The asymptotic expansion of certain series considered by ramanujan
Document Type
Article
Publication Date
2-1-1992
Abstract
Using the theory of generalized functions, the asymptotic expansion of a class of series of number theoretical importance is derived. The development of the corresponding Lambert type series as well as other multidimensional series expansions are obtained. The notion of a distributionally small sequence is introduced and its relation with summability ideas is studied. Several illustrations are given. © 1992, Taylor & Francis Group, LLC. All rights reserved.
Publication Source (Journal or Book title)
Applicable Analysis
First Page
191
Last Page
228
Recommended Citation
Estrada, R. (1992). The asymptotic expansion of certain series considered by ramanujan. Applicable Analysis, 43 (3-4), 191-228. https://doi.org/10.1080/00036819208840061
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