Multiple precision computation of some zeros of Bessel functions by rigorous explicit formulae

DOI10.1007/BF02576434zbMath0496.65026MaRDI QIDQ1170012

Fernando Zironi

Publication date: 1981

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

zeros of Bessel functionsfirst eigenvalue of the exponential potential Schrödinger operatorTrefftz-Fichera orthogonal invariants method

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

• Methods of intermediate problems for eigenvalues. Theory and ramifications
• A note on Hayman's theorem on the bass note of a drum
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