Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane

H. Irmak; P. Agarwal

doi:10.1051/mmnp/201712306

Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane

H. Irmak
, P. Agarwal

Çankiri Karatekin University
International College of Engineering

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Inequalities involving Mittag-Leffler functions play important rôles in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways. In this paper by making use of a novel idea and technique, a comprehensive result which contains several differential inequalities (in the complex plane C) relating to the Mittag-Leffler (type) functions: [Equation presented here] (in its kernel (λ)_v being the familier Pochhammer symbol) is first established. A number of corollaries and consequences of the main result are then presented.

Original language	English
Pages (from-to)	65-71
Number of pages	7
Journal	Mathematical Modelling of Natural Phenomena
Volume	12
Issue number	3
DOIs	https://doi.org/10.1051/mmnp/201712306
State	Published - 2017
Externally published	Yes

Keywords

Analytic functions
Complex plane
Complex special functions
Differential inequalities in the complex plane
Jack's lemma
Mittag-Leffler (type) functions
Unit open disk

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10.1051/mmnp/201712306

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title = "Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane",

abstract = "Inequalities involving Mittag-Leffler functions play important r{\^o}les in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways. In this paper by making use of a novel idea and technique, a comprehensive result which contains several differential inequalities (in the complex plane C) relating to the Mittag-Leffler (type) functions: [Equation presented here] (in its kernel (λ)v being the familier Pochhammer symbol) is first established. A number of corollaries and consequences of the main result are then presented.",

keywords = "Analytic functions, Complex plane, Complex special functions, Differential inequalities in the complex plane, Jack's lemma, Mittag-Leffler (type) functions, Unit open disk",

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AU - Agarwal, P.

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PY - 2017

Y1 - 2017

N2 - Inequalities involving Mittag-Leffler functions play important rôles in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways. In this paper by making use of a novel idea and technique, a comprehensive result which contains several differential inequalities (in the complex plane C) relating to the Mittag-Leffler (type) functions: [Equation presented here] (in its kernel (λ)v being the familier Pochhammer symbol) is first established. A number of corollaries and consequences of the main result are then presented.

AB - Inequalities involving Mittag-Leffler functions play important rôles in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways. In this paper by making use of a novel idea and technique, a comprehensive result which contains several differential inequalities (in the complex plane C) relating to the Mittag-Leffler (type) functions: [Equation presented here] (in its kernel (λ)v being the familier Pochhammer symbol) is first established. A number of corollaries and consequences of the main result are then presented.

KW - Analytic functions

KW - Complex plane

KW - Complex special functions

KW - Differential inequalities in the complex plane

KW - Jack's lemma

KW - Mittag-Leffler (type) functions

KW - Unit open disk

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DO - 10.1051/mmnp/201712306

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JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

IS - 3

ER -

Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane

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