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