Chapter 1 Algebraic and Analytic Methods
R. Roy
Affiliation: Department of Mathematics and Computer Science, Beloit College,
Beloit, Wisconsin.
F. W. J. Olver
Affiliation: Institute for Physical Science and Technology and
Department of Mathematics,
University of Maryland, College Park, Maryland.
R. A. Askey
Affiliation: Department of Mathematics, University of Wisconsin,
Madison, Wisconsin.
R. Wong
Affiliation: Liu Bie Ju Centre for Mathematical Sciences,
City University of Hong Kong,
Kowloon, Hong Kong.
W. P. Reinhardt
Affiliation: Department of Chemistry,
University of Washington, Campus Box 351700,
Seattle, Washington, 98195-1700, USA.
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- Acknowledgements:
- The authors thank Leonard Maximon and William Parke for their assistance with the writing of §1.17.
- Referenced by:
- DLMF Update; Version 1.2.0, Profile Frank W. J. Olver, Profile Richard A. Askey, Profile Ranjan Roy, Profile Ranjan Roy, Profile Roderick S. C. Wong, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Chapter Authors, § ‣ Associate Editors, Erratum (V1.1.6) for Chapters 1 Algebraic and Analytic Methods, 10 Bessel Functions, 14 Legendre and Related Functions, 18 Orthogonal Polynomials, 29 Lamé Functions, Erratum (V1.2.0) for Chapter 1 Additions, Version 1.2.0 (March 27, 2024), Version 1.2.0 (March 27, 2024)
- Permalink:
- http://dlmf.nist.gov/1
- Notation
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Topics of Discussion
- 1.2 Elementary Algebra
- 1.3 Determinants, Linear Operators, and Spectral Expansions
- 1.4 Calculus of One Variable
- 1.5 Calculus of Two or More Variables
- 1.6 Vectors and Vector-Valued Functions
- 1.7 Inequalities
- 1.8 Fourier Series
- 1.9 Calculus of a Complex Variable
- 1.10 Functions of a Complex Variable
- 1.11 Zeros of Polynomials
- 1.12 Continued Fractions
- 1.13 Differential Equations
- 1.14 Integral Transforms
- 1.15 Summability Methods
- 1.16 Distributions
- 1.17 Integral and Series Representations of the Dirac Delta
- 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions