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The Asymptotic Expansion of Certain Series Considered by Ramanujan

Ricardo Estrada and Ram P. Kanwal
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Ricardo Estrada: Universidad de Costa Rica, Escuela de Matemática
Ram P. Kanwal: The Pennsylvania State University, Department of Mathematics

Chapter Chapter 5 in Asymptotic Analysis, 1994, pp 195-232 from Springer

Abstract: Abstract In this chapter we study the asymptotic behavior as ε → 0 of series of the type 5.1.1 $$\sum\limits_{{n = 1}}^{\infty } {{a_{n}}\phi (n} \varepsilon )$$

Keywords: Asymptotic Expansion; Asymptotic Analysis; Moment Function; Diophantine Equation; Rapid Decay (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4684-0029-8_5

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DOI: 10.1007/978-1-4684-0029-8_5

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