E. Grosswald

Bessel Polynomials

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 698
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09104-2
• 1978.
• Seitenzahl: 200
• Erscheinungstermin: 5. Dezember 1978
• Englisch
• Abmessung: 235mm x 155mm x 12mm
• Gewicht: 330g
• ISBN-13: 9783540091042
• ISBN-10: 3540091041
• Artikelnr.: 23561270

Inhaltsangabe

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.