Tài liệu Special Functions part 10 pdf

... 258 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... -sign; sums=sum; sum=sumc; } else { sumc=sum; sum=sums; 256 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambr...

Ngày tải lên: 26/01/2014, 15:20

... expint"); else { if (n == 0) ans=exp(-x)/x; Special case. else { if (x == 0.0) ans=1.0/nm1; Another special case. else { 226 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN ... function for several pairs (a, b). 224 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988...

Ngày tải lên: 21/01/2014, 18:20

... (6.5.8). y=x*x; ans1=x*(-0.4900604943e13+y*(0.1275274390e13 +y*(-0.5153438139e11+y*(0.7349264551e9 +y*(-0.4237922726e7+y*0.8511937935e4))))); ans2=0.2499580570e14+y*(0.4244419664e12 +y*(0.3733650367e10+y*(0.2245904002e8 +y*(0 .102 0426050e6+y*(0.3549632885e3+y))))); 230 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108...

Ngày tải lên: 21/01/2014, 18:20

... and Pearson, C.E. 1966, Functions of a Complex Variable (New York: McGraw-Hill), pp. 220ff. 6.7 Bessel Functions of Fractional Order, Airy Functions, Spherical Bessel Functions Many algorithms ... { y=2.0/x; ans=(exp(-x)/sqrt(x))*(1.25331414+y*(0.23498619 +y*(-0.3655620e-1+y*(0.1504268e-1+y*(-0.780353e-2 +y*(0.325614e-2+y*(-0.68245e-3))))))); } return ans; } 236 Chapter 6. Special F...

Ngày tải lên: 21/01/2014, 18:20

... trade@cup.cam.ac.uk (outside North America). Chapter 6. Special Functions 6.0 Introduction There is nothing particularly special about a special function, except that some person in authority ... the moniker. Special functions are sometimes called higher transcendental functions( higher than what?) or functionsof mathematicalphysics (but they occur in other fields also) or functi...

Ngày tải lên: 24/12/2013, 12:16

... from the combinatorial functions with integer valued arguments, we come to the beta function, B(z, w)=B(w, z)=  1 0 t z−1 (1 −t) w−1 dt (6.1.8) 216 Chapter 6. Special Functions Sample page from ... term is parametrized by . For γ =5,N=6, and a certain set of c’s,theerrorissmallerthan||<2 10 10 . Impressed? If not, then perhaps you will be impressed by the fact that (with these s...

Ngày tải lên: 21/01/2014, 18:20

... gcf"); *gammcf=exp(-x+a*log(x)-(*gln))*h; Put factors in front. } 216 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... about a+1. In these respective 218 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-5...

Ngày tải lên: 21/01/2014, 18:20

... to x/h,andx 0 ≡n 0 h,x  ≡x−x 0 ,andn  ≡n−n 0 ,sothat F(x)≈ 1 √ π N  n  =−N n  odd e −(x  −n  h) 2 n  + n 0 , (6 .10. 4) 6.11 Elliptic Integrals and Jacobian Elliptic Functions 261 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) ... Mathematical Functions , Applied Mathe- matics Series, Volume 55 (Washington: National Bu...

Ngày tải lên: 21/01/2014, 18:20

... significant figures near the zero. 270 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... (0.5*C2) #define C8 (C3+C3) 268 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by...

Ngày tải lên: 21/01/2014, 18:20

... equations. A half-dozen is typical. 272 Chapter 6. Special Functions Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-4 3108 -5) Copyright (C) 1988-1992 by Cambridge ... Software ,vol.7, pp. 398–403. [10] Carlson, B.C. 1978, SIAM Journal on Mathematical Analysis , vol. 9, p. 524–528. [11] Abramowitz, M., and Stegun, I.A. 1964, Handbook of Mathematical...

Ngày tải lên: 21/01/2014, 18:20