weighing-systems.com 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: 27. Miscellaneous Functions IRENE A. STEGUN Contents Page J e k - l . . tndt . . . . . . . . . . . . . . . 998 27.1. Debye Functions ___ %= 1 (1)4, ~=0(.1) 1.4(.2)5(.5)10, 6D 27.2. Planck's Radiation Function z-6(e1'z- . . . . . . . . . . 999 X= .05(.005) .1(.01) .2(.02) .4(.05) .9(.1) 1.5(.5)3.5, 3D &ax, f(&aJ, 9-10s 27.3. Einstein Functions . . . . . . . . . . . . . . . . . . . . 999 2 In (1-e-3 In (1-e-3, -- X x2ex (8- 1 ) 2 ' e2--1' ex- 1 ~=0(.05)1.5(.1)3(.2)6, 5D 27.4. Sievert Integral e-xseo%\$ . . . . . . . . . . . . . . . . 1000 sob x =O (. 1) 1 (.2) 3 (.5) 10, 8 = 10' (10") 60°( 15') 90'' 6D w 27.5. fm(z)=L tme-z2f dt and Related Integrals . . . . . . . . . 1001 fm(x), m=1,2, 3; ~=0(.01).05, .l(.l)l, 4D f a ( i ~ ) , ~=0(.2)8(.5)15(1)20, 4-5D df . . . . . . . . . . . . . . . . . . . . . 1003 f(x)+ln X, z=0(.05)1 f(z), ~=1(.1)3(.5)8, 4D 27.7. Dilogarithm (Spence's Integral) f(x)=- l;:; -dt . . . 27.8. Clausen's Integral and Related Summations . . . . . . ~=0(.01).5, 9D sinn8 f(B)=-Je In (2 sin a) d t = C RI1 - n2 0 f(8)+8 In 8, e=0°(10)150 f(8), 8= 15' (1°)300(20) 90°(5') 180'' 6D 27.9. Vector-Addition Coefficients (j,j2mlm2~jlj2jm) . . . Algebraic Expressions for j2=1/2, 1, 3/2,2 Decimal Values for j2=l/2, 1, 3/2, 5D 1 National Bureau of Standards. . . 1004 . . 1005 . . 1006 997 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. ©2000 ConvertIt.com, Inc. All rights reserved. Terms of Use.