Certain multipliers of univalent harmonic functions Original Research Article

Inequalities involving multipliers using the sequences {cn}{cn} and {dn}{dn} of positive real numbers are introduced for complex-valued harmonic univalent functions. By specializing {cn}{cn} and {dn}{dn}, we determine representation theorems, distortion bounds, convolutions, convex combinations, and neighbourhoods for such functions. The theorems presented, in many cases, confirm or generalize various well-known results for corresponding classes of harmonic functions.