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
Copyright Status
Unknown
Socpus ID
69249221239 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/69249221239
STARS Citation
Van Gorder, Robert A., "Computation Of Certain Infinite Series Of The Form ∑ F (N) NK For Arbitrary Real-Valued K" (2009). Scopus Export 2000s. 11615.
https://stars.library.ucf.edu/scopus2000/11615