Title

An Extended Table of Zeros of Cross Products of Bessel Functions

Date

1966

Index Abstract

Not Available

Photo Quality

Not Needed

Report Number

ARL 66-0023

Creator

Fettis, Henry E.

Caslin, James C.

Corporate Author

Applied Mathematics Research Laboratory

Laboratory

Aerospace Research Laboratories

Extent

126

Identifier

AD0637474

AD0637474

Access Rights

Distribution of this document is unlimited

Distribution Classification

1

Contract

Laboratory Research - No Contract

DoD Project

7071

DTIC Record Exists

Yes

Distribution Change Authority Correspondence

None

Distribution Conflict

No

Report Availability

Full text available

Date Issued

1966-02

Abstract

The report contains tables of the first five roots of the following transcendental equations:
(a) J0(α) Y0(kα) = Y0(α) J0(kα) (b) J1(α) Y1(kα) = Y1(α) J1(kα) (c) J0(α) Y1(kα) = Y0(α) J1(kα)
where J0(α), Y0(α), J1(α), Y1(α) are Bessel functions of order 0 and 1 respectively. In these equations, α is the unknown and k is a parameter which may assume any positive value, other than 0 or 1. However, because of symmetry, it is sufficient in the first two cases to tabulate the roots only for 0 < k < 1. Following a suggestion of Bogert [1]*, additional tables are included listing an auxiliary quantity γ which is better suited to interpolation particularly when k is close to unity. The auxiliary function is defined in the three cases as follows:
cases (a) and (b): γn=((1-k)/nπ)αn;
case (c): γn=(|k-1|)/(n-1/2)π)αn,
where αn (n= 1,2,3...) is any root of the equation applicable to the case considered. The function γn has the important property that
Limγn=1k->1

Date Modified

Scanned by request 1/18/2018 submitted by Federal University of Technology, Minna (University - International)

Provenance

Bearcat

Type

report

Format

1 online resource