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_laplace_parameter() (mpmath.calculus.inverselaplace.Cohen method) (mpmath.calculus.inverselaplace.deHoog method) (mpmath.calculus.inverselaplace.FixedTalbot method) (mpmath.calculus.inverselaplace.Stehfest method) calc_nodes() (mpmath.calculus.quadrature.GaussLegendre method) (mpmath.calculus.quadrature.QuadratureRule method) (mpmath.calculus.quadrature.TanhSinh method) calc_time_domain_solution() (mpmath.calculus.inverselaplace.Cohen method) (mpmath.calculus.inverselaplace.deHoog method) (mpmath.calculus.inverselaplace.FixedTalbot method) (mpmath.calculus.inverselaplace.Stehfest 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 (class in mpmath.calculus.inverselaplace) 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) deHoog (class in mpmath.calculus.inverselaplace) 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) eta() (in module mpmath) euler() (in module mpmath.mp) 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) FixedTalbot (class in mpmath.calculus.inverselaplace) 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) invertlaplace() (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) log1p() (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) module mpmath.functions.elliptic 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() (in module mpmath.mp) 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) quadsubdiv() (in module mpmath)

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

sawtoothw() (in module mpmath) 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) sigmoid() (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) squarew() (in module mpmath) Stehfest (class in mpmath.calculus.inverselaplace) 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) trianglew() (in module mpmath) twinprime (mpmath.mp attribute)

U

unit_triangle() (in module mpmath)

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)