Ebook: Bessel Polynomials

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Content:
Front Matter....Pages -
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
Back Matter....Pages -

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Content:
Front Matter....Pages -
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
Back Matter....Pages -
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