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Generalization of Gamma and Beta Functions with Certain Properties and Statistical Application
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     This work is devoted to define new generalized gamma and beta functions involving the recently suggested seven-parameter Mittag-Leffler function, followed by a review of all related special cases. In addition, necessary investigations are affirmed for the new generalized beta function, including, Mellin transform, differential formulas, integral representations, and essential summation relations. Furthermore, crucial statistical application has been realized for the new generalized beta function.  

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Publication Date
Sun Jul 30 2023
Journal Name
Iraqi Journal Of Science
Generalization of Gamma and Beta Functions with Certain Properties and Statistical Application
...Show More Authors

     This work is devoted to define new generalized gamma and beta functions involving the recently suggested seven-parameter Mittag-Leffler function, followed by a review of all related special cases. In addition, necessary investigations are affirmed for the new generalized beta function, including, Mellin transform, differential formulas, integral representations, and essential summation relations. Furthermore, crucial statistical application has been realized for the new generalized beta function.  

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Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
Application of q-Mittag-Leffer Function on Certain Subclasses of Analytic Functions
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The main objective of this paper is to introduce and study the generality differential operator involving the q-Mittag-Leffler function on certain subclasses of analytic functions.  Also, we  investigate the inclusion properties of these classes, by using the concept of subordination between analytic functions.

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Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
CERTAIN FAMILY OF MULTIVALENT FUNCTIONS ASSOCIATED WITH SUBORDINATION
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Abstract<p>We have studied new subclass B (A, B,γ) over multivalent functions. We have present some effects because of the category B (A, B,γ). We bear mentioned simple properties, convolution properties, incomplete sums, weighted mean, arithmetic mean, linear combination, inclusion rapport and neighborhood properties, software concerning fractional calculus then vile residences because of both the classes…</p>
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Publication Date
Mon Jan 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Certain Family of Multivalent Functions Associated With Subordination
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The main objectives of this pepper are to introduce new classes. We have attempted to obtain coefficient estimates, radius of convexity, Distortion and  Growth theorem and other related results for the classes

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Publication Date
Fri Jan 01 2021
Journal Name
International Journal Of Agricultural And Statistical Sciences
STATISTICAL COMPUTATION AND APPLICATION WITH GENERALIZED POISSON DISTRIBUTION
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Publication Date
Sat Jun 27 2020
Journal Name
Iraqi Journal Of Science
A Class of Harmonic Univalent Functions Defined by Differential Operator and the Generalization
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In this paper, a new class of harmonic univalent functions was defined by the differential operator. We obtained some geometric properties, such as the coefficient estimates, convex combination, extreme points, and convolution (Hadamard product), which are required

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Publication Date
Sun Sep 01 2013
Journal Name
Journal Of Economics And Administrative Sciences
Compared Methods of Generating Both Gamma Distribution and Beta Distribution
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Beta Distribution

Abstract

             Gamma and Beta Distributions has very important in practice in various areas of statistical and applications reliability and quality control of production. and There are a number of methods to generate data behave on according to these distribution. and These methods bassic primarily on the shape parameters of each distribution and the relationship between these distributions and their relationship with some other probability distributions.    &nb

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Publication Date
Tue Aug 31 2021
Journal Name
Iraqi Journal Of Science
Some Geometric Properties for a Certain Class of Meromorphic Univalent Functions by Differential Operator
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The major target of this paper is to study a confirmed class of meromorphic univalent functions . We procure several results, such as those related to coefficient estimates, distortion and growth theorem, radii of starlikeness, and convexity for this class, n additionto hadamard product, convex combination, closure theorem, integral operators, and  neighborhoods.

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Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
A Study of a Certain Family of Multivalent Functions Associated with Subordination
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The aim of this paper is to introduce a certain family of new classes of multivalent functions associated with subordination. The various results obtained here for each of these classes include coefficient estimates radius of convexity, distortion and growth theorem.  

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Publication Date
Mon Aug 26 2019
Journal Name
Iraqi Journal Of Science
On A Class of W-Valent Functions With Two Fixed Points Involving Hypergeomatric Function with Generalization Integral Operator
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In this paper we have studied a generalization of  a class of ( w-valent ) functions with two fixed points involving hypergeometric function with generalization  integral operator . We obtain some results like, coefficient estimates and some theorems of this class.

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