Tables of Lommel's Functions of Two Pure Imaginary Variables
Mathematical Tables Series
- 1st Edition - November 11, 2013
- Latest edition
- Authors: L. S. Bark, P. I. Kuznetsov
- Language: English
Tables of Lommel's Functions of Two Pure Imaginary Variables provide tables on cylinder functions of two pure imaginary variables. These tables are computed on the "Strela"… Read more
Tables of Lommel's Functions of Two Pure Imaginary Variables provide tables on cylinder functions of two pure imaginary variables. These tables are computed on the "Strela" electronic computer and are checked and prepared in the Analytic Machine Department. The introductory part describes some properties of the Lommel's functions. This part also contains the integral forms and asymptotic expansions. Lommel's functions of two pure imaginary arguments are defined by the Neumann series. This text is of value to researchers and students.
Foreword
Introduction
Some Properties of the Functions γn (y, x) and θn (y, x)
Integral Forms
Asymptotic Expansions
Computation and Checking of the Tables
Description and Use of the Tables
References
Table I. γ1 (y, x) and γ2 (y, x) [y = 0 (0.01) 1 (0.1) 20; x = 0 (0.01) 1 (0.1) y; 7 sig. fig.]
Table II. Coefficients in Everett's Interpolation Formula E(p) = p(1 - p2)/6; F(p) = q (1 - q2)/6; p + q = 1 [p = 0 (0.001) 1; 8 dec. places]
List of Volumes in the Mathematical Tables Series
- Edition: 1
- Latest edition
- Published: November 11, 2013
- Language: English
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