Results 61 to 70 of about 111 (99)
The order of starlikeness of some classes of strongly starlike functions
, 2018 In this paper we consider the order of strongly starlikeness for functions in Silverman's class Gb and in the generalized Mocanu's class M (α, β1, β2). Some previous results are improved.Mathematics Subject Classification (2010): Primary 30C45; Secondary
Srivastava, Rekha, Liu, Jin-Lin
core
Results on ϕ-like functions involving Hadamard product
In this paper, we derive a differential subordination theorem involving convolution of normalized analytic functions. By selecting different dominants to our main result, we find certain sufficient conditions for ϕ−likeness and parabolic ϕ−likeness of ...
KAUR, Hardeep +2 more
core +1 more source
Some extensions of the Open Door Lemma [PDF]
, 2015 Miller and Mocanu proved in their 1997 paper a greatly useful result which is now known as the Open Door Lemma. It provides a sucient condition for an analytic function on the unit disk to have positive real part. Kuroki and Owa modied the lemma when the
LI, Ming, SUGAWA, Toshiyuki
core
Differential superordination for harmonic complex-valued functions
, 2019 Let Ω and ∆ be any sets in C, and let ϕ(r, s, t; z) : C3 × U → C. Let p be a complex-valued harmonic function in the unit disc U of the form p(z) = p1(z) + p2(z), where p1 and p2 are analytic in U .
OROS, Georgia Irina, OROS, Gheorghe
core +1 more source
A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics. [PDF]
J Geom Anal, 2020 Jiménez-Garrido J, Sanz J, Schindl G.
europepmc +1 more source
Generalization of Jack’s Lemma for Functions With Fixed Initial Coefficient and Its Applications
In this paper, by using the theory of differential subordination, we will generalize Jack’s lemma for functions with fixed initial coefficient. Then extensions of the well-known open-door lemma for analytic and meromorphic functions with fixed initial ...
SHAMS, Saied +2 more
core +1 more source
The objective of this paper is to investigate the bounds of third and fourth Hankel determinants for a generalized subclass of bounded turning functions associated with sine function, in the open unit disc E = {z ∈ C : |z| < 1}.
SINGH, Gagandeep, SINGH, Gurcharanjit
core +1 more source
Certain theorems involving differential superordination and sandwich-type results
To obtain the main result of the present paper, we use the technique of differential superordination. As special cases of our main result, we obtain sufficient conditions for f ∈ A to be φ−like, parabolic φ−like, starlike, parabolic starlike, close-to ...
KAUR, Hardeep +2 more
core +1 more source
Hankel and symmetric Toeplitz determinants for Sakaguchi starlike functions
In this paper, we consider the class of starlike functions with respect to symmetric points which are also known as Sakaguchi starlike functions. We de- termine best possible bounds on Zalcman conjecture | – and generalized Zalcman conjecture |aman − am+
JAIN, Naveen Kumar +2 more
core +1 more source
On a boundary property of analytic functions. [PDF]
J Inequal Appl, 2017 Nunokawa M, Sokół J.
europepmc +1 more source