Pathway Integral Operator Associated with Aleph-Function and General Polynomials

Pathway Integral Operator Associated with Aleph-Function and General Polynomials

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Dr. Rinku Jain

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Dr. Kirti Arekar

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α Somaiya Vidyavihar University

Pathway Integral Operator Associated with Aleph-Function and General Polynomials

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Abstract

This paper is devoted to the study of a pathway fractional integral operator associated with the pathway model and pathway probability density for the ℵ-function and a generalized polynomial in the kernel. By specializing the coefficients and various parameters in the generalized polynomials and ℵ-function, our main theorem would readily yield several interesting results.

References

9 Cites in Article

Reference Format

A Mathai (2005). A pathway to matrix-variate gamma and normal densities.
A Mathai,H Haubold (2008). On generalized distributions and pathways.
A Mathai,H Haubold (2007). Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy.
Charles Fox (1961). The $G$ and $H$ functions as symmetrical Fourier kernels.
H Srivastava (1985). A multilinear generating function for the Konhausar sets of biortogonal polynomials suggested by the Laguerre polynomials.
B Südland,Baumann,Nonnenmacher (1998). Open problem: who knows about the Aleph (‫-)א‬functions?.
S Samko,A Kilbas,O Marichev (1993). Fractional Integrals and Derivatives, Theory and Applications.
S Nair (2009). Pathway fractional Integration operator.
B Chaurasia,Neeti Ghiya Pathway fractional integral Operator pertaining.

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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. Rinku Jain. 2013. \u201cPathway Integral Operator Associated with Aleph-Function and General Polynomials\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F3): .

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GJSFR Volume 13 Issue F3
Pg. 1- 6

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

aleph function (ℵ- function)generalized polynomial Pathway fractional integral operator

Submission ReceivedMarch 6, 2013
Peer Review Double Blind
Handling Editor
Accepted April 3, 2013
Published April 18, 2013

Version of record

v1.2

Issue date

May 6, 2013

Language

en

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Article Matrices

Total Score: 112

Country: India

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

Authors: Dr. Rinku Jain, Dr. Kirti Arekar (PhD/Dr. count: 2)

View Count (all-time): 143

Total Views (Real + Logic): 5003

Total Downloads (simulated): 2693

Publish Date: 2013 05, Mon

Monthly Totals (Real + Logic):

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Total Views: 5003

Total Downloads: 2693

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Published Article

This paper is devoted to the study of a pathway fractional integral operator associated with the pathway model and pathway probability density for the ℵ-function and a generalized polynomial in the kernel. By specializing the coefficients and various parameters in the generalized polynomials and ℵ-function, our main theorem would readily yield several interesting results.

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