Results 61 to 70 of about 110 (87)

Toeplitz matrices whose elements are coefficients of Bazilevič functions

open access: yesOpen Mathematics, 2018
We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan   +3 more
doaj   +1 more source

Differential subordination and convexity criteria of integral operators

open access: yesOpen Mathematics, 2017
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R.   +2 more
doaj   +1 more source

On a subclass of multivalent functions defined by generalized multiplier transformation

open access: yesOpen Mathematics
The objective of this study is to establish a novel category of multivalent analytic functions by utilizing generalized multiplier transformations. The subclass is further examined for coefficient estimations, growth and distortion theorems, extreme ...
Alharayzeh Ma’moun I. Y.
doaj   +1 more source

Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function

open access: yesDemonstratio Mathematica
A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions.
Murugusundaramoorthy Gangadharan   +3 more
doaj   +1 more source

Analytic solutions of a generalized complex multi-dimensional system with fractional order

open access: yesDemonstratio Mathematica
The Duhamel principle is a mathematical principle that allows us to solve linear partial differential equations. This system is generalized by the concept of the kk-symbol fractional calculus.
Baleanu Dumitru, Ibrahim Rabha W.
doaj   +1 more source

Coefficient estimates and Fekete-Szegö problem for some classes of univalent functions generalized to a complex order

open access: yesDemonstratio Mathematica
In this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order.
Aron Mihai
doaj   +1 more source

Fekete–Szegö problems for (β, Φ)-spirllike mapping of complex order γ in Banach space

open access: yesDemonstratio Mathematica
In this paper, we establish the sharp Fekete–Szegö inequalities of functional type over a new class of holomorphic mappings on the unit ball in a complex Banach space. This class includes some important widely studied classes. We offer simpler proofs and
Xiong Liangpeng, Yu Fang, Wang Qingchao
doaj   +1 more source

Bohr-type inequalities of analytic functions. [PDF]

open access: yesJ Inequal Appl, 2018
Liu MS, Shang YM, Xu JF.
europepmc   +1 more source

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