## THERMAL SCIENCE

International Scientific Journal

### SOME CONDITIONS ON STARLIKE AND CLOSE TO CONVEX FUNCTIONS

**ABSTRACT**

Many mathematical concepts are explained when viewed through complex function theory. We are here basically concerned with the form f(z)=a0+a1z+a2z2+...f(z) ∈A, f(z)=z+Σ∞, n=2anZ2 will be an analytic function in the open unit disc U={z:|z|<1, z=∈C}normalized by f(0) = 0, f'(0)=1. In this work, starlike functions and close-to-convex functions with order 1/4 have been studied according to the exact analytic requirements.

**KEYWORDS**

PAPER SUBMITTED: 2022-06-30

PAPER REVISED: 2022-07-25

PAPER ACCEPTED: 2022-09-20

PUBLISHED ONLINE: 2023-01-29

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