Browsing by Author "Kumar, Sushil"
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Publication Bound on Hankel Determinants H(2)4 (F) and H(3)4 (F) for Lemniscate Starlike Functions(Honam Mathematical Soc., 2023) Kumar, Sushil; Rai, Pratima; ÇETİNKAYA, ASENAWe determine the upper bounds on fourth order Hankel de-terminants H4(2) (f) and H(3) 4 (f) for the class S*L of lemniscate starlike functions defined on the open unit disk which was introduced by Sok ' o l and Stankiewicz in [17].Publication Coefficient Inequalities for Certain Starlike and Convex Functions(Hacettepe University, 2022) Çetinkaya, Asena; Kumar, SushilIn this paper, we consider two Ma-Minda-type subclasses of starlike and convex functions associated with the normalized analytic function phi(Ne)(z) = 1 + z - z3/3 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-To eplitz determinant and non-sharp estimates on certain third order Hankel determinants for the starlike functions associated with the interior region of Nephroid.Publication Univalent Functions Associated with the Symmetric Points and Cardioid-shaped Domain Involving (p,q)-Calculus(Kyungpook Natl Univ, Dept Mathematics, 2021) Ahuja, Om; Bohra, Nisha; ÇETİNKAYA, ASENA; Kumar, SushilIn this paper, we introduce new classes of post-quantum or (p, q)-starlike and convex functions with respect to symmetric points associated with a cardiod-shaped domain. We obtain (p,q)-Fekete-Szego inequalities for functions in these classes. We also obtain estimates of initial (p, q)-logarithmic coefficients. In addition, we get q-Bieberbachde-Branges type inequalities for the special case of our classes when p = 1. Moreover, we also discuss some special cases of the obtained results.