Coefficient Inequalities for certain Starlike and Convex functions
Copyright policy )Coefficient Inequalities for certain Starlike and Convex functions
Summary: In this paper, we consider two Ma-Minda-type subclasses of starlike and convex functions associated with the normalized analytic function \(\varphi_{Ne}(z)=1+z-z^3/3\) that maps an open unit disk onto the Nephroid shaped bounded domain in the right-half of the complex plane. We investigate convolution and quasi-Hadamard product properties for the functions belonging to such classes. In addition, we compute best possible estimates on third order Hermitian-Toeplitz determinant and non-sharp estimates on certain third order Hankel determinants for the starlike functions associated with the interior region of Nephroid.
Starlike functions;convex functions;Neproid;convolution properties;quasi-Hadamard product properties;Hermitian--Toeplitz and Hankel determinants, Matematik, starlike functions, convex functions, Convex Functions, Convolution Properties, Mathematical Sciences, Starlike Functions, neproid, convolution properties, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Coefficient problems for univalent and multivalent functions of one complex variable, Hermitian--toeplitz and Hankel Determinants, Neproid, Hermitian-Toeplitz and Hankel determinants, Quasi-hadamard Product Properties, quasi-Hadamard product properties
Starlike functions;convex functions;Neproid;convolution properties;quasi-Hadamard product properties;Hermitian--Toeplitz and Hankel determinants, Matematik, starlike functions, convex functions, Convex Functions, Convolution Properties, Mathematical Sciences, Starlike Functions, neproid, convolution properties, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Coefficient problems for univalent and multivalent functions of one complex variable, Hermitian--toeplitz and Hankel Determinants, Neproid, Hermitian-Toeplitz and Hankel determinants, Quasi-hadamard Product Properties, quasi-Hadamard product properties
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