Title

New Summation Formulas for Multivariate Infinite Series By Using Sampling Theorems

Keywords

sampling theorems; special functions

Abstract

The aim of this paper is to show how sampling theory can play an important role in summing up infinite series in several variables. This will be demonstrated by deriving several summation formulas for doubly infinite series that are believed to be new. One of the interesting features of this work is that although the formulas appear to be complicated, their proofs are rather easy and straightforward when sampling theorems are employed. The summation formulas are derived by using theorems on both uniform and non-uniform sampling. © 1994, Taylor & Francis Group, LLC. All rights reserved.

Publication Date

8-1-1994

Publication Title

Applicable Analysis

Volume

54

Issue

1-2

Number of Pages

135-150

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/00036819408840272

Socpus ID

84963196532 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84963196532

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