An asymptotic expansion is given for the series [Formula omited] as x→∞ in the sector [inline-graphic]. Here δ, Re(a), and Re(s) are positive and r is a positive case a = r = s= 1, this yields the nontrivial result [Formula omited], 2 16 56 [Formula omited] [Formula omited] stated by Ramanujan in his notebooks .
|Original language||English (US)|
|Number of pages||11|
|Journal||Proceedings of the Edinburgh Mathematical Society|
|State||Published - Jun 1992|
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