A Treatise on The Theory of Bessel Functions Second EditionPDF电子书下载

CHAP Ⅰ．BESSEL FUNCTIONS BEFORE 1826 1

CHAP Ⅱ．THE BESSEL COEFFICIENTS 14

CHAP Ⅲ．BESSEL FUNCTIONS 38

CHAP Ⅳ．DIFFERENTIAL EQUATIONS 85

CHAP Ⅴ．MISCELLANEOUS PROPERTIES OF BESSEL FUNCTIONS 132

CHAP Ⅵ．INTEGRAL REPRESENTATIONS OF BESSEL FUNCTIONS 160

CHAP Ⅶ．ASYMPTOTIC EXPANSIONS OF BESSEL FUNCTIONS 194

CHAP Ⅷ．BESSEL FUNCTIONS OF LARGE ORDER 225

CHAP Ⅸ．POLYNOMIALS ASSOCIATED WITH BESSEL FUNCTIONS 271

CHAP Ⅹ．FUNCTIONS ASSOCIATED WITH BESSEL FUNCTIONS 308

CHAP Ⅺ．ADDITION THEOREMS 358

CHAP Ⅻ．DEFINITE INTEGRALS 373

CHAP ⅩⅢ．INFINITE INTEGRALS 383

CHAP ⅩⅣ．MULTIPLE INTEGRALS 450

CHAP ⅩⅤ．THE ZEROS OF BESSEL FUNCTIONS 477

CHAP ⅩⅥ．NEUMANN SERIES AND LOMMEL＇S FUNCTIONS OF TWO VARIABLES 522

CHAP ⅩⅦ．KAPTEYN SERIES 551

CHAP ⅩⅧ．SERIES OF FOURIER-BESSEL AND DINI 576

CHAP ⅩⅨ．SCHLOMILCH SERIES 618

CHAP ⅩⅩ．THE TABULATION OF BESSEL FUNCTIONS 654

TABLES OF BESSEL FUNCTIONS 665

BIBLIOGRAPHY 753

INDEX OF SYMBOLS 789

LIST OF AUTHORS QUOTED 791

GENERAL INDEX 796