Some Relationships Between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities

Some Relationships Between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities

α

dr._m._p._chaudhary

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σ

M.P.Chaudhary

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ρ

Diriba Kejela Geleta

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Ѡ

Gedefa Negassa Feyissa

Contact

α

Amercian Mathematical Society, USA

Ѡ Madda Walabu University

Some Relationships Between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities

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Abstract

The author establish a set of four presumbaly new results which depict the interrelationship between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities. Several closely related q-identities such as (for example) Jacobi’s tripleproduct identity are also considered.

References

7 Cites in Article

Reference Format

M Chaudhary (2014). Generalization for character formulas in terms of continued fraction identities.
George Andrews,Kathrin Bringmann,Karl Mahlburg (2015). Double series representations for Schur's partition function and related identities.
Shaun Cooper,Micheal Hirschhorn (2001). Om some infinite product identities.
Some Relationships between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities.
Richard Blecksmith,John Brillhart,Irving Gerst (1988). Some infinite product identities.
M Chaudhary (2013). On q-product identities.
M Chaudhary (2012). Applications of continued fraction identities.

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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._m._p._chaudhary. 2015. \u201cSome Relationships Between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F4): .

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GJSFR Volume 15 Issue F4
Pg. 87- 94

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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: Primary 05A30, 11F27; Secondary 05A17, 11P83.

Submission ReceivedApril 6, 2015
Peer Review Double Blind
Handling Editor
Accepted May 4, 2015
Published May 18, 2015

Version of record

v1.2

Issue date

June 4, 2015

Language

en

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Article Matrices

Total Score: 103

Country: Unknown

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

Authors: M.P.Chaudhary, Diriba Kejela Geleta, Gedefa Negassa Feyissa (PhD/Dr. count: 0)

View Count (all-time): 176

Total Views (Real + Logic): 4158

Total Downloads (simulated): 2174

Publish Date: 2015 06, Thu

Monthly Totals (Real + Logic):

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Total Views: 4158

Total Downloads: 2174

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Published Article

The author establish a set of four presumbaly new results which depict the interrelationship between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities. Several closely related q-identities such as (for example) Jacobi’s tripleproduct identity are also considered.

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