Some applications of q-difference operator involving a family of meromorphic harmonic functions

Abstract

Abstract In this paper, we establish certain new subclasses of meromorphic harmonic functions using the principles of q-derivative operator. We obtain new criteria of sense preserving and univalency. We also address other important aspects, such as distortion limits, preservation of convolution, and convexity limitations. Additionally, with the help of sufficiency criteria, we estimate sharp bounds of the real parts of the ratios of meromorphic harmonic functions to their sequences of partial sums.

Keywords

• Quantum derivative operator
• Meromorphic harmonic starlike functions
• Janowski functions