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

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

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

M.P.Chaudhary. 2015. "Some Relationships Between Infinite Product Identities, Continued-Fraction Identities and Combinatorial Partition Identities". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F4).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2010: Primary 05A30
11F27; Secondary 05A17
11P83.
Version of record

v1.2

Issue date
June 4, 2015

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

M.P.Chaudhary
M.P.Chaudhary <p>Amercian Mathematical Society, USA</p>