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 New Online Book! Handbook of Mathematical Functions (AMS55) Conversion & Calculation Home >> Reference Information Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables (AMS55) Purchase the electronic edition of this book in Adobe PDF format! FIRST | PREVIOUS | NEXT | LAST | CONTENTS | PAGE | ABOUT | SMALL | MEDIUM | LARGE Below is the OCR-scanned text from this page: BESSEL FUNCTIONS OF INTEGER ORDER 356 Table 9.3. Bessel Functions-Orders 10, 11,20, and 21 ( 0 5 x 5 2 0 ) . . x-'OJ10(s), s-"J11(2), Z'"'O(S) JlO(Z), J11(4 , YlO(4 x-*OJ*o(a), 2-2'J21(2), 22OY*O(Z) s=0(.1)10, 8s or 9 s ~=10(.1)20, 8D 2=0(.1)20, 6s or 7s Bessel Functions-Modulus and Phase of Orders 10,11,20, and 21 ( 2 0 5 ~ 5 a). . . . . . . . . . . . . . . . . ziMn(z), @,(4 --2 n=10, 11, 8D n=20, 21, 6D z-'= .05(- .002)0 Table 9.4. Bessel Functions-Various Orders (OIn5100). . . . . . Jn(x>, Y&), n=0(1)20(10)50, 100 ~ = 1 , 2, 5, 10, 50, 100, 10s Table 9.5. Zeros and Associated Values of Bessel Functions and Their Derivatives (0 I n I 8, 1 5 s 5 20) . . . . . . . . . . . j,,,, J X j n , A ; L S , Jn(j:,J, 5D (10D for n=o> yn,,, Zdyn,J; yk.,, Y&b,,), 5D (8D for n=o> 8=1(1)20, n=0(1)8 Table 9.6. Bessel Functions Jo(jO,\$), s=1(1)5. . . . . . . . . . . Table 9.7. Bessel Functions-Miscellaneous Zeros (s=1(1)5) . . . . . z=O(.O2)1, 5D 8th zero of z Jl (z) - kJ0(z) 8th zero of Jl(z) - W 0 ( z ) 8th zero of Jo(z) Yo(Xz) - Yo(z)J,(h) 8th zero of Jl(z)Yl(Xz)- Yl(z)Jl(Xz) 8th zero of J1(z) Y0(b) - Yl(z)Jo(h) X, X-'=O(.O2) .I, .2(.2)1, 4D X=.5(.1)1, X-'= 1 (-.2).2, .l (- .O2)0, 4D X-l=.8(--.2) .2, .1(-.02)0, 5D (8D for s = l ) X-'=.8(-.2) .2, .1(-.02)0, 5D (8D for s = l ) X-l=.8(--.2) .2, .1(-.02)0, 5D (8D for s=1) e-zIo (2) , ezKo (2) , e-"I1 (2) , ezKl( z) ~=0(.1)10 (.2)20, 10D or 10s z-212(z>, 9Kz(z) ~=0(.1)5, IOD, 9D e-"12 (2) , e"Kz (2) z=5(.1)10 (.2)20, 9D, 8D Table 9.8. Modified Bessel Functions of Orders 0,1, and 2 (0 5 ~ 5 2 0 ) . Modified Bessel Functions-Auxiliary Table for Large Arguments ( 2 0 5 x 5 a) . . . . . . . . . . . . . . . z*e-"I&), n-'de"K,(z), n=O, 1, 2 z-'= .05 (- .002)0, 8-9D Modified Bessel Functions-Auxiliary Table for Small Arguments (0 5 2 5 2 ) . . . . . . . . . . . . . . . . Ko(z) +Io@) lnz, z{&(z) -Il(%> lnz} z=0(.1)2. 8D Page 402 406 407 409 413 414 416 422 422 The page scan image above, and the text in the text box above, are contributions of the National Institute of Standards and Technology that are not subject to copyright in the United States.