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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-3-540-09104-2 (9783540091042)
DOI
Schweitzer Klassifikation
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.
