  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: 436 BESSEL FUNCTIONS OF FRACTIONAL ORDER Page Table 10.8. Modified Spherical Bessel Functions-Orders 0, 1 and 2 ( 0 5 ~ 5 5 ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 469 mL+* (4, mK++ (4 n=O, 1, 2; ~ = 0 ( . 1 ) 5 , 4-9D Table 10.9. Modified Spherical Bessel Functions-Orders 9 and 10 (O/(2z>IIn+t(z> && exp [z-n(n+l)/(2z)IKn+t(z) n=9, 10; ~-‘=.1(-.005)0, 7-8s . Table 10.10. Modified Spherical Bessel Functions-Various Orders (0 5n 5 100) . . . . . . . . . . . . . . . . . . . . . . . . . 473 -In++ 01 9 d&&~*++ (2) n=0(1)20, 30, 40, 50, 100 ~=1, 2, 5, 10, 50, 100, Ai(z), Ai’(z), Bi(z), Bi’(z) z=O(.OI)I, 8D Ai(-z), Ai’(-z), Bi(-z), Bi’(-z) ~=O(.O1)1(.1)10, 8D Ai(z) =4~-’/~e-yf(-,9; Bi(z)=~-’/~ey(f(4) Ai’(z) = -+~‘/~e-(g(-[) ; Bi’(z) =z1/4e6g(€) 10s . Table 10.11. Airy Functions (O, gz(€); €=W“ €-‘=.05(-.01)0, 6-7D Table 10.12. Integrals of Airy Functions (0 125 10). . . . . . . . . 478 Ai(t)dt, z=0(.1)7.5; Ai(-t)dt, z=O(.l)lO, 7D 1 Bi(t)dt, z=0(.1)2; z=O(.l)lO, 7D Table 10.13. Zeros and Associated Values of Airy Functions and Their Zeros a,, a:, b,, b: of Ai(z), Ai’(z), Bi(z), Bi’(z) and values of &’(a,), Ai(a:), Bi’(b,), Bi(b:) s=1(1)10, 8D Complex Zeros and Associated Values af Bi(z) and Bi’(z) (1 5 s 5 5 ) Modulus and Phase of e-*