On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

Frederic Ayant

On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

Frederic Ayant *

Contact

On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

Article Fingerprint

ReserarchID

G387B

On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions Banner

AI TAKEAWAY

Connecting with the Eternal Ground

Abstract

Recently, Raina and Srivastava and Srivastava and Hussain have provided closed-form expressions for a number of an Eulerian integral involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals concerning the product of two multivariable A-functions defined by Gautam et Asgar[4], a class of multivariable polynomials and the extension of the Hurwitz-Lerch Zeta function. These integrals will serve as a fundamental formula from which one can deduce numerous useful integrals.

References

15 Cites in Article

Reference Format

F Ayant (2016). On general multiple Eulerian integrals involving the multivariable Afunction, a general class of polynomials and the generalized multiple-index Mittag-Leffler function.
A Bhargava,A Srivastava,O Mukherjee (2014). International Journal of Latest Technology in Engineering, Management & Applied Science.
B Gautam,A Asgar,A Goyal (1980). The A-function.
B Gautam,A Asgar,A Goyal (1986). Government Versus Farmers’: A Conflict Over the Neo Liberal Agricultural Reforms in India: A Review.
S Goyal,T Mathur (2003). On general multiple Eulerian integrals and fractional integration.
I Gradsteyn,I Ryxhik (1980). Table of integrals, series and products.
R Raina,H Srivastava (1993). Evaluation of a certain class of Eulerian integrals.
M Saigo,M,R Saxena Unified fractional integral formulas forthe multivariable H-function.
H Srivastava,H,M Daoust (1969). Certain generalized Neumann expansions associated with Kampé de Fériet function.
H Srivastava,M Garg (1987). Some integrals involving general class of polynomials and the multivariable H function.
H Srivastava,M Hussain (1995). Fractional integration of the H-function of several variables.
H Srivastava,P Karlsson (1985). Multiple Gaussian Hypergeometric series.
H Srivastava,Rekha Panda (1975). Some analytic or asymptotic confluent expansions for functions of several variables.
H Srivastava,R Panda (1976). Some bilateral generating functions for a class of generalized hypergeometric polynomials.
Frédéric Ayant (1987). Some finite integrals and Fourier serie involving general class of polynomials, biorthogonal polynomials, Aleph-function and the multivariable Aleph-function.

Download References

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

Frederic Ayant. 2017. "On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F8).

More Citation Formats

Select Citation Style:

Download Citation

GJSFR Volume 17 Issue F8

Explore Journals Explore Volume Read This Issue

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Not Found

Classification

GJSFR-F Classification MSC 2010: 05C45

Submission ReceivedOctober 17, 2017
Peer Review Double Blind
Handling Editor
Accepted November 7, 2017
Published November 19, 2017

Version of record

v1.2

Issue date

December 19, 2017

Language

English

Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

View in VR

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

View in 3D

Article Matrices

Total Score: 175

Country: France

Subject: Global Journal of Science Frontier Research

Authors: Frederic Ayant (PhD/Dr. count: 0)

View Count (all-time): 305

Total Views (Real + Logic): 795

Total Downloads (simulated): 51

Publish Date: 2017 11, Sun

Monthly Totals (Real + Logic):

Month 1: 60 views
Month 2: 23 views
Month 3: 17 views
Month 4: 24 views
Month 5: 50 views
Month 6: 29 views
Month 7: 29 views
Month 8: 22 views
Month 9: 37 views
Month 10: 43 views
Month 11: 41 views
Month 12: 35 views
Month 13: 10 views
Month 14: 38 views
Month 15: 40 views
Month 16: 35 views
Month 17: 49 views
Month 18: 34 views
Month 19: 29 views
Month 20: 24 views
Month 21: 33 views
Month 22: 22 views
Month 23: 38 views
Month 24: 27 views
Month 25: 35 views
Month 26: 28 views
Month 27: 25 views
Month 28: 26 views
Month 29: 14 views
Month 30: 46 views
Month 31: 39 views
Month 32: 43 views
Month 33: 46 views
Month 34: 39 views
Month 35: 47 views
Month 36: 40 views
Month 37: 22 views
Month 38: 15 views
Month 39: 18 views
Month 40: 31 views
Month 41: 27 views
Month 42: 21 views
Month 43: 30 views
Month 44: 34 views
Month 45: 32 views
Month 46: 26 views
Month 47: 31 views
Month 48: 37 views
Month 49: 41 views
Month 50: 29 views
Month 51: 23 views
Month 52: 25 views
Month 53: 33 views
Month 54: 40 views
Month 55: 25 views
Month 56: 41 views
Month 57: 32 views
Month 58: 25 views
Month 59: 43 views
Month 60: 25 views
Month 61: 16 views
Month 62: 18 views
Month 63: 41 views
Month 64: 22 views
Month 65: 16 views
Month 66: 25 views
Month 67: 38 views
Month 68: 29 views
Month 69: 26 views
Month 70: 42 views
Month 71: 41 views
Month 72: 29 views
Month 73: 31 views
Month 74: 26 views
Month 75: 32 views
Month 76: 26 views
Month 77: 33 views
Month 78: 27 views
Month 79: 19 views
Month 80: 37 views
Month 81: 18 views
Month 82: 48 views
Month 83: 24 views
Month 84: 17 views
Month 85: 19 views
Month 86: 14 views
Month 87: 31 views
Month 88: 30 views
Month 89: 49 views
Month 90: 35 views
Month 91: 28 views
Month 92: 21 views
Month 93: 36 views
Month 94: 38 views
Month 95: 36 views
Month 96: 31 views
Month 97: 35 views
Month 98: 36 views
Month 99: 47 views
Month 100: 46 views
Month 101: 35 views
Month 102: 46 views
Month 103: 13 views
Month 104: 43 views
Month 105: 35 views
Month 106: 54 views

Total Views: 795

Total Downloads: 51

All Trends