Rusev P. An invitation to Bessel functions (Sofia, 2016). - ОГЛАВЛЕНИЕ / CONTENTS
Навигация
Архив выставки новых поступлений | Отечественные поступления | Иностранные поступления | Сиглы
ОбложкаRusev P. An invitation to Bessel functions / Bulg. Acad. of Sciences, Inst. of mathematics a. informatics. - Sofia: Prof. Marin Drinov Publishing House of Bulgarian Academy of Sciences, 2016. - 181 p. - Bibliogr.: p.181. - ISBN 978-954-322-871-3
Шифр: (И/В16-R95) 02
 

Место хранения: 02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents
 
Preface ......................................................... 7

Chapter 1. Introduction to the theory of Bessel functions ...... 15
1.1  Bessel differential equation .............................. 15
1.2  Bessel functions of first kind ............................ 18
1.3  Bessel functions of second kind ........................... 20
1.4  Bessel functions in complex domain ........................ 25
1.5  Modified Bessel functions ................................. 30
1.6  Spherical Bessel functions ................................ 32
1.7  Integral representations of Bessel functions .............. 35
1.8  Asymptotic formulas for Bessel functions .................. 39
1.9  Zeros of Bessel functions ................................. 54
1.10  Functions related to Bessel functions .................... 63
1.11  Integrals involving Bessel functions ..................... 69
Comments and references to Chapter 1 ........................... 74

Chapter 2. Bessel's series and integral representations ........ 81
2.1  Series of Fourier-Bessel and Dini ......................... 81
2.2  Series of Schlomilch ...................................... 97
2.3  Series of Neumann ........................................ 104
2.4  Integral of Hankel ....................................... 110
2.5  Integral of Hardy ........................................ 115
2.6  Integral of Meijer ....................................... 122
Comments and references to Chapter 2 .......................... 129

Chapter 3. Bessel's integral transforms ....................... 135
3.1  Mellin transform and reciprocal kernels of Fourier type .. 135
3.2  H-transforms ............................................. 141
3.3  Y-transforms ............................................. 145
3.4  K-transforms ............................................. 149
Comments and references to Chapter 3 .......................... 152

Addendum. Analytic solutions of linear second order
     differential equations ................................... 153
Appendix. The Euler gamma-function ............................ 163
Exercises ..................................................... 175
Bibliography .................................................. 181

Архив выставки новых поступлений | Отечественные поступления | Иностранные поступления | Сиглы
 

[О библиотеке | Академгородок | Новости | Выставки | Ресурсы | Библиография | Партнеры | ИнфоЛоция | Поиск | English]
  Пожелания и письма: www@prometeus.nsc.ru
© 1997-2018 Отделение ГПНТБ СО РАН (Новосибирск)
Статистика доступов: архив | текущая статистика
 

Документ изменен: Thu Apr 5 17:10:34 2018. Размер: 5,942 bytes.
Посещение N 250 c 04.04.2017