On Generalizations Of Two Ramanujan's Summations

As pointed out by Professor Berndt that the following two interesting summations due to Ramanujan [1] 1 + (x/11)(2) s/3x + (x(x - 1/2!)(2) x(x - 1)/3x(3x - 1) + ... = Gamma(3)(2x + 1)/Gamma(3)(x+1)Gamma(3x + 1) 1 + x/1! (x - 1)/(x + 1) x/(4x - 1) + x(x - 1)/2! (x - 1)(x - 2)/(x + 1)(x + 2) x(x - 1)/(4x - 1)(4x - 2) + ... = 8 Gamma(3)(3x + 1)Gamma(x + 1)/9 Gamma(3)(2x + 1)Gamma(4x + 1) can be obtained quite simply by employing the classical Saalschutz's summation theorem. Recently an interesting extension of the classical Saalschutzs summation theorem has been given by Rakha and Rathie. The aim of this paper is to provide entensions of the above summation formulae due to Ramanujan. The results obtained in this paper are interesting, easily established and useful.