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

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.

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Publication Details

Journal
International Journal of Science and Research (IJSR)
Published
2024-11-05
DOI
https://doi.org/10.21275/sr241119191352
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Sayel Ali
International Journal of Science and Research (IJSR)
Advanced Mathematical Identities
article

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

Sayel Ali
article en

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.

International Journal of Science and Research (IJSR)Vol. 13(11)
Openalex Percentile: Top 62%
Advanced Mathematical Identities
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Few Identities of Rogers-Ramanujan Type and Some q-Product Identities Arising from Theta Function Identities — Sayel Ali · International Journal of Science and Research (IJSR) (2024) | TGRS Research Map | TGRS