1972The Journal of the Acoustical Society of AmericaRequires access

Calculation of Spheroidal Wave Functions

A. L. Van Buren, R. V. Baier, S. Hanish, B. J. King

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Abstract

FORTRAN computer programs have been developed which accurately and rapidly evaluate for a wide range of parameters both prolate and oblate spheroidal radial wave functions of the first and second kind and their first derivatives, and both prolate and oblate spheroidal angle wave functions of the first kind and their first and second derivatives. This letter briefly discusses available documentation on these programs and describes some of the computational procedures necessary for their success. In addition, recently published tables of spheroidal radial wave functions calculated using these programs are described.

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FORTRAN computer programs have been developed which accurately and rapidly evaluate for a wide range of parameters both prolate and oblate spheroidal radial wave functions of the first and second kind and their first derivatives, and both prolate and oblate spheroidal angle wave functions of the first kind and their first and second derivatives. This letter briefly discusses available documentation on these programs and describes some of the computational procedures necessary for their success. In addition, recently published tables of spheroidal radial wave functions calculated using these programs are described.

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Available abstract

FORTRAN computer programs have been developed which accurately and rapidly evaluate for a wide range of parameters both prolate and oblate spheroidal radial wave functions of the first and second kind and their first derivatives, and both prolate and oblate spheroidal angle wave functions of the first kind and their first and second derivatives. This letter briefly discusses available documentation on these programs and describes some of the computational procedures necessary for their success. In addition, recently published tables of spheroidal radial wave functions calculated using these programs are described.

Key concepts: Prolate spheroidal coordinates, Fortran, Oblate spheroid, Prolate spheroid, Wave function, Range (aeronautics), Documentation, Computer science

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