Recovering functions defined on the unit sphere by integration on a special family of sub-spheres
Sign Up to like & getrecommendations! Published in 2017 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-016-0135-7
Abstract: The aim of this article is to derive a reconstruction formula for the recovery of $$C^{1}$$C1 functions, defined on the unit sphere $${{\mathbb {S}}}^{n - 1}$$Sn-1, given their integrals on a special family of $$n… read more here.
Keywords: defined unit; integration; special family; family ... See more keywords
On measures of noncompactness in the space of functions defined on the half-axis with values in a Banach space
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124187
Abstract: Abstract In the paper we construct measures of noncompactness in the space of functions defined, continuous and bounded on the real half-axis and taking values in an arbitrary Banach space E. We assume that in… read more here.
Keywords: measures noncompactness; space; half axis; space functions ... See more keywords
ALGEBRAIC VALUES OF CERTAIN ANALYTIC FUNCTIONS DEFINED BY A CANONICAL PRODUCT
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972719001059
Abstract: We give a partial answer to a question attributed to Chris Miller on algebraic values of certain transcendental functions of order less than one. We obtain $C(\log H)^{\unicode[STIX]{x1D702}}$ bounds for the number of algebraic points… read more here.
Keywords: values certain; analytic functions; functions defined; certain analytic ... See more keywords
Some properties for certain subclasses of analytic functions defined by a general differential operator
Sign Up to like & getrecommendations! Published in 2019 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s179355712050134x
Abstract: In this paper, we study two new subclasses [Formula: see text] and [Formula: see text] of analytic functions which are defined by means of a differential operator. Some results connected to partial sums and neighborhoods… read more here.
Keywords: differential operator; properties certain; analytic functions; functions defined ... See more keywords
Fekete-Szegö Inequalities for Some Certain Subclass of Analytic Functions Defined with Ruscheweyh Derivative Operator
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11100560
Abstract: In our present investigation, we introduce and study some new subclasses of analytic functions associated with Ruscheweyh differential operator Dr. We obtain a Fekete–Szegö inequality for certain normalized analytic function defined on the open unit… read more here.
Keywords: szeg inequalities; operator; analytic functions; fekete szeg ... See more keywords
A New Subclass of Bi-Univalent Functions Defined by a Certain Integral Operator
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DOI: 10.3390/axioms12020172
Abstract: We introduce a comprehensive subfamily of analytic and bi-univalent functions in this study using Horadam polynomials and the q-analog of the Noor integral operator. We establish upper bounds for the absolute values of the second… read more here.
Keywords: univalent functions; integral operator; new subclass; functions defined ... See more keywords
On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator
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DOI: 10.3390/math6120312
Abstract: In this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained. read more here.
Keywords: differential operator; defined differential; class harmonic; univalent functions ... See more keywords
On a Certain Subclass of Analytic Functions Defined by Touchard Polynomials
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DOI: 10.3390/sym14040838
Abstract: This paper focuses on the establishment of a new subfamily of analytic functions including Touchard polynomials. Then, we attempt to obtain geometric properties such as coefficient inequalities, distortion properties, extreme points, radii of starlikeness and… read more here.
Keywords: subclass analytic; touchard polynomials; analytic functions; defined touchard ... See more keywords
Results on Univalent Functions Defined by q-Analogues of Salagean and Ruscheweh Operators
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DOI: 10.3390/sym14081725
Abstract: In this paper, we define and discuss properties of various classes of analytic univalent functions by using modified q-Sigmoid functions. We make use of an idea of Salagean to introduce the q-analogue of the Salagean… read more here.
Keywords: results univalent; analytic univalent; univalent functions; salagean ruscheweh ... See more keywords
On a New Subclass of q-Starlike Functions Defined in q-Symmetric Calculus
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DOI: 10.3390/sym15020334
Abstract: Geometric function theory combines geometric tools and their applications for information and communication analysis. It is also successfully used in the field of advanced signals, image processing, machine learning, speech and sound recognition. Various new… read more here.
Keywords: new subclass; starlike functions; defined symmetric; functions defined ... See more keywords