Results 31 to 40 of about 47,345 (292)

An application of the generalized Bessel function [PDF]

open access: yesMathematica Bohemica, 2017
We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish   +2 more
doaj   +1 more source

On some geometric properties for the combination of generalized Lommel–Wright function

open access: yesJournal of Inequalities and Applications, 2021
The scope of our investigation is to study the geometric properties of the normalized form of the combination of generalized Lommel–Wright function J ν , λ μ , m $J_{\nu ,\lambda }^{\mu ,m}$ defined by J ν , λ μ , m ( z ) : = Γ m ( λ + 1 ) Γ ( λ + ν + 1 )
Hanaa M. Zayed, Teodor Bulboacă
doaj   +1 more source

The Second Hankel Determinant Problem for a Class of Bi-Close-to-Convex Functions

open access: yesMathematics, 2019
The purpose of the present work is to determine a bound for the functional H 2 ( 2 ) = a 2 a 4 − a 3 2 for functions belonging to the class C Σ of bi-close-to-convex functions.
Nak Eun Cho   +3 more
doaj   +1 more source

Doubly close-to-convex functions

open access: yesJournal of Mathematical Analysis and Applications, 2004
AbstractWe introduce the class L(β,γ) of holomorphic, locally univalent functions in the unit disk D={z:|z|
Jan Szynal   +2 more
openaire   +2 more sources

On some first-order differential subordination

open access: yesJournal of the Egyptian Mathematical Society, 2014
Let A denote the class of functions f that are analytic in the unit disc D and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that Re{f′(z)+zf″(z)-β}>α in D.
M. Nunokawa   +4 more
doaj   +1 more source

Quasi-convex univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
doaj   +1 more source

Close‐to‐convexity of normalized Dini functions [PDF]

open access: yesMathematische Nachrichten, 2016
In this paper necessary and sufficient conditions are deduced for the close‐to‐convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag–Leffler expansions for Bessel functions ...
Nihat Yağmur   +3 more
openaire   +4 more sources

An Arclength Problem for Close‐to‐Convex Functions [PDF]

open access: yes, 1966
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135569/1/jlms0181 ...
Clunie, J., Duren, P. L.
core   +1 more source

Radius problems for a subclass of close-to-convex univalent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
Let P[A,B], −1≤Bβ, 0 ...
Khalida Inayat Noor
doaj   +1 more source

Injectivity of sections of convex harmonic mappings and convolution theorems [PDF]

open access: yes, 2015
In the article the authors consider the class ${\mathcal H}_0$ of sense-preserving harmonic functions $f=h+\overline{g}$ defined in the unit disk $|z|
A. W. Goodman   +36 more
core   +2 more sources

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