Bessel Polynomials - E. Grosswald
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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 ... Full description
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Description
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.
More Information
| Author | E. Grosswald |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Release year | 1978 |
| Cover type | Softcover |
| EAN | 9783540091042 |