# On Bailey's 2psi2 Transformation

### From NZJM

**New Zealand Journal of Mathematics**

**Vol.** 42, (2012), **Pages** 107-113

**D. D. Somashekara **

Department of Studies in Mathematics,

University of Mysore,

Manasagangotri, Mysore-570006

India.

**K. Narasimha Murthy**

Department of Studies in Mathematics,

University of Mysore,

Manasagangotri, Mysore-570006

India.

**S. L. Shalini**

Department of Studies in Mathematics,

University of Mysore,

Manasagangotri, Mysore-570006

India.

mailto:shalinisl.maths@gmail.com

**Abstract** In this paper, we give a simple proof of Bailey's 2ψ2
transformation formula using the well-known *q*-Gauss summation
formula. Further, we give a new proof of a two variable
reciprocity theorem of Ramanujan and its three variable
generalization.

**Keywords** Bilateral transformation, Reciprocity theorems.

**Classification** (MSC2000) 33D15.