Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
A Brief History of the Favard Operator and Its Variants Read chapter Read first chapter

2016 | OriginalPaper | Chapter

An Umbral Calculus Approach to Bernoulli–Padé Polynomials

Authors : Dae San Kim, Taekyun Kim

Published in: Mathematical Analysis, Approximation Theory and Their Applications

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, we consider Bernoulli–Padé polynomials of fixed order whose generating function is based on the Padé approximant of the exponential function. We derive, by using umbral calculus techniques, several recurrence relations for these polynomials and investigate connections between our polynomials and several known families of polynomials.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter A Tour on p(x)-Laplacian Problems When p = ∞
next chapter Hadamard Matrices: Insights into Their Growth Factor and Determinant Computations
Literature
1.
Dilcher, K.: Bernoulli numbers and confluent hypergeometric functions. In: Number Theory for the Millennium, I (Urbana, IL, 2000), pp. 343–363. A K Peters, Natick, MA (2002)
2.
3.
4.
5.
6.
Howard, F.T.: Properties of the van der Pol numbers and polynomials. J. Reine Angew. Math. 260, 35–46 (1973)MathSciNetMATH
7.
8.
Howard, F.T.: Properties of the van der Pol numbers and polynomails, J. Reine Angew. Math. 260, 35–46 (1973)MathSciNetMATH
9.
10.
Kim, D.S., Kim, T., Dolgy, D.V., Komatsu, T.: Barnes-type degenerate Bernoulli polynomials. Adv. Stud. Contemp. Math. 25, 121–146 (2015)MATH
11.
12.
13.
Roman, S.: The umbral calculus. In: Pure and Applied Mathematics, vol. 111. Academic/ [Harcourt Brace Jovanovich Publishers], London/New York (1984)
Metadata
Title
An Umbral Calculus Approach to Bernoulli–Padé Polynomials
Authors
Dae San Kim
Taekyun Kim
Copyright Year
2016
Book
Mathematical Analysis, Approximation Theory and Their Applications

Print ISBN: 978-3-319-31279-8

Electronic ISBN: 978-3-319-31281-1

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-31281-1_16

Premium Partner

    Image Credits