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Cephes Mathematical Library Functions list: H1v(), H2v(), Jvc(), Yvc(), Ivc(), Kvc(), jsph(), ysph(), h1sph(), h2sph(), Ai(), Bi(), Aip(), Bip(), struvec(), H1e(), H2e(), Jve(), Yve(), Ive(), Kve(), Aie(), Bie(), Aipe(), Bipe(), lg(), rgam(), binomial(), Beta1(), lbeta1(), psic(), igamma(), igammac(), igammai(), ibeta(), ibetai(), hyp1c1(), hyp2c0(), hyp2c1(), hyp1c2(), hyp3c0(), LegE(), LegF(), LegEc(), LegEc1(), LegKc(), LegKc1(), sn(), cn(), dn(), phi(), LegP(), LegPc(), LegPc1(), Rf(), Rd(), Rj(), Dawson(), FresnelC(), FresnelS(), dilog(), Riezeta(), Riezeta2(), expint(), sinint(), cosint(), sinhint(), coshint(), Plm(), Qlm(), pnorm(), Ylm(), Yl(), arrot(), signum(), csgn(), sfact(), mask().
H1v  [ v,z ] Hankel function of real order v and complex argument z (1st kind). Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. H2v  [ v,z ] Hankel function of real order v and complex argument z (2nd kind). Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. Jv  [ v,z ] Bessel function of real order v and complex argument z. Argument z is considered in the cut plane pi < arg(z) <= pi. Yv  [ v,z ] Neumann function of real order v and complex argument z. Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. Iv  [ v,z ] Modified Bessel function of real order v and complex argument z. Argument z is considered in the cut plane pi < arg(z) <= pi. Kv  [ v,z ] Modified Bessel function of the third kind of real order v and complex argument z. Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. jv  [ v,x ] Spherical Bessel function of real order v and complex argument z. Argument z is considered in the cut plane pi < arg(z) <= pi. yv  [ v,x ] Spherical Neumann function of real order v and complex argument z. Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. h1v  [ v,x ] Spherical Hankel function of real order v and complex argument z (1st kind). Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. h2v  [ v,x ] Spherical Hankel function of real order v and complex argument z (2nd kind). Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. Ai  [ x ] First Airy function, solution of the differential equation y"=xy. The argument can be complex Bi  [ x ] Second Airy function, solution of the differential equation y"=xy. The argument can be complex Aip  [ x ] Derivative of the first Airy function, solution of the differential equation y"=xy. The argument can be complex Bip  [ x ] Derivative of the second Airy function, solution of the differential equation y"=xy. The argument can be complex Struve  [ v,x ] Computes the Struve function of real order v and real argument x. Negative x is rejected unless v is an integer. H1e  [ v,z ] Exponentially scaled Hankel function of real order v and complex argument z (1st kind). Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. H2e  [ v,z ] Exponentially scaled Hankel function of real order v and complex argument z (2nd kind). Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. Je  [ v,z ] Exponentially scaled Bessel function of real order v and complex argument z. Argument z is considered in the cut plane pi < arg(z) <= pi. Ye  [ v,z ] Exponentially scaled Neumann function of real order v and complex argument z. Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. Ie  [ v,z ] Exponentially scaled modified Bessel function of real order v and complex argument z. Argument z is considered in the cut plane pi < arg(z) <= pi. Ke  [ v,z ] Exponentially scaled modified Bessel function of the third kind of real order v and complex argument z. Argument z must be nonzero and is considered in the cut plane pi < arg(z) <= pi. Ae  [ x ] Exponentially scaled first Airy function of complex argument. Be  [ x ] Exponentially scaled second Airy function of complex argument. Aep  [ x ] Exponentially scaled derivative of first Airy function of complex argument. Bep  [ x ] Exponentially scaled first derivative of second Airy function of complex argument. lgam  [ z ] Natural logarithm of gamma function. Argument z is considered in the cut plane pi < arg(z) <= pi. rgam  [ x ] Returns one divided by the gamma function of the argument. binomial  [ a,k ] Binomial coefficient, a is real k must be a non negative integer. beta  [ x,y ] Beta function or Euler's integral of the first kind. The arguments can be complex lbeta  [ x,y ] Natural logarithm of beta function. Arguments are considered in the cut plane pi < arg(z) <= pi. Psi  [ z ] Logarithmic derivative of the gamma function. The argument can be complex igam  [ a,x ] Incomplete gamma integral; both arguments must be real and positive. igamc  [ a,x ] Complemented incomplete gamma integral; both arguments must be real and positive. igami  [ a,x ] Inverse of complemented imcomplete gamma integral of real arguments. ibeta  [ a,b,x ] Incomplete beta integral; the domain of definition is 0<=x<=1, a>0 and b>0. ibetai  [ a,b,x ] Inverse of incomplete beta integral; the domain of definition is a>0 and b>0. hyp1f1  [ a,b,x ] Confluent hypergeometric function 1F1 with real arguments. hyp2f0  [ a,b,x ] Hypergeometric function 2F0 with real arguments. hyp2f1  [ a,b,c,x ] Gauss hypergeometric function 2F1 with real arguments. hyp1f2  [ a,b,c,x ] Hypergeometric function 1F2 with real arguments. hyp3f0  [ a,b,c,x ] Hypergeometric function 3F0 with real arguments. LegendreE  [ x,k ] Legendre's canonical incomplete elliptic integral of the second kind with real arguments. LegendreF  [ x,k ] Legendre's canonical incomplete elliptic integral of the first kind with real arguments. LegendreEc  [ k ] Legendre's complete elliptic integral of the second kind with real argument. LegendreEc1  [ k ] Associated Legendre's complete elliptic integral of the second kind with real argument. LegendreKc  [ k ] Legendre's complete elliptic integral of the first kind with real argument. LegendreKc1  [ k ] Associated Legendre's complete elliptic integral of the first kind with real argument. LegendreP  [ x,n,k ] Legendre's canonical incomplete elliptic integral of the third kind with real arguments. LegendrePc  [ n,k ] Legendre's complete elliptic integral of the third kind with real arguments. LegendrePc1  [ n,k ] Associated Legendre's complete elliptic integral of the third kind with real arguments. Rf  [ x,y,z ] Carlson's incomplete elliptic integral of the first kind with real arguments. Rd  [ x,y,z ] Carlson's incomplete elliptic integral of the second kind with real argument. Rj  [ x,y,z,p ] Carlson's incomplete elliptic integral of the third kind with real argument. sn  [ u,k ] Jacobian elliptic functions sn(u,k) of real arguments. cn  [ u,k ] Jacobian elliptic functions cn(u,k) of real arguments. dn  [ u,k ] Jacobian elliptic functions dn(u,k) of real arguments. phi  [ u,k ] Amplitude of jacobian elliptic functions phi(u,k) of real arguments. Dawson  [ x ] Dawson's Integral of real argument. FresnelC  [ x ] Fresnel integral C(x) of real argument. FresnelS  [ x ] Fresnel integral S(x) of real argument. dilog  [ x ] Dilogarithm function of real argument. Zeta  [ x ] Riemann zeta function of real argument. x must be positive Zeta2  [ x,q ] Riemann zeta function of two arguments. It is the sum, for k integer ranging from 0 to infinity, of (k+q)^x where q is a positive integer and x > 1. Ei  [ n,x ] Exponential integral Ei. n in an integer, x is real. Si  [ x ] Sine integral of real argument. Ci  [ x ] Cosine integral of real argument. Shi  [ x ] Hyperbolic sine integral of real argument. Chi  [ x ] Hyperbolic cosine integral of real argument. Plm  [ l,m,x ] First kind Legendre polynomials and associated functions of degree l and integer order m. Plm(l,m,x) = (1)^m (1x^2)^(m/2) d^m( Pn(n,x) )/dx^m where l and x must be real and Pn(n,x) is the Legendre polynomial. Qlm  [ l,m,x ] Second kind Legendre functions of degree l, integer order m and argument 0<=x<1. plm  [ l,m,x ] Normalized first kind Legendre polynomials and associated functions of integer degree l and integer order m. Ylm  [ l,m,theta,phi ] Spherical harmonic of integer degree l, integer order m, latitude theta in [PI,PI] and longitude phi. Yl  [ l,theta,phi ] Sequence of spherical harmonic of integer degree l, integer order m=0..l, latitude theta in [PI,PI] and longitude phi. round  [ x ] Round real x to nearest or even integer number. signum  [ x ] Sign of x. csgn  [ x ] Complex sign of x. sfact  [ n ] Semifactorial of integer n. mask  [ x ] Masks and unmasks the partial loss of precision error. If called with x = 0 that error message is disabled, if called with x != 0 that error message is enabled. Returns the previous state; default is unmasked.
Note. This is the same math library that was previously in the mcadefi plugin (mathlib.dll). So you need to update mcadefi plugin to avoid duplication of functions. Cephes Math Library. Functions.pdf (42kb) downloaded 110 time(s).Links: 1. Cephes Mathematical Library. 2. Collected Algorithms (CALGO). Edited by user 19 June 2020 10:57:12(UTC)
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