A Unified Integral Associated with the Aleph Function

A Unified Integral Associated with the Aleph Function

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Dr. Ashok Singh Shekhawat

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Harshita Garg College Principal

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α Rajasthan Technical University

A Unified Integral Associated with the Aleph Function

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Abstract

In this note we obtain a unified new integral whose integrand contains product of Aleph function and generalized multivariable polynomials having general arguments. Several integrals containing many simpler functions follow as special cases of this integral.

References

12 Cites in Article

Reference Format

C Fox (1961). The G and H functions as symmetrical Fourier kernels.
M Garg,S Mittal (2004). On a new unified integral.
F Oberthettinger (1974). Tables of Mellin transforms.
R Saxena,T Pogany (2010). Mathieu-type series for the Aleph-function occurring in Fokker-Planck equation.
V Saxena (2008). The I-function.
H Srivastava (1985). A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials.
H Srivastava,M Daoust (1969). Certain generalized Neumann expansions associated with the Kampé de Fériet function.
H Srivastava,R Panda (1996). some bilateral generating function for a class of generalized hyper geometric polynomials.
H Srivastava,N Singh (1983). The integration of certain products of the multivariableH-function with a general class of polynomials.
H Srivastava,K Gupta,S Goyal (1982). The H functions of one and two variables with applications.
N Südland,B Baumann,T Nonnenmacher (1998). Who knows about the Aleph (ℵ)-function? Fract.
C Szego (1975). Orthogonal 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

Dr. Ashok Singh Shekhawat. 2015. \u201cA Unified Integral Associated with the Aleph Function\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F1): .

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GJSFR Volume 15 Issue F1
Pg. 11- 16

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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: 31A10

Submission ReceivedJanuary 15, 2015
Peer Review Double Blind
Handling Editor
Accepted February 5, 2015
Published February 20, 2015

Version of record

v1.2

Issue date

February 6, 2015

Language

en

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Article Matrices

Total Score: 107

Country: India

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

Authors: Dr. Ashok Singh Shekhawat, Harshita Garg (PhD/Dr. count: 1)

View Count (all-time): 201

Total Views (Real + Logic): 4013

Total Downloads (simulated): 2231

Publish Date: 2015 02, Fri

Monthly Totals (Real + Logic):

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Total Views: 4013

Total Downloads: 2231

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Published Article

In this note we obtain a unified new integral whose integrand contains product of Aleph function and generalized multivariable polynomials having general arguments. Several integrals containing many simpler functions follow as special cases of this integral.

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