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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: 229 EXPONENTIAL INTEGRAL AND RELATED FUNCTIONS Symmetry Relation ,- 5.1.13 w 3 =ah) Recurrence Relations 5.1.14 E,+l(z)=; 1 [e-'-zE,(z)] (n=1,2,3, . . .) Y 4 FIGURE 5.3. y=as(x) n=0(1)6 -5 - -10 - -I 5 5.1.10 5.1.11 FIGURE 5.4. y=pn(x) n=O, 1 , 2 , 5 , 10, 15 Series Expansions (x>O) = 2" Ei(z)=r+lnx+x - s=l nn! 5.1.12 y=.57721 56649 . . . is Euler's constant. 5.1.15 mn(z)=e-z+mn-l(z) (n=1,2,3, . . .) 5.1.16 zp,(z)=(-l)"e'-e-'+nj3,-l(z) (n=1,2,3, . . .) 5.1.17 Inequalities [5.8], [5.4] (x>O;n=1,2,3,. . .) 1 1 -