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Abstract and Applied Analysis
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Abstract and Applied Analysis
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A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions

فئة جديدة من الوظائف التحليلية الميرومورفية مع تطبيقات على الوظائف الهندسية الفائقة المعممة
Authors: F. Ghanim; Maslina Darus;

A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions

Abstract

We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions.

Keywords

Artificial neural network, Artificial intelligence, Hadamard product, Class (philosophy), Immunology, Analytic Functions, Geometry, Univalent Functions, Mathematical analysis, Bandwidth (computing), meromorphically analytic functions, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Convolution (computer science), Machine learning, QA1-939, FOS: Mathematics, functions in the disk, Amplifier, Hypergeometric function, Complex Analysis and Operator Theory, Distortion (music), Meromorphic functions of one complex variable (general theory), Geometric Function Theory, Biology, Hadamard transform, Antibody, Product (mathematics), starlike functions, Computer network, Generalized hypergeometric series, \({}_pF_q\), Applied Mathematics, Meromorphic function, FOS: Clinical medicine, Geometric Function Theory and Complex Analysis, Pure mathematics, Generalized hypergeometric function, Subclass, Computer science, Analytic function, generalized hypergeometric functions, Physical Sciences, Geometry and Topology, Holomorphic Functions, Mathematics, Hypergeometric Functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Top 10%
gold
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