More Zeros Of Bessel Function Cross Products
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Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 72 |
Release | : 1968 |
Genre | : Bessel functions |
ISBN | : |
The report contains tables of the first five roots of the following transcendental equations: (a) J sub 0 (alpha) Y sub 0 (kalpha) = Y sub 0 (alpha) J sub 0 (k alpha); (b) J sub 1 (alpha) Y sub 1 (k alpha) = Y sub 1 (alpha) J sub 1 (k alpha); (c) J sub 0 (alpha) Y sub 1 (k alpha) = Y sub 0 (alpha) J sub 1 (k alpha) where J sub 0 (alpha), Y sub 0 (alpha), J sub 1 (alpha), Y sub 1 (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. However, because of symmetry, it is sufficient in the first two cases to tabulate the roots only for 0
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 56 |
Release | : 1968 |
Genre | : Approximation theory |
ISBN | : |
The report contains tables of the first five roots of the following transcendental equations: (a) J sub 0 (alpha) Y sub 0 (kalpha) = Y sub 0 (alpha) J sub 0 (k alpha); (b) J sub 1 (alpha) Y sub 1 (k alpha) = Y sub 1 (alpha) J sub 1 (k alpha); (c) J sub 0 (alpha) Y sub 1 (k alpha) = Y sub 0 (alpha) J sub 1 (k alpha) where J sub 0 (alpha), Y sub 0 (alpha), J sub 1 (alpha), Y sub 1 (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. However, because of symmetry, it is sufficient in the first two cases to tabulate the roots only for 0
Author | : Henry E. Fettis |
Publisher | : |
Total Pages | : 82 |
Release | : 1966 |
Genre | : Bessel functions |
ISBN | : |
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).
Author | : L. Jackson Laslett |
Publisher | : |
Total Pages | : 178 |
Release | : 1960 |
Genre | : Bessel functions |
ISBN | : |
Author | : Yudell L. Luke |
Publisher | : Academic Press |
Total Pages | : 587 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483262456 |
Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.
Author | : |
Publisher | : |
Total Pages | : 1264 |
Release | : 1967 |
Genre | : Aeronautics |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 1150 |
Release | : 1977 |
Genre | : Aeronautics |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 772 |
Release | : 1983 |
Genre | : Electronic journals |
ISBN | : |
Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
Author | : |
Publisher | : |
Total Pages | : 620 |
Release | : 1974 |
Genre | : Mechanics, Applied |
ISBN | : |
Author | : Pi Mu Epsilon |
Publisher | : |
Total Pages | : 606 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : |