Differential superordination for harmonic complex-valued functions [PDF]
, 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
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Bounds of third and fourth Hankel determinants for a generalized subclass of bounded turning functions subordinated to sine function [PDF]
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
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Generalization of Jack’s Lemma for Functions With Fixed Initial Coefficient and Its Applications [PDF]
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
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Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains [PDF]
In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
IRMAK, Hüseyin
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Certain theorems involving differential superordination and sandwich-type results [PDF]
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
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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
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Hankel and symmetric Toeplitz determinants for Sakaguchi starlike functions [PDF]
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
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On the class of analytic functions defined by Robertson associated with nephroid domain [PDF]
The primary focus of this article is to explore a novel subclass, denoted as GNGN, of analytic functions. These functions exhibit starlike properties concerning a boundary point within a nephroid domain. The author obtains representation ...
SIVASUBRAMANIAN, Kavitha
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Ma-Minda starlikeness of certain analytic functions [PDF]
A normalized analytic function defined on the open unit disc D is called Ma-Minda starlike if zf ′(z)/f(z) is subordinate to the function φ. For a normalized convex function f defined on D and α > 0, we determine the radius of Ma-Minda starlikeness of
JANANI, Baskar Babujee, RAVICHANDRAN, V.
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A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics. [PDF]
J Geom Anal, 2020 Jiménez-Garrido J, Sanz J, Schindl G.
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