Table of Modified Bessel Functions

Table of Modified Bessel Functions
Author: Henry E. Fettis
Publisher:
Total Pages: 240
Release: 1969
Genre: Bessel functions
ISBN:
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The report contains 15 place tables of the modified Bessel functions I(sub 0(x), I(sub 1(x), e (sup -x) I(sub o)(x), e(sup -X) I(sub 1(x) for x=0(0.001)10.

Tables of the Bessel-Kelvin Functions Ber, Bei, Ker, Kei, and Their Derivatives for the Argument Range 0(0.01)107.50

Tables of the Bessel-Kelvin Functions Ber, Bei, Ker, Kei, and Their Derivatives for the Argument Range 0(0.01)107.50
Author: Herman H. Lowell
Publisher:
Total Pages: 306
Release: 1959
Genre: Bessel functions
ISBN:
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Self-checking digital and tabulating equipment was used for calculation of the tables. For ber, bei, ber', and bei', the number of significant figures is either 13 or 14 for the two absolutely larger functions but is generally less for the remaining two. For ker, and so forth, the number of significant figures varies from a minimum of 9 for the absolutely largest function at arguments near 9 to a maximum of 14 elsewhere; 13 or 14 is achieved for all arguments greater than 14. The number of significant figures for the remaining three functions of the second kind is in general less at a given argument than for the absolutely largest function.

Tables of Bessel Transforms

Tables of Bessel Transforms
Author: F. Oberhettinger
Publisher: Springer Science & Business Media
Total Pages: 299
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642654622
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This material represents a collection of integral tra- forms involving Bessel (or related) functions as kernel. The following types of inversion formulas have been singled out. k I. g(y) = f (x) (xy) 2J (xy) dx J V 0 k I' . f (x) g (y) (xy) 2J (xy) dy J V 0 II. g(y) f(x) (XY)~K (xy)dx J v 0 c+ioo k 1 II'. f (x) = g (y) (xy) 2 [Iv (xy) + I_v(xy)]dy J 27fT c-ioo or also c+ioo k 1 II". f(x) = g (y) (xy) 2Iv (xy) dx J rri oo c-i k III. g(y) f(x) (xy) 2y (xy) dx + J v 0 k III' . f(x) g(y) (xy) "1lv (xy) dy J 0 k IV. g(y) f (x) (xy) "Kv (xy) dx J 0 k g(y) (xy) 2Y (xy)dy IV' - f(x) J v 0 V Preface V. g(y) f(X)Kix(y)dx J 0 -2 -1 sinh (7TX) V'. f(x) 27T x g(y)y Kix(y)dy J 0 21-~[r(~~+~-~v)r(~~+~+~v)]-1 VI. g(y) . J f (x) (xy) ~s (xy) dx o ~, v l-~ -1 VI' . f(x) 2 [r (~~+~-~v) r (~~+~+~v)] - - J -5 (xy)]dy g(y) (XY)~[S~, v(xy) ~, v 0 [xy)~]dX VII. g(y) f(x)\ ~ J 0 0 VII' - f(x) g(y) \ [(xy) lz]dy ~ f 0 0 with \ (z) o (For notations and definitions see the appendix of this book.) The transform VII is also known as the divisor transform.

An Extended Table of Zeros of Cross Products of Bessel Functions

An Extended Table of Zeros of Cross Products of Bessel Functions
Author: Henry E. Fettis
Publisher:
Total Pages: 82
Release: 1966
Genre: Bessel functions
ISBN:
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The report contains tables of the first five roots of the following transcendental equations: (a) J0(alpha) Y0(alpha) = Y0(alpha) J0(alpha); (b) J1(alpha) Y1(alpha) = Y1(alpha) J1(alpha); (c) J0(alpha) Y1(alpha) = Y0(alpha) J1(alpha) where J0(alpha), Y0(alpha), J1(alpha), Y1(alpha) are Bessel functions of order 0 and 1 respectively. In these equations, alpha is the unknown and k is a parameter which may assume any positive value, other than 0 or 1. Additional tables are included listing an auxiliary quantity gamma which is better suited to interpolation particularly when k is close to unity. (Author).