Tables Of Generalized Airy Functions For The Asymptotic Solution Of The Differential Equation

Author : L. N. Nosova
Publisher : Elsevier
ISBN 13 : 1483184994
Total Pages : 127 pages
Book Rating : 4.99/5 ( download)

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Download or read book Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equation written by L. N. Nosova and published by Elsevier. This book was released on 2014-06-20 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations contains tables of the special functions, namely, the generalized Airy functions, and their first derivatives, for real and pure imaginary values. The tables are useful for calculations on toroidal shells, laminae, rode, and for the solution of certain other problems of mathematical physics. The values of the functions were computed on the "Strela" highspeed electronic computer. This book will be of great value to mathematicians, researchers, and students.

Author : Li︠u︡bovʹ Nikolaevna Nosova
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.92/5 ( download)

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Download or read book Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations [epsilon](pyʹ)ʹ+(q+[epsilon]r)y written by Li︠u︡bovʹ Nikolaevna Nosova and published by . This book was released on 1965 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Li︠u︡bovʹ Nikolaevna Nosova
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.39/5 ( download)

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Download or read book Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations [epsilon](pyʹ)ʹ+(q+[epsilon]r)y written by Li︠u︡bovʹ Nikolaevna Nosova and published by . This book was released on 1965 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : British Association for the Advancement of Science
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.90/5 ( download)

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Download or read book The Airy Integral written by British Association for the Advancement of Science and published by . This book was released on 1946 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. V. Luk'Yanov
Publisher : Elsevier
ISBN 13 : 1483155013
Total Pages : 241 pages
Book Rating : 4.12/5 ( download)

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Download or read book Tables of Coulomb Wave Functions written by A. V. Luk'Yanov and published by Elsevier. This book was released on 2013-10-22 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of Coulomb Wave Functions (Whittaker Functions) focuses on tables compiled in the Mathematical Physics Department in conjunction with the Nuclear Reactions Laboratory of the Nuclear Physics Research Institute of Moscow State University. The book first states that Coulomb wave functions are used in the theory of nuclear reactions with charged particles, including protons, deuterons, and heavy ions. The text then offers information on the compilation and use of tables. The publication proceeds by highlighting the computations of various wave functions. These computations are presented in tabulated form. The manuscript also provides a list of volumes in the mathematical tables series. The book is a dependable source of data for scientists, engineers, and students working in the field of nuclear reactions.

Author : V.S. Aizenshtadt
Publisher : Elsevier
ISBN 13 : 148322290X
Total Pages : 169 pages
Book Rating : 4.05/5 ( download)

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Download or read book Tables of Laguerre Polynomials and Functions written by V.S. Aizenshtadt and published by Elsevier. This book was released on 2014-06-20 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of Laguerre Polynomials and Functions contains the values of Laguerre polynomials and Laguerre functions for n = 2 , 3 , . . . , 7 ; s = 0(0.1) 1; x = 0(0.1) 10(0.2) 30, and the zeroes and coefficients of the polynomials for n = 2 (1) 10 and s = 0(0.05) 1. The book also explains the Laguerre polynomials, their properties, Laguerre functions, and the tabulation of the Laguerre polynomials and functions. The book contains three tables: tables of values of Laguerre polynomials and functions, tables of the coefficients of the polynomials, and tables of their roots. The first table consists of six parts arranged successively in the ascending order of the degree n. Researchers have calculated the tables for a wider range of values of the parameters n, s and x (n = 2(1) 10, s = 0(0.05) 1, x = 0(0.1) 10(0.2) 30(0.5) 80) using computers at the Institute of Mathematics and Computer Technology of the Byelorussian Academy of Sciences and the Computer Centre of the Academy of Sciences of the U.S.S.R. Scientists and investigators at computer centers, research institutes, and engineering organizations will find the book highly valuable.

Author : L. S. Khrenov
Publisher : Elsevier
ISBN 13 : 1483184927
Total Pages : 383 pages
Book Rating : 4.20/5 ( download)

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Download or read book Six-Figure Tables of Trigonometric Functions written by L. S. Khrenov and published by Elsevier. This book was released on 2014-06-16 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE PRESENT six-figure trigonometric tables complete the series of tables of the natural values of the trigonometric functions published by Fizmatgiz. Now that small computers have become very widely available, almost all computations are carried out by machine, and the majority of computational schemes arc suited to this purpose. The situation calls urgently for the availability of tables containing the natural values of all six trigonometric functions. The following special factor emerges here. In logarithmic computations the same relative accuracy is guaranteed more or less automatically for all values of the argument: the number of correct significant figures in the result is either equal to or (in rare cases) one less than, the number of significant figures in the mantissa of the logarithm. In computations with natural values of the functions the same relative accuracy is guaranteed in practice for all arguments only by having a constant nmber of significant figures throughout the tables. Until recently however, tables of the natural values of the trigonometric functions have been compiled both in Russia and abroad with the same number of places after the decimal point, which leads to a loss of accuracy when computing with functions of small angles. In view of this there is an urgent need for tables of the natural values of the trigonometric functions with a constant number of significant figures which substantially guarantees roughly the- same relative accuracy for all angles. The present tables, together with the following, already published by Fizmatgiz: Fil'e-figure Tables (L. S. Khrenov~ 1954), Five-.figure Tables l~,ith the Argument in Time (L. S. Khrenov, 1954), Seven-figure Tables(L. S. Khrenov, 1956) and Six-figure Tables with the Argunlent in Time (S. A. Angelov, 1957), form a complete series ~ith the same number of significant figures, satisfying the main requirements of a wide variety of computers. When compiling the present tables, use was made for purposes of collation of the following tables of the natural values of the trigonometric functions: The I)-figure Table..' of H. Andoyer, (Paris, 1915-1918), the Eight-figure Table of J. Peters (Berlin) J939), the Seven-figure Table of °L.S. Khrenov (2nd. ed., Gostekhizdat, 1956), the Seven-figure Table of H. C. Ives, and the Eight-figure Tables oj' the Logarith,l1.ft of NumberaV and oJ the Trigonometric functions of J. Bauschin.e;er and J. Peters (Geodezizdat, 1942 and 1944).

Author : M. I. Zhurina
Publisher : Elsevier
ISBN 13 : 1483148254
Total Pages : 326 pages
Book Rating : 4.50/5 ( download)

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Download or read book Tables of The Legendre Functions P—1⁄2+it(x) written by M. I. Zhurina and published by Elsevier. This book was released on 2016-06-06 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of the Legendre Functions P–1⁄2+iτ (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – 1⁄2 + iτ and real values of X > – 1. P–1⁄2+iτ (X) plays an important role in mathematical physics and are used in solving boundary value problems in potential theory for domains bounded by cones, hyperboloids of revolution, two intersecting spheres, or other second order surfaces. These Legendre functions are also of theoretical interest in connection with the Meler-Fok integral expansion. This book is devoted to the tables of P–1⁄2+iτ (X) and coefficients in the asymptotic formula. Some properties of the functions P–1⁄2+iτ (X) and description of the tables are also discussed. This publication is a good source for mathematical physicists and students conducting work on Legendre functions P–1⁄2+iτ (X).

Author : K. A. Karpov
Publisher : Elsevier
ISBN 13 : 1483214575
Total Pages : 546 pages
Book Rating : 4.73/5 ( download)

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Download or read book Tables of the Function w (z)- e-z2 ? ex2 dx written by K. A. Karpov and published by Elsevier. This book was released on 2014-07-03 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables of the Function w(z) = e-z2 z?0ex2dx in the Complex Domain contains tables of the function in connection with the problem of the radio wave propagation. These tables are compiled in the Experimental-Computing Laboratories of the Institute of Exact Mechanics and Computational Methods of the U.S.S.R. Academy of Sciences. The function w(z) is represented in the upper half-plane by the asymptotic series. Description of the tables and method of computation is provided. This book will prove useful to mathematicians and researchers.

Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.08/5 ( download)

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Download or read book Integrals of Airy Functions written by United States. National Bureau of Standards and published by . This book was released on 1958 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: