Tables of Weber Parabolic Cylinder Functions
Author | : Scientific Computing Service, ltd |
Publisher | : |
Total Pages | : 244 |
Release | : 1955 |
Genre | : Differential equations |
ISBN | : |
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Author | : Scientific Computing Service, ltd |
Publisher | : |
Total Pages | : 244 |
Release | : 1955 |
Genre | : Differential equations |
ISBN | : |
Author | : I. Ye. Kireyeva |
Publisher | : Elsevier |
Total Pages | : 366 |
Release | : 2014-05-12 |
Genre | : Mathematics |
ISBN | : 1483222918 |
Tables of Weber Functions contains values for Weber functions or functions of a parabolic cylinder. Investigators at the Computing Centre of the Academy of Sciences, U.S.S.R. confirm these tables which have been calculated by a computer. The wave equation, expressed in parabolic coordinates, occurs in quantum mechanics, radio physics, aerodynamics, hydrodynamics and other fields. Each section of the tables contains values of the real and imaginary parts of the function Dp[x(i + i)]for 51-55 successive values of x, as determined by the interpolation with respect to x, and four values of p. On the left side are given the values of up(x) and vp(x) for positive values of x, and on the right for negative x with the same absolute values. The book contains twenty groups of sections corresponding to values of
Author | : Milton Abramowitz |
Publisher | : |
Total Pages | : 1078 |
Release | : 1964 |
Genre | : Functions |
ISBN | : |
Author | : Milton Abramowitz |
Publisher | : Courier Corporation |
Total Pages | : 1068 |
Release | : 1965-01-01 |
Genre | : Mathematics |
ISBN | : 9780486612720 |
An extensive summary of mathematical functions that occur in physical and engineering problems
Author | : I. S. Gradshteyn |
Publisher | : Academic Press |
Total Pages | : 1207 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483265641 |
Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.
Author | : N. M. Burunova |
Publisher | : Elsevier |
Total Pages | : 237 |
Release | : 2014-05-09 |
Genre | : Mathematics |
ISBN | : 1483184439 |
A Guide to Mathematical Tables is a supplement to the Guide to Mathematical Tables published by the U.S.S.R. Academy of Sciences in 1956. The tables contain information on subjects such as powers, rational and algebraic functions, and trigonometric functions, as well as logarithms and polynomials and Legendre functions. An index listing all functions included in both the Guide and the Supplement is included. Comprised of 15 chapters, this supplement first describes mathematical tables in the following order: the accuracy of the table (that is, the number of decimal places or significant figures); the limits of variation of the argument and the interval of the table; and the serial number of the book or journal in the reference material. The second part gives the author, title, publishing house, and date and place of publication for books, and the name of the journal, year of publication, series, volume and number, page and author and title of the article cited for journals. Topics range from exponential and hyperbolic functions to factorials, Euler integrals, and related functions. Sums and quantities related to finite differences are also tabulated. This book will be of interest to mathematicians and mathematics students.
Author | : F. W. J. Olver |
Publisher | : Academic Press |
Total Pages | : 589 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 148326744X |
Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.