## Kodai Mathematical Journal

- Kodai Math. J.
- Volume 24, Number 1 (2001), 36-41.

### Some {$q$}-identities associated with Ramanujan's continued fraction

#### Abstract

A continued fraction *C(-q,q)* is defined as a special case of a general continued fraction *F(a,b,c,*{$\lambda$}*q)*, which we have considered earlier in a separate paper. This continued fraction is also a special case of Ramanujan's continued fraction. In this paper we have found some very interesting *q*-identities and some identities analogous to identities given by Ramanujan involving *G(-q,q)* and *H(-q,q)* and one identity which gives the square of a continued fraction.

#### Article information

**Source**

Kodai Math. J., Volume 24, Number 1 (2001), 36-41.

**Dates**

First available in Project Euclid: 19 January 2005

**Permanent link to this document**

https://projecteuclid.org/euclid.kmj/1106157293

**Digital Object Identifier**

doi:10.2996/kmj/1106157293

**Mathematical Reviews number (MathSciNet)**

MR1813716

**Zentralblatt MATH identifier**

0977.33014

**Subjects**

Primary: 33D15: Basic hypergeometric functions in one variable, $_r\phi_s$

Secondary: 11B65: Binomial coefficients; factorials; $q$-identities [See also 05A10, 05A30]

#### Citation

Srivastava, Bhaskar. Some {$q$}-identities associated with Ramanujan's continued fraction. Kodai Math. J. 24 (2001), no. 1, 36--41. doi:10.2996/kmj/1106157293. https://projecteuclid.org/euclid.kmj/1106157293