Applications of Symmetric Quantum Calculus to the Class of Harmonic Functions

In the past few years, many scholars gave much attention to use of q-calculus in geometric functions theory, and they defined new subclasses analytic harmonic functions. While using symmetric function very little work has been published so far. this research, with help fundamental concepts q-Salagean differential operator for functions, we define a class connected Janowski SH0˜m,q,A,B. First, illustrate necessary sufficient convolution condition SH0˜m,q,A,B then prove that is sense preserving univalent, it its subclass TSH0˜m,q,A,B. Furthermore, by coefficient condition, establish some novel results, particularly convexity, compactness, radii q-starlike q-convex order ?, extreme points newly Our results are generalizations previous known results.