Ramanujan Remarkable Summation Formula and an Interesting Convolution Identity

In this note we obtain a convolution identity for the coefficients B(n)(alpha, theta, q) defined by PI(n=1)infinity (1 + 2xq(n) costheta + x2q2n)/PI(n=1)infinity (1 + 2alphaxq(n) costheta + alpha2x2q2n) = SIGMA(n=-infinity)infinity B(n)(alpha, theta, q)x(n) using Ramanujan's 1PSI1 summation. The identity contains as special cases convolution identities of Kung-Wei Yang and a few more interesting analogue