Chapter 24 Bernoulli and Euler Polynomials
- Acknowledgments:
- This chapter is based in part on Abramowitz and Stegun (1964, Chapter 23) by E. V. Haynsworth and K. Goldberg.
- Notes:
- The main references used in writing this chapter are Erdélyi et al. (1953a, Chapter 1), Nörlund (1924, Chapter 2), and Nörlund (1922). Introductions to the subject are contained in Dence and Dence (1999) and Rademacher (1973); see also Apostol (2008). A comprehensive bibliography on the topics of this chapter can be found in Dilcher et al. (1991).
- Referenced by:
- Karl Dilcher, § ‣ § Software Cross Index
- Permalink:
- http://dlmf.nist.gov/24
Dalhousie University, Halifax, Nova Scotia, Canada.
- Notation
-
Properties
- 24.2 Definitions and Generating Functions
- 24.3 Graphs
- 24.4 Basic Properties
- 24.5 Recurrence Relations
- 24.6 Explicit Formulas
- 24.7 Integral Representations
- 24.8 Series Expansions
- 24.9 Inequalities
- 24.10 Arithmetic Properties
- 24.11 Asymptotic Approximations
- 24.12 Zeros
- 24.13 Integrals
- 24.14 Sums
- 24.15 Related Sequences of Numbers
- 24.16 Generalizations
- Applications
- Computation