A new class of harmonic functions associated with A (p,q)-Ruscheweyh operator
Keywords:Harmonic functions, (p,q)-calculus, univalent harmonic functions, the Ruscheweyh operator
With the use of post-quantum or (p; q)-calculus, in this paper, we define a new class S0H (n; p; q; α) of certain harmonic functions f ∈ 2 S0H associated with a (p; q)-Ruscheweyh operator Rnp,q: For functions in this class, we obtain a necessary and sufficient convolution condition. A sufficient coefficient inequality is given for functions f ∈ 2 S0H (n; p; q; α). It is proved that this coefficient inequality is necessary for functions in its subclass TS0H (n; p; q; α): Certain properties such as convexity, compactness, and results on bounds, extreme points are also derived for functions in the subclass TS0H (n; p; q; α).