On The Coefficient Conjecture of Clunie and Sheil-Small

Abstract

In this paper, we first prove relation between analytic and co-analytic part of the class harmonic univalent functions SH(S):=f = h+ g|h is element of S by means of second dilatation is constant. Next, we verify the coefficient conjecture of Clunie and Sheil-Small for class of harmonic univalent functions. Finally, we obtain distortion bounds of this class.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…