Abstract
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 [6].
Original language | English (US) |
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Pages (from-to) | 189-199 |
Number of pages | 11 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 35 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1992 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics