q-Analogue of New Subclass of Salagean-type Harmonic Univalent Functions defined by Subordination

Abstract

We introduce and investigate q-analogue of a new subclass of Salagean-type harmonic univalent functions defined by subordination. We first obtained a coefficient characterization of these functions. We give necessary and sufficient convolution conditions, distortion bounds, compactness and extreme points for this subclass of harmonic univalent functions with negative coefficients.

A New Class of Harmonic Univalent Functions of the Salagean Type

“…If we take then the above covering result given in [3]. Furthermore, the results of this paper, for coincide with the results in [4].…”

“…Jahangiri [9], [11] and [12] demonstrated that for harmonic functions of the form (4) The above results are applied in this note to the families and ̅ . For ̅ , we also get extreme points, distortion bounds, convolution conditions, and convex combinations.…”

“…Salagean [17] introduced the differential operator . More details can be seen in [2], [4], [5], [6], [7] and [20]. Jahangiri et al [13] defined the modified Salagean operator of as for ̅ given by (1).…”