Skip to main content

Formal Power Series in One Indeterminate

  • 1483 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 2034)

Abstract

THE aim of this chapter is to collect some prerequisites on formal power series in one indeterminate, needed in this Book. One of the main aims is to furnish a purely algebraic proof of the fact that, by substituting into each other – in any order – the two series

$$\sum^\infty_{n=1} \frac{x^n}{n!} \quad {\rm and} \quad \sum^\infty_{n=1} \frac{(-1)^{(n+1)}x^n}{n}$$

one obtains the result x.

Keywords

  • Associative Algebra
  • Formal Power Series
  • Recursion Formula
  • Bernoulli Number
  • Left Inverse

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   79.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   99.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrea Bonfiglioli .

Rights and permissions

Reprints and Permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Bonfiglioli, A., Fulci, R. (2012). Formal Power Series in One Indeterminate. In: Topics in Noncommutative Algebra. Lecture Notes in Mathematics(), vol 2034. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22597-0_9

Download citation