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Bessel Polynomials [electronic resource] / by Emil Grosswald.
Material type:
TextSeries: Lecture Notes in Mathematics ; 698Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1978Description: XVI, 188 p. online resourceContent type: - text
- computer
- online resource
- 9783540355489
- 510 23
- QA1-939
Contents:
In:
Springer eBooks
Historic sketch -- Bessel polynomials and bessel functions: Differential equations and their solutions -- Recurrence relations -- Moments and orthogonality on the unit circle -- Relations of the BP to classical orthonormal polynomials and to other functions -- Generating functions -- Formulas of rodrigues' type -- The BP and continued fractions -- Expansions of functions in series of BP -- Properties of the zeros of BP -- On the algebraic irreducibility of the BP -- The galois group of B.P. -- Asymptotic properties of the BP -- Applications -- Miscellanea.
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Historic sketch -- Bessel polynomials and bessel functions: Differential equations and their solutions -- Recurrence relations -- Moments and orthogonality on the unit circle -- Relations of the BP to classical orthonormal polynomials and to other functions -- Generating functions -- Formulas of rodrigues' type -- The BP and continued fractions -- Expansions of functions in series of BP -- Properties of the zeros of BP -- On the algebraic irreducibility of the BP -- The galois group of B.P. -- Asymptotic properties of the BP -- Applications -- Miscellanea.
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