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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 | MEDIUM | LARGE Below is the OCR-scanned text from this page: COULOMB WAVE J?UNCTIONS 539 -1.2L FIGURE 14.1. F L ~ , P ) , QL(B, PI. 9=1, p=10 FL. F; GL ;G i 1.3 - - 24 1.2 - 1.1 - b .6 - .s - 4 - - 4 - 2 L FIGURE 14.2. FL, FA, GL and QL. 9= 10, p=20 14.2. Recurrence and Wronskian Relations Recurrence. Relations If uL=FL(TJ, PI or ~ L ( v , PI, 14.2.2 (L+U duL- -4- (L+1)2+rl]uL-[ (L+1)2+q2]+UL+l dP P 14.2.3 L(L+l)luL P 4 (L+1)2+r121*UL+1= (2L+ Ns+ - (L+ 1) [ L2+ r121*UL-1 Wronskian Relations 14.2.4 FLGL- FLGL= 1 14.2.5 FL-1GL-FLGL-l=L(L2+q2)-* 14.3. Integral Representations 14.3.1 14.3.2 F A - iGL= 14.3.3 m -I { (1-tanh2 QL+' exp [ - i ( p tanh t-2r]t)] +i(l+t2)L exp [-pt+27 arctan t ] } d t 14.4. Bessel Function Expansions Expansion in Terms of Bessel-Clifford Functions 14.4.1 14.4.2 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.