Theory of Incomplete Cylindrical Functions and their Applications

1. Front Matter

   Pages I-X

   PDF

2. Introduction

   • Matest M. Agrest, Michail S. Maksimov

   Pages 1-4

3. Some Information from the Theory of Cylindrical Functions

   • Matest M. Agrest, Michail S. Maksimov

   Pages 5-20

4. General Theory of Incomplete Cylindrical Functions Expressed in Poisson Form

   • Matest M. Agrest, Michail S. Maksimov

   Pages 21-75

5. Incomplete Cylindrical Functions of Bessel Form

   • Matest M. Agrest, Michail S. Maksimov

   Pages 76-115

6. Incomplete Cylindrical Functions of Sonine-Schlaefli Form and the Incomplete Weber Integrals

   • Matest M. Agrest, Michail S. Maksimov

   Pages 116-140

7. Incomplete Cylindrical Functions of Real Arguments and their Relation to Certain Discontinuous Integrals

   • Matest M. Agrest, Michail S. Maksimov

   Pages 141-165

8. Integrals Involving Incomplete Cylindrical Functions

   • Matest M. Agrest, Michail S. Maksimov

   Pages 166-189

9. Application of Incomplete Cylindrical Functions to Problems of Wave Propagation and Diffraction

   • Matest M. Agrest, Michail S. Maksimov

   Pages 190-227

10. Application of Incomplete Cylindrical Functions to some Problems of Solid State Theory and the Motion of Charged Particles in Electromagnetic Fields

    • Matest M. Agrest, Michail S. Maksimov

    Pages 228-248

11. Applications of Incomplete Cylindrical Functions to some Problems of Atomic and Nuclear Physics

    • Matest M. Agrest, Michail S. Maksimov

    Pages 249-273

12. Other Applied Problems Leading to Incomplete Cylindrical Functions

    • Matest M. Agrest, Michail S. Maksimov

    Pages 274-287

13. Compendium of Tables and Computation Formulae for Evaluation of Incomplete Cylindrical Functions

    • Matest M. Agrest, Michail S. Maksimov

    Pages 288-323

14. Back Matter

    Pages 324-332

    PDF

In preparing the English edition of this unique work, every effort has been made to obtain an easily read and lueid exposition of the material. This has frequently been done at the expense of a literal translation of the original text and it is felt that such liberties as have been taken with the author's language are justified in the interest of ease in readingo None of us pretends to be an authority in the Russian language, and we trust that the original intent of the authors has not been lost. The equations, whieh were for the most part taken verbatim from the original work, were eheeked only eursorily; obvious and previously noted errors have been eorreeted. Fortunately, the Russian and English mathematieal notations are generally in good agreement. An exeeption is the shortened abbreviations for the hyperbolie functions (e.g. sh for sinh), and the symbol Jm rather that Im to denote the imaginary part. As near as possible, these diserepaneies have been correeted. In preparing the Bibliography, works having an English equivalent have been translated into the English title, but in the text the referenee to the Russian work was retained, as it was impraetieal to attempt to find in eaeh ease the eorresponding eitation in the English edition. Authors' names and titles associated with purely Russian works have been transliterated as nearly as possible to the English equivalent, along with the equivalent English title of the work cited.

• Cylindrical Functions
• Functions
• Zylinderfunktion
• equation
• function

• Suchumi, USSR

  Matest M. Agrest, Michail S. Maksimov

Policies and ethics