On univalent functions with negative coefficients

By Qintao Deng. Applied Mathematics and Computation, 2007

303 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/39517757f9ca4af20c050d692e46dad580438612

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

Radius of close-to-convexity and fully starlikeness of harmonic mappings (2014, background): “Indeed from the work of [15] (see also [17]), it follows by (8) with b1 = 0 that”
An Application of a Poisson Distribution Series on Certain Analytic Functions (2014, unknown): “It is worthy to note that T(0, α) ≡ T(α), the class of starlike functions of order α (0 ≤ α < 1) and C(0, α) ≡ C(α), the class of convex functions of order α (0 ≤ α < 1) (see [4]).”
Some general families of q-starlike functions associated with the Janowski functions (2019, unknown): “(see [15]) If f ∈ TS∗ (α) , then r − (1 − α 2 − α ) r2 5 ∣∣∣ f (z)∣∣∣ 5 r + (1 − α 2 − α ) r2 ( |z| = r (0 < r < 1) ) .”
A generalized operator involving the $q$-hypergeometric function (2012, background): “where S∗ T (δ) and CT (δ) denote the subfamilies of T that are starlike of order δ and convex of order δ which were studied by Silverman [25].”
Starlikeness and Convexity of Generalized Struve Functions (2013, unknown): “Lemma 2 (see [14]).”
Subclasses of starlike and convex functions involving Poisson distribution series (2017, unknown): “Further by taking β = 0 we note that TSP (α, β) ≡ T∗(α) and UCT(α, β) = C(α) the classes studied in [15].”
Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series (2016, background): “Denote by T [19] the subclass of A consisting of functions of the form f(z) = z − ∞ ∑”