  The aim of this research paper is to obtain explicit expressions of
  (i) $ {}_1F_1 \left[\begin{array}{c} \alpha \\ 2\alpha + i \end{array} ; x
\right]. {}_1F_1\left[ \begin{array}{c} \beta \\ 2\beta + j \end{array} ; x
\right]$
  (ii) ${}_1F_1 \left[ \begin{array}{c} \alpha \\ 2\alpha - i \end{array} ; x
\right] . {}_1F_1 \left[ \begin{array}{c} \beta \\ 2\beta - j \end{array} ; x
\right]$
  (iii) ${}_1F_1 \left[ \begin{array}{c} \alpha \\ 2\alpha + i \end{array} ; x
\right] . {}_1F_1 \left[\begin{array}{c} \beta \\ 2\beta - j \end{array} ; x
\right]$
  in the most general form for any $i,j=0,1,2,\ldots$
  For $i=j=0$, we recover well known and useful identity due to Bailey. The
results are derived with the help of a well known Bailey's formula involving
products of generalized hypergeometric series and generalization of Kummer's
second transformation formulas available in the literature. A few interesting
new as well as known special cases have also been given.
