International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 13 Issue 11, November 2024 | Popularity: 4.8 / 10


     

Few Identities of Rogers-Ramanujan Type and Some q-Product Identities Arising from Theta Function Identities

Shaikh Fokor Uddin Ali Ahmed


Abstract: In this paper, some identities of the Rogers-Ramanujan Type modulo 5, 7, 10, 12 and 14 has been derived analytically from the generalised Watson's q-analogue of Whipple's theorem. We also have derived some q-product Identities from the generalised Schroter's formula by using Ramanujan's Theta function Identities.


Keywords: Watson's q-analogue of Whipple's theorem, Ramanujan's theta function, generalised Schroter's formula, Jacobis Triple Product Identity


Edition: Volume 13 Issue 11, November 2024


Pages: 1217 - 1220


DOI: https://www.doi.org/10.21275/SR241119191352



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Shaikh Fokor Uddin Ali Ahmed, "Few Identities of Rogers-Ramanujan Type and Some q-Product Identities Arising from Theta Function Identities", International Journal of Science and Research (IJSR), Volume 13 Issue 11, November 2024, pp. 1217-1220, https://www.ijsr.net/getabstract.php?paperid=SR241119191352, DOI: https://www.doi.org/10.21275/SR241119191352