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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: COULOMB WAVE FUNCTIONS 540 14.4.4 (See chapter 9.) Expansion in Terms of Spherical Bessel Functiona 14.4.5 14.4.6 2L+3 bL= 1, bL+1= - L+l (2k+l) bk’k(k+l) --L(L+l) *See page 11. (842’+ 148Oz4+2320z) 1 j 3 = m gi=-(1/5b 92 =- (7z6-30a?) 350 (1056~’- 11609-2240) ga-63000 (See chapter 10.) 14.5. Asymptotic Expansions Asymptotic Expansion for Large Values of p 14.5.1 14.5.2 14.5.3 14.5.4 a;=\$* cos e,-g* sin e, gf*-fg*=i FL=g cos eL+f sin eL a,=j cos e,-g sin eL F;=g* cos e,+f* sin e, T 14.5.5 eL=p-7 In 2p-1 z + ~ L 14.5.6 uL=arg r(L+i+iq) (See 6.1.27, 6.1.44.) 1 u,+,=u,+arctan - 1+1 14.5.7 (See Tables 4.14,6.7.) where 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.