Title

Computation Of Certain Infinite Series Of The Form ∑ F (N) NK For Arbitrary Real-Valued K

Keywords

Applications of Taylor series; Computation of infinite series; Fractional calculus; Generalized Bell polynomials; Generating functions

Abstract

We provide a general method from which one may obtain more arbitrary closed form solutions for infinite series of the form ∑ f (n) nk, for k ∈ R and sufficiently well-behaved f (n). We illustrate the methods for the special case of f (n) = an / n !, obtaining generalizations to the Bell numbers and polynomials. © 2009 Elsevier Inc. All rights reserved.

Publication Date

10-1-2009

Publication Title

Applied Mathematics and Computation

Volume

215

Issue

3

Number of Pages

1209-1216

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.amc.2009.06.064

Socpus ID

69249221239 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/69249221239

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