The Extended q- Image (basic analogue) of Mittag-Leffler Function and  itas Simply Properties

The Extended q- Image (basic analogue) of Mittag-Leffler Function and itas Simply Properties

Farooq Ahmad Sheikh

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Alok Jain

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D.K. Jain

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Renu Jain

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α University of Kashmir

The Extended q- Image (basic analogue) of Mittag-Leffler Function and itas Simply Properties

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Abstract

In the present paper, the authors derived the basic analogue of extended Mittag-Leffler function by using the extended q-beta function and obtain some important results of Mittag-Leffler function in terms of generalized Wright function. Special cases are also discussed at the end section of paper.

References

11 Cites in Article

Reference Format

G Mittag-Leffler (1903). Une généralisation de l'intégrale de Laplace-Abel.
G Mittag-Leffler (1903). Sur la représentation analytique d'une branche uniforme d'une fonction monogène: Seconde note.
G Mittag-Leffler (1905). Sur la représentation analytique d’une branche uniforme d’une fonction monogène: cinquième note.
Wiman (1905). A: Über der Fundamentalsatz in der Theorie der Funktionen Eα(x).
R Agarwal (1953). A propos d'une note de M. Pierre Humbert.
P Humbert (1953). Sur la fonction de Mittag-Leffler et quelques unes de ses generalizations.
T Prabhakar (1971). A singular integral equation with a generalized Mittag-Leffler function in the kernel.
Mehmet Ali,Özarslan,Banu Yılmaz (2014). The extended Mittag-Leffler function and its properties.
Waleed Al-Salam (1966). Some Fractional <i>q</i>-Integrals and <i>q</i>-Derivatives.
W Al-Salam (1966). q-Analogues of Cauchy's Formulas.
Jayprakash Yadav (2006). Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Farooq Ahmad Sheikh. 2018. \u201cThe Extended q- Image (basic analogue) of Mittag-Leffler Function and itas Simply Properties\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F4): .

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GJSFR Volume 18 Issue F4
Pg. 11- 14

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 33E12

Submission ReceivedApril 16, 2018
Peer Review Double Blind
Handling Editor
Accepted May 8, 2018
Published May 21, 2018

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v1.2

Issue date

June 7, 2018

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Article Matrices

Total Score: 104

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Alok Jain, Farooq Ahmad Sheikh, D.K. Jain, Renu Jain (PhD/Dr. count: 0)

View Count (all-time): 151

Total Views (Real + Logic): 3115

Total Downloads (simulated): 1647

Publish Date: 2018 06, Thu

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Total Views: 3115

Total Downloads: 1647

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