Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part

Abstract

By considering a $p-$valent Bazilevi\v{c} function in the open unit disk$\triangle$ which maps $\triangle$ onto the strip domain $w$ with$p\alpha < \Re\, w < p \beta,$ we estimate bounds of coefficients and solve Fekete-Szeg\"{o} problem forfunctions in this class.\\

Keywords

• Analytic function
• univalent function
• $p-$ valent function
• starlike function
• Bazilevi\v{c} function
• subordination
• coefficient estimate
• Fekete-Szeg\"{o} problem