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ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

ON A SUBCLASS OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

A certain subclass <TEX>$T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$</TEX> of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class <TEX>$T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$</TEX>. Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class <TEX>$T_{\Omega}(n,\;p,\;\lambda,\;\alpha)$</TEX> are determined. Also we …