Bark / Kuznetsov Tables of Lommel's Functions of Two Pure Imaginary Variables

Mathematical Tables Series
1. Auflage 2014
ISBN: 978-1-4831-6496-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 294 Seiten, Web PDF

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.

Autoren/Hrsg.

Bark, L. S.

Kuznetsov, P. I.

Inhaltsverzeichnis

1;Front Cover;1
2;Tables of Lommel's Functions of Two Pure Imaginary Variables;4
3;Copyright Page ;5
4;Table of Contents;6
5;FOREWORD;8
6;CHAPTER 1. INTRODUCTION;10
6.1;Some properties of the functions .n(y, x), .n(y, x);11
6.2;Integral forms;15
6.3;Asymptotic expansions;15
6.4;Computation and checking of the tables;18
6.5;Description and use of the tables;18
7;References;28
8;TABLE I: .1(y,x) and .2 (y,x);30
9;TABLE II: Coefficients in Everett's interpolation formula;290
10;List of volumes in the Mathematical Tables Series;294