A Treatise on the Theory of Bessel Functions

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The University Press, 1944 - Bessel's functions - 804 pages
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Contents

CHAP PAGE I BESSEL FUNCTIONS BEFORE 1826
1
THE BESSEL COEFFICIENTS
14
BESSEL FUNCTIONS
38
DIFFERENTIAL EQUATIONS
85
MISCELLANEOUS PROPERTIES OF BESSEL FUNCTIONS
132
INTEGRAL REPRESENTATIONS OF BESSEL FUNCTIONS
160
ASYMPTOTIC EXPANSIONS OF BESSEL FUNCTIONS
194
BESSEL FUNCTIONS OF LARGE ORDER
225
MULTIPLE INTEGRALS
450
THE ZEROS OF BESSEL FUNCTIONS
477
NEUMANN SERIES AND LOMMELS FUNCTIONS OF TWO VARIABLES
522
KAPTEYN SERIES
551
SERIES OF FOURIERBESSEL AND DINI
576
SCHLOMILCH SERIES
618
THE TABULATION OF BESSEL FUNCTIONS
654
TABLES OF BESSEL FUNCTIONS
665

POLYNOMIALS ASSOCIATED WITH BESSEL FUNCTIONS
271
FUNCTIONS ASSOCIATED WITH BESSEL FUNCTIONS
308
ADDITION THEOREMS
358
DEFINITE INTEGRALS
373
INFINITE INTEGRALS
383
BIBLIOGRAPHY
753
INDEX OF SYMBOLS
789
LIST OF AUTHORS QUOTED
791
GENERAL INDEX
796

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