Computer Programs by Chapter and Section XXI 6.1 beta beta function 62 gammp incomplete gamma function 6.2 gammg complement of incomplete gamma function 6.2 gser series used by gammp and gammq 6.2 gcf continued fraction used by gammp and gammq 6.2 erff error function 6.2 erffc complementary error function 6.2 erfcc complementary error function,concise routine 63 expint exponential integral En Permission is Sample page 6.3 ei exponential integral Ei 6.4 betai incomplete beta function 6.4 betacf continued fraction used by betai 6.5 bessj0 Bessel function Jo 6.5 bessy0 Bessel function Yo 6.5 bessj1 Bessel function/1 6.5 bessy1 Bessel function Y 6.5 bessy Bessel function Y of general integer order 6.5 bessj Bessel function/of general integer order http://www.nr.com or call 1-800-872-7423 (North America 6.6 bessi0 modified Bessel function To 6.6 bessk0 modified Bessel function Ko 6.6 bessi1 modified Bessel function /1 6.6 bessk1 modified Bessel function KI readable files(including this one)to any server computer,is strictly prohibited. granted for internet users to make one paper copy for their 6.6 bessk modified Bessel function K of integer order 6.6 bessi modified Bessel function I of integer order 6.7 bessjy Bessel functions of fractional order 6.7 beschb Chebyshev expansion used by bessjy 67 bessik modified Bessel functions of fractional order 6.7 airy Airy functions only),or send email to directcustsen 6.7 sphbes spherical Bessel functions in and yn 6.8 plgndr Legendre polynomials,associated (spherical harmonics) personaluse.Further reproduction,or Copyright (C)1988-1992 by Cambridge University Press.Programs Copyright(C)1988-1992 by Numerical Recipes from NUMERICAL RECIPES IN C:THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) 6.9 frenel Fresnel integrals S(x)and C(x) 6.9 cisi cosine and sine integrals Ci and Si 6.10 dawson Dawson's integral 6.11 rf Carlson's elliptic integral of the first kind 6.11 rd Carlson's elliptic integral of the second kind 6.11 rj Carlson's elliptic integral of the third kind 6.11 rc Carlson's degenerate elliptic integral 6.11 ellf Legendre elliptic integral of the first kind 6.11 elle Legendre elliptic integral of the second kind @cambridge.org(outside North America). 0 Software. 6.11 ellpi Legendre elliptic integral of the third kind 6.11 sncndn Jacobian elliptic functions ying of machine 6.12 hypgeo complex hypergeometric function 6.12 hypser complex hypergeometric function,series evaluation 6.12 hypdrv complex hypergeometric function,derivative of 7.1 ran0 random deviate by Park and Miller minimal standard 7.1 ran1 random deviate,minimal standard plus shuffleComputer Programs by Chapter and Section xxi Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copyin Copyright (C) 1988-1992 by Cambridge University Press. Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) g of machine￾readable files (including this one) to any server computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website http://www.nr.com or call 1-800-872-7423 (North America only), or send email to directcustserv@cambridge.org (outside North America). 6.1 beta beta function 6.2 gammp incomplete gamma function 6.2 gammq complement of incomplete gamma function 6.2 gser series used by gammp and gammq 6.2 gcf continued fraction used by gammp and gammq 6.2 erff error function 6.2 erffc complementary error function 6.2 erfcc complementary error function, concise routine 6.3 expint exponential integral En 6.3 ei exponential integral Ei 6.4 betai incomplete beta function 6.4 betacf continued fraction used by betai 6.5 bessj0 Bessel function J0 6.5 bessy0 Bessel function Y0 6.5 bessj1 Bessel function J1 6.5 bessy1 Bessel function Y1 6.5 bessy Bessel function Y of general integer order 6.5 bessj Bessel function J of general integer order 6.6 bessi0 modified Bessel function I0 6.6 bessk0 modified Bessel function K0 6.6 bessi1 modified Bessel function I1 6.6 bessk1 modified Bessel function K1 6.6 bessk modified Bessel function K of integer order 6.6 bessi modified Bessel function I of integer order 6.7 bessjy Bessel functions of fractional order 6.7 beschb Chebyshev expansion used by bessjy 6.7 bessik modified Bessel functions of fractional order 6.7 airy Airy functions 6.7 sphbes spherical Bessel functions jn and yn 6.8 plgndr Legendre polynomials, associated (spherical harmonics) 6.9 frenel Fresnel integrals S(x) and C(x) 6.9 cisi cosine and sine integrals Ci and Si 6.10 dawson Dawson’s integral 6.11 rf Carlson’s elliptic integral of the first kind 6.11 rd Carlson’s elliptic integral of the second kind 6.11 rj Carlson’s elliptic integral of the third kind 6.11 rc Carlson’s degenerate elliptic integral 6.11 ellf Legendre elliptic integral of the first kind 6.11 elle Legendre elliptic integral of the second kind 6.11 ellpi Legendre elliptic integral of the third kind 6.11 sncndn Jacobian elliptic functions 6.12 hypgeo complex hypergeometric function 6.12 hypser complex hypergeometric function, series evaluation 6.12 hypdrv complex hypergeometric function, derivative of 7.1 ran0 random deviate by Park and Miller minimal standard 7.1 ran1 random deviate, minimal standard plus shuffle