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Some new inequalities for the generalized Fox-Wright functions

بعض أوجه عدم المساواة الجديدة لوظائف فوكس رايت المعممة
Authors: Saima Naheed; Shahid Mubeen; Gauhar Rahman; M.R. Alharthi; Kottakkaran Sooppy Nisar;

Some new inequalities for the generalized Fox-Wright functions

Abstract

Dans cet article, nous établissons les inégalités du type Redheffer impliquant la fonction de Fox-Wright généralisée. En outre, en conséquence, les nouvelles inégalités de type Redheffer pour les fonctions hypergéométriques généralisées et les fonctions de Mittag-Leffler généralisées à quatre paramètres sont également discutées en utilisant les valeurs appropriées des exposants dans les inégalités généralisées.

En este artículo, establecemos las desigualdades del tipo Redheffer que involucran la función Fox-Wright generalizada. Además, como consecuencia, también se discuten nuevas desigualdades de tipo Redheffer para funciones hipergeométricas generalizadas y las funciones de Mittag-Leffler generalizadas de cuatro parámetros utilizando los valores adecuados de exponentes en desigualdades generalizadas.

In this article, we establish the inequalities of the Redheffer-type involving generalized Fox-Wright function. Furthermore, as a consequence, new Redheffer-type inequalities for generalized hypergeometric functions and the four-parametric generalized Mittag-Leffler functions are also discussed by using the suitable values of exponents in generalized inequalities.

في هذه المقالة، نحدد أوجه عدم المساواة في نوع Redheffer الذي يتضمن وظيفة Fox - Wright المعممة. علاوة على ذلك، ونتيجة لذلك، تتم أيضًا مناقشة المتباينات الجديدة من نوع Redheffer للدوال الهندسية الفائقة المعممة ودوال Mittag - Leffler المعممة رباعية المعلمات باستخدام القيم المناسبة للأسس في المتباينات المعممة.

Keywords

Redheffer-type inequalities, redheffer-type inequalities, Evolutionary biology, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, generalized fox-wright function, Orthogonal Polynomials, generalized Mittag-Leffler function, generalized Fox-Wright function, QA1-939, FOS: Mathematics, Hypergeometric function, Gamma, beta and polygamma functions, Biology, generalized mittag-leffler function, Algebra over a field, Ecology, generalized hypergeometric function, Applied Mathematics, FOS: Clinical medicine, Statistics, Pure mathematics, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Wright, Stability of Functional Equations in Mathematical Analysis, Generalized function, Applied mathematics, Generalized hypergeometric function, Computer science, Programming language, Inequality, Parametric statistics, Function (biology), FOS: Biological sciences, Dentistry, Physical Sciences, Medicine, Inequalities involving other types of functions, Calculus (dental), Type (biology), 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!
2
Average
Average
Average
gold