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Bessel Polynomials
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Artikel-Nr:
9783540091042
Veröffentl:
1978
Einband:
Paperback
Erscheinungsdatum:
05.12.1978
Seiten:
200
Autor:
E. Grosswald
Gewicht:
312 g
Format:
235x155x12 mm
Serie:
698, Lecture Notes in Mathematics
Sprache:
Englisch
Beschreibung:
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.
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.