distortion theorems.

Our goal in this article is to use ideas from symmetric q-calculus operator theory the study of meromorphic functions on punctured unit disc and propose a novel q-difference for these functions. A few additional classes are then defined light new operator. We prove many useful conclusions regarding newly constructed functions, such as convolution, subordination features, integral representation...

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means a q-difference operator. Some properties the in this subclass, such as sufficient and necessary conditions, coefficient estimates, growth distortion theorems, radius starlikeness convexity, partial sums closure are investigated.

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...