Interesting Theta Function Identities Related to Jacobi Triple-Product

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Getachew Abiye Salilew
Getachew Abiye Salilew
α Madda Walabu University

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Interesting Theta Function Identities Related to Jacobi Triple-Product

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Abstract

In this article, the author provide elementry proof for two (pre-sumably new) theta function identities.

References

11 Cites in Article
  1. Jorge Luis,Cimadevilla Villacorto,M Chaudhary On Certain theta function identities.
  2. H Schroter (1854). SECTIO SEPTIMA DE AEQUATIONIBUS CIRCULI SECTIONES: DEFINIENTIBUS.
  3. M Hirschorn (1988). A simple proof of an identity of Ramanujan.
  4. G Jacobi (1829). Fundamenta nova theoriae functionum ellipticarum.
  5. M Chaudhary,G Salilew,J Choi (2017). Two theta function identities.
  6. M Chaudhary,G Salilew,J Choi (2017). Two identities involving theta functions.
  7. Hari Srivastava,M Chaudhary,Sangeeta Chaudhary (2018). Some Theta-Function Identities Related to Jacobi’s Triple-Product Identity.
  8. Shaun Cooper (2006). THE QUINTUPLE PRODUCT IDENTITY.
  9. Z Cao (2011). Integer matrix exact covering sytems and product identities for theta functions.
  10. M Chaudhary,Junesang Choi (2015). NOTE ON MODULAR RELATIONS FOR THE ROGER-RAMANUJAN TYPE IDENTITIES AND REPRESENTATIONS FOR JACOBIAN IDENTITY.
  11. Interesting Theta Function Identities Related to Jacobi Triple -Product.

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

Getachew Abiye Salilew. 2018. \u201cInteresting Theta Function Identities Related to Jacobi Triple-Product\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F5): .

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Issue Cover
GJSFR Volume 18 Issue F5
Pg. 33- 35
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 11A41, 33E20.
Version of record

v1.2

Issue date

July 20, 2018

Language
en
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Published Article

In this article, the author provide elementry proof for two (pre-sumably new) theta function identities.

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Interesting Theta Function Identities Related to Jacobi Triple-Product

Getachew Abiye Salilew
Getachew Abiye Salilew Madda Walabu University

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