| Title | GENERALIZATION OF A SUMMATION DUE TO RAMANUJAN |
| Author/s | Tibor K. Pogány, Arjun K. Rathie, Ujjawal Pandey |
| Citation | T. K. Pogány, A. K. Rathie and U. Pandey, "GENERALIZATION OF A SUMMATION DUE TO RAMANUJAN", Contributions, Sec. Math. Tech. Sci., MASA, ISSN 0351–3246, Vol. 30, no.1-2, 2009, pp.67-73. |
| Abstract | The aim of this research note is to find the sum of the series 1+(x-1)/(x+1+j)+{(x-1)(x-2)}/{(x+1+j)(x+2+j)}+.. (R{x}>0) for j = 0, 1, 2, 3, 4, 5. When j = 0, we get a summation due to Ramanujan. The results are derived with the help of generalized Kummer's theorem obtained already by Lavoie, Grandie and Rathie. |
| Keywords | Hypergeometric 2F1; Kummer's summation theorem; Ramanujan summation formula |
