Index

A

acos() (in module mpmath) acosh() (in module mpmath) acot() (in module mpmath) acoth() (in module mpmath) acsc() (in module mpmath) acsch() (in module mpmath) agm() (in module mpmath) airyai() (in module mpmath) airyaizero() (in module mpmath) airybi() (in module mpmath) airybizero() (in module mpmath) almosteq() (in module mpmath) altzeta() (in module mpmath) Anderson (class in mpmath.calculus.optimization) ANewton (class in mpmath.calculus.optimization) angerj() (in module mpmath)

apery (mpmath.mp attribute) appellf1() (in module mpmath) appellf2() (in module mpmath) appellf3() (in module mpmath) appellf4() (in module mpmath) arange() (in module mpmath) arg() (in module mpmath) asec() (in module mpmath) asech() (in module mpmath) asin() (in module mpmath) asinh() (in module mpmath) atan() (in module mpmath) atan2() (in module mpmath) atanh() (in module mpmath) autoprec() (in module mpmath)

B

backlunds() (in module mpmath) barnesg() (in module mpmath) bei() (in module mpmath) bell() (in module mpmath) ber() (in module mpmath) bernfrac() (in module mpmath) bernoulli() (in module mpmath) bernpoly() (in module mpmath) besseli() (in module mpmath) besselj() (in module mpmath)

besseljzero() (in module mpmath) besselk() (in module mpmath) bessely() (in module mpmath) besselyzero() (in module mpmath) beta() (in module mpmath) betainc() (in module mpmath) bihyper() (in module mpmath) binomial() (in module mpmath) Bisection (class in mpmath.calculus.optimization)

C

calc_nodes() (mpmath.calculus.quadrature.GaussLegendre method) (mpmath.calculus.quadrature.QuadratureRule method) (mpmath.calculus.quadrature.TanhSinh method) catalan (mpmath.mp attribute) cbrt() (in module mpmath) ceil() (in module mpmath) chebyfit() (in module mpmath) chebyt() (in module mpmath) chebyu() (in module mpmath) chi() (in module mpmath) cholesky() (in module mpmath) chop() (in module mpmath) ci() (in module mpmath) clcos() (in module mpmath) clear() (mpmath.calculus.quadrature.QuadratureRule method) clsin() (in module mpmath) cohen_alt() (in module mpmath)

conj() (in module mpmath) cos() (in module mpmath) cosh() (in module mpmath) cosm() (in module mpmath) cospi() (in module mpmath) cot() (in module mpmath) coth() (in module mpmath) coulombc() (in module mpmath) coulombf() (in module mpmath) coulombg() (in module mpmath) cplot() (in module mpmath) csc() (in module mpmath) csch() (in module mpmath) cyclotomic() (in module mpmath)

D

degree (mpmath.mp attribute) degrees() (in module mpmath) diff() (in module mpmath) differint() (in module mpmath) diffs() (in module mpmath)

diffs_exp() (in module mpmath) diffs_prod() (in module mpmath) digamma() (in module mpmath) dirichlet() (in module mpmath)

E

e (mpmath.mp attribute) e1() (in module mpmath) ei() (in module mpmath) ellipe() (in module mpmath) ellipf() (in module mpmath) ellipfun() (in module mpmath) ellipk() (in module mpmath) ellippi() (in module mpmath) elliprc() (in module mpmath) elliprd() (in module mpmath) elliprf() (in module mpmath) elliprg() (in module mpmath) elliprj() (in module mpmath) erf() (in module mpmath) erfc() (in module mpmath)

erfi() (in module mpmath) erfinv() (in module mpmath) estimate_error() (mpmath.calculus.quadrature.QuadratureRule method) euler (mpmath.mp attribute) eulernum() (in module mpmath) eulerpoly() (in module mpmath) exp() (in module mpmath) expint() (in module mpmath) expj() (in module mpmath) expjpi() (in module mpmath) expm() (in module mpmath) expm1() (in module mpmath) extradps() (in module mpmath) extraprec() (in module mpmath)

F

fabs() (in module mpmath) fac2() (in module mpmath) factorial() (in module mpmath) fadd() (in module mpmath) fdiv() (in module mpmath) fdot() (in module mpmath) ff() (in module mpmath) fibonacci() (in module mpmath) findpoly() (in module mpmath) findroot() (in module mpmath) floor() (in module mpmath) fmod() (in module mpmath)

fmul() (in module mpmath) fneg() (in module mpmath) fourier() (in module mpmath) fourierval() (in module mpmath) fprod() (in module mpmath) frac() (in module mpmath) fraction() (in module mpmath) fresnelc() (in module mpmath) fresnels() (in module mpmath) frexp() (in module mpmath) fsub() (in module mpmath) fsum() (in module mpmath)

G

gamma() (in module mpmath) gammainc() (in module mpmath) gammaprod() (in module mpmath) GaussLegendre (class in mpmath.calculus.quadrature) gegenbauer() (in module mpmath)

get_nodes() (mpmath.calculus.quadrature.QuadratureRule method) glaisher (mpmath.mp attribute) grampoint() (in module mpmath) guess_degree() (mpmath.calculus.quadrature.QuadratureRule method)

H

Halley (class in mpmath.calculus.optimization) hankel1() (in module mpmath) hankel2() (in module mpmath) harmonic() (in module mpmath) hermite() (in module mpmath) hyp0f1() (in module mpmath) hyp1f1() (in module mpmath) hyp1f2() (in module mpmath) hyp2f0() (in module mpmath) hyp2f1() (in module mpmath)

hyp2f2() (in module mpmath) hyp2f3() (in module mpmath) hyp3f2() (in module mpmath) hyper() (in module mpmath) hyper2d() (in module mpmath) hypercomb() (in module mpmath) hyperfac() (in module mpmath) hyperu() (in module mpmath) hypot() (in module mpmath)

I

identify() (in module mpmath) Illinois (class in mpmath.calculus.optimization) im() (in module mpmath) isfinite() (in module mpmath)

isinf() (in module mpmath) isint() (in module mpmath) isnan() (in module mpmath) isnormal() (in module mpmath)

J

j0() (in module mpmath) j1() (in module mpmath)

jacobi() (in module mpmath) jtheta() (in module mpmath)

K

kei() (in module mpmath) ker() (in module mpmath) kfrom() (in module mpmath)

khinchin (mpmath.mp attribute) kleinj() (in module mpmath)

L

laguerre() (in module mpmath) lambertw() (in module mpmath) ldexp() (in module mpmath) legendre() (in module mpmath) legenp() (in module mpmath) legenq() (in module mpmath) lerchphi() (in module mpmath) levin() (in module mpmath) li() (in module mpmath)

limit() (in module mpmath) linspace() (in module mpmath) ln() (in module mpmath) log() (in module mpmath) log10() (in module mpmath) loggamma() (in module mpmath) logm() (in module mpmath) lommels1() (in module mpmath) lommels2() (in module mpmath)

M

mag() (in module mpmath) mangoldt() (in module mpmath) maxcalls() (in module mpmath) MDNewton (class in mpmath.calculus.optimization) meijerg() (in module mpmath) memoize() (in module mpmath) mertens (mpmath.mp attribute)

mfrom() (in module mpmath) MNewton (class in mpmath.calculus.optimization) mnorm() (in module mpmath) monitor() (in module mpmath) mpmath.functions.elliptic (module) mpmathify() (in module mpmath) Muller (class in mpmath.calculus.optimization)

N

ncdf() (in module mpmath) Newton (class in mpmath.calculus.optimization) nint() (in module mpmath) nint_distance() (in module mpmath) norm() (in module mpmath) npdf() (in module mpmath)

nprint() (in module mpmath) nprod() (in module mpmath) nstr() (in module mpmath) nsum() (in module mpmath) nzeros() (in module mpmath)

O

odefun() (in module mpmath)

P

pade() (in module mpmath) pcfd() (in module mpmath) pcfu() (in module mpmath) pcfv() (in module mpmath) pcfw() (in module mpmath) Pegasus (class in mpmath.calculus.optimization) phi (mpmath.mp attribute) pi (mpmath.mp attribute) plot() (in module mpmath) polar() (in module mpmath) polyexp() (in module mpmath)

polylog() (in module mpmath) polyroots() (in module mpmath) polyval() (in module mpmath) power() (in module mpmath) powm() (in module mpmath) powm1() (in module mpmath) primepi() (in module mpmath) primepi2() (in module mpmath) primezeta() (in module mpmath) psi() (in module mpmath) pslq() (in module mpmath)

Q

qbarfrom() (in module mpmath) qfac() (in module mpmath) qfrom() (in module mpmath) qgamma() (in module mpmath) qhyper() (in module mpmath)

qp() (in module mpmath) quad() (in module mpmath) quadosc() (in module mpmath) QuadratureRule (class in mpmath.calculus.quadrature)

R

radians() (in module mpmath) rand() (in module mpmath) re() (in module mpmath) rect() (in module mpmath) rf() (in module mpmath)

rgamma() (in module mpmath) richardson() (in module mpmath) Ridder (class in mpmath.calculus.optimization) riemannr() (in module mpmath) root() (in module mpmath)

S

scorergi() (in module mpmath) scorerhi() (in module mpmath) sec() (in module mpmath) Secant (class in mpmath.calculus.optimization) sech() (in module mpmath) secondzeta() (in module mpmath) shanks() (in module mpmath) shi() (in module mpmath) si() (in module mpmath) siegeltheta() (in module mpmath) siegelz() (in module mpmath) sign() (in module mpmath) sin() (in module mpmath) sinc() (in module mpmath) sincpi() (in module mpmath) sinh() (in module mpmath)

sinm() (in module mpmath) sinpi() (in module mpmath) spherharm() (in module mpmath) splot() (in module mpmath) sqrt() (in module mpmath) sqrtm() (in module mpmath) stieltjes() (in module mpmath) stirling1() (in module mpmath) stirling2() (in module mpmath) struveh() (in module mpmath) struvel() (in module mpmath) sum_next() (mpmath.calculus.quadrature.QuadratureRule method) (mpmath.calculus.quadrature.TanhSinh method) sumap() (in module mpmath) sumem() (in module mpmath) summation() (mpmath.calculus.quadrature.QuadratureRule method) superfac() (in module mpmath)

T

tan() (in module mpmath) tanh() (in module mpmath) TanhSinh (class in mpmath.calculus.quadrature) taufrom() (in module mpmath)

taylor() (in module mpmath) timing() (in module mpmath) transform_nodes() (mpmath.calculus.quadrature.QuadratureRule method) twinprime (mpmath.mp attribute)

U

unitroots() (in module mpmath)

W

webere() (in module mpmath) whitm() (in module mpmath) whitw() (in module mpmath)

workdps() (in module mpmath) workprec() (in module mpmath)

Z

zeta() (in module mpmath)

zetazero() (in module mpmath)