Bessel Polynomials
β Emil Grosswald (auth.)
π Library
π
1978
π Springer-Verlag Berlin Heidelberg
π English
β¦ LIBER β¦
π
Bessel Polynomials
β Scribed by Emil Grosswald (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1978
- Tongue
- English
- Leaves
- 195
- Series
- Lecture Notes in Mathematics 698
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Table of Contents
Historic sketch....Pages 1-3
Bessel polynomials and bessel functions: Differential equations and their solutions....Pages 4-17
Recurrence relations....Pages 18-24
Moments and orthogonality on the unit circle....Pages 25-33
Relations of the BP to classical orthonormal polynomials and to other functions....Pages 34-40
Generating functions....Pages 41-50
Formulas of rodrigues' type....Pages 51-58
The BP and continued fractions....Pages 59-63
Expansions of functions in series of BP....Pages 64-74
Properties of the zeros of BP....Pages 75-98
On the algebraic irreducibility of the BP....Pages 99-115
The galois group of B.P.....Pages 116-123
Asymptotic properties of the BP....Pages 124-130
Applications....Pages 131-149
Miscellanea....Pages 150-161
β¦ Subjects
Mathematics, general
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β Peter Borwein, TamΓ‘s ErdΓ©lyi (auth.)
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1995
π Springer-Verlag New York
π English
<p>Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in