Miscellaneous

Summary of the Thesis

Univalent function theory is a branch of geometric function theory which deals with the geometric properties of analytic functions. In my thesis, investigations have been done on:

1. Various coefficient estimate problems in geometric function theory such as

· Bounds on the second and the third Hankel determinants.

· Fekete Szegö coefficient functional bounds.

2. Sharp radii for analytic functions of the form to belong to several well-known classes of univalent functions.

3. Many inclusion relations and several coefficient estimates.

4. Necessary and sufficient conditions for the functions , an ≥ 0, defined on the open unit disk, to belong to various subclasses of starlike and convex functions.

5. Various coefficient conditions for functions with the negative coefficients.

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