Download or read book An Extended Table of Zeros of Cross Products of Bessel Functions written by Henry E. Fettis and published by . This book was released on 1966 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book An Extended Table of Zeros of Cross Products of Bessel Functions written by Henry E. Fettis and published by . This book was released on 1983 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Extended Tables of Zeros of Cross Products of Bessel Functions written by Henry E. Fettis and published by . This book was released on 1966 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book More Zeros of Bessel Function Cross Products written by Henry E. Fettis and published by . This book was released on 1968 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Mathematical Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 2014-05-10 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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Download or read book OAR Quarterly Index of Current Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1959 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book Evaluation of the Zeros of Cross product Bessel Functions written by L. Jackson Laslett and published by . This book was released on 1960 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book Mathematics of Computation written by and published by . This book was released on 1983 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book More Zeros of Bessel Function Cross Products written by Henry E. Fettis and published by . This book was released on 1968 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book OAR Cumulative Index of Research Results written by United States. Air Force. Office of Aerospace Research and published by . This book was released on 1965 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: