Roots of two transcendental equations determining the frequency spectra of standing spherical electromagnetic waves

Authors:
Robert L. Pexton and Arno D. Steiger

Journal:
Math. Comp. **31** (1977), 1000-1002

MSC:
Primary 65A05

DOI:
https://doi.org/10.1090/S0025-5718-1977-0443286-5

MathSciNet review:
0443286

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Abstract | References | Similar Articles | Additional Information

Abstract: Roots of the transcendental equations

*l*and the root index

*n*are:

**[1]**Robert L. Pexton and Arno D. Steiger,*Roots of two transcendental equations involving spherical Bessel functions*, Math. Comp.**31**(1977), no. 139, 752–753. MR**0438662**, https://doi.org/10.1090/S0025-5718-1977-0438662-0**[2]**H. L. BOYEN, A. M. MESSIAEN & P. E. VANDENPLAS, "Experimental and theoretical eigenmodes of a spherical cavity partially filled with plasma,"*J. Appl. Phys.*, v. 40, 1969, pp. 2296-2305.**[3]**Milton Abramowitz and Irene A. Stegun,*Handbook of mathematical functions with formulas, graphs, and mathematical tables*, National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR**0167642****[4]**J. M. Blatt,*A stable method of inverse interpolation*, Austral. Comput. J.**7**(1975), no. 2, 51–57. MR**0386219****[5]**Fr. MECHEL, "Improvement in recurrence techniques for the computation of Bessel functions of integral order,"*Math. Comp.*, v. 22, 1968, pp. 202-205.**[6]**W. J. LENTZ, "Generating Bessel functions in Mie scattering calculations using continued fractions,"*Applied Optics*, v. 15, 1976, pp. 668-671.

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DOI:
https://doi.org/10.1090/S0025-5718-1977-0443286-5

Keywords:
Roots of transcendental equations,
spherical Bessel functions,
modified spherical Bessel functions,
electromagnetic cavity resonators

Article copyright:
© Copyright 1977
American Mathematical Society