**INTRODUCTION**

Saxena and Kumar (1995), introduced the following basic
analogue of I-function in terms of the Mellin-Barnes type basic contour integral
as:

where, α_{j}, β_{j}, α_{ji}, β_{ji}, are real and positive, a_{j}, b_{j}, a_{ji}, b_{ji} are complex numbers

where, L is contour of integration running from - i∞ to i∞ in such a manner that all poles of G (q^{bj-βjs}) lie to right of the path and those of G (q^{1-aj+αjs}) are to the left of the path.

Setting r = 1, A_{i} = A, B_{i} = B, we get q-analogue of H-function
defined by Saxena *et al*. (1983) as follows:

Further, for r = 1, A_{i} = A, B_{i} = B, α_{j}
= β_{i} = 1, j = 1, 2, 3, ---- A, i = 1, 2, 3, --- B, Eq.
1. reduces to the basic analogue of Meijer's G-function given by Saxena
*et al*. (1983).

**MAIN RESULTS**

In this we establish an alternative definition of basic analogue of I-function by using q-gamma function:

We shall make use of I_{q} (.) notation for basic analogue of I-function and the same is defined as:

**Proof:** To prove (2) we consider the expression:

On multiplying above equation by:

and making use of the following identity given by Askey
(1978):

the left hand side takes the form:

Hence, we have:

If we take r = 1, A_{i} = A, B_{i} = B, we get following well know basic analogue of Fox's H function [3]:

**Transformation formulae of I**_{q} -Function: In this section
we derive number of transformation formulae for basic analogue of i-function.

**Theorem 3:**

**Proof:** Consider the L.H.S. of (3):

By definition of I_{q}- function, we get:

This completes the proof of theorem (3).

**Theorem 4:**

**Theorem 5:**

**Theorem 6:**

**Theorem 7:**

The proofs of theorem (4) to (7) are similar to that of theorem (3).

**Special cases:** If we take r = 1, A_{i} = A, B_{i} = B in theorems(3) to (7), we get the well-known results of basic analogue of Fox’s H-function[2].

**CONCLUSION**

In this study we have obtained some transformation formulae for basic analogues for I- function. These results are quite general in nature and reduce to corresponding results for G and H functions and their several special cases. Thus these results can be applied to various problems of mathematical physics.