Title

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

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