| Std. Python function
| Tangent function
| -
|-
| sec(x)
| Std. Python function
| Secant function
| -
|-
| csc(x)
| Std. Python function
| Cosecant function
| -
|-
| cot(x)
| Std. Python function
| Cotangent function
| -
|-
| Std. Python function
| Inverse tangent function
| -
|-
| asec(x)
| Std. Python function
| Inverse secant function
| -
|-
| acsc(x)
| Std. Python function
| Inverse cosecant function
| -
|-
| acot(x)
| Std. Python function
| Inverse cotangent function
| -
|-
| Std. Python function
| Hyperbolic tangent function
| -
|-
| sech(x)
| Std. Python function
| Hyperbolic secant function
| -
|-
| csch(x)
| Std. Python function
| Hyperbolic cosecant function
| -
|-
| coth(x)
| Std. Python function
| Hyperbolic cotangent function
| -
|-
| -
|-
| asechsp.sici(x)
| Std. Python function
| Inverse hyperbolic secant function| -|-| acsch(x)| Std. Python function| Inverse hyperbolic cosecant function| -|-| acoth(x)| Std. Python function| Inverse hyperbolic cotangent function| -|-| Ci(x)| Std. Python function| Cosine Sine and cosine integral functionfunctions
| See [https://en.wikipedia.org/wiki/Trigonometric_integral Trigonometric Integrals on Wikipedia.]
|-
| Si(x)| Stdsp. Python function| Sine integral function| See [https://en.wikipedia.org/wiki/Trigonometric_integral Trigonometric Integrals on Wikipedia.]|-| C(x)| Std. Python function| Cosine Fresnel integral function| See [https://en.wikipedia.org/wiki/Fresnel_integral Fresnel Integrals on Wikipedia.]|-| Sfresnel(x)
| Std. Python function
| Sine and cosine Fresnel integral functionfunctions
| See [https://en.wikipedia.org/wiki/Fresnel_integral Fresnel Integrals on Wikipedia.]
|-
| Ellip_Esp.ellipe(x)
| Std. Python function
| Elliptic function of the first kind
| See [https://en.wikipedia.org/wiki/Elliptic_integral Elliptic Integrals on Wikipedia.]
|-
| Ellip_Ksp.ellipk(x)
| Std. Python function
| Elliptic function of the second kind
| See [https://en.wikipedia.org/wiki/Elliptic_integral Elliptic Integrals on Wikipedia.]
|-
| Eisp.expi(x)
| Std. Python function
| Exponential integral function
| See [https://en.wikipedia.org/wiki/Exponential_integral Exponential Integrals on Wikipedia.]
|-
| Ensp.expn(n,x)
| Std. Python function
| Generalized exponential integral function of order n
| -
|-
| sp.erf(x)
| Std. Python function
| Error function
| See [https://en.wikipedia.org/wiki/Error_function Error Function on Wikipedia.]
|-
| sp.erfc(x)| Std. Python function| Complementary error function| See [https://en.wikipedia.org/wiki/Error_function Error Function on Wikipedia.]|-| sp.gamma(x)
| Std. Python function
| Gamma function
| See [https://en.wikipedia.org/wiki/Gamma_function Gamma Function on Wikipedia.]
|-
| Airy_Asp.airy(x)
| Std. Python function
| Airy function of the first (Ai) and second (Bi) kindand their derivatives
| See [https://en.wikipedia.org/wiki/Airy_function Airy Functions on Wikipedia.]
|-
| Airy_Bsp.j0(x)
| Std. Python function
| Airy Bessel function of the second first kindand order 0| See [https://en.wikipedia.org/wiki/Airy_function Airy Bessel_function Bessel Functions on Wikipedia.]
|-
| Jnsp.j1(x)| Std. Python function| Bessel function of the first kind and order 1| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]|-| sp.jv(n,x)
| Std. Python function
| Bessel function of the first kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| Ynsp.y0(x)| Std. Python function| Bessel function of the second kind and order 0| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]|-| sp.y1(x)| Std. Python function| Bessel function of the second kind and order 1| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]|-| sp.yv(n,x)
| Std. Python function
| Bessel function of the second kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| Insp.i0(x)| Std. Python function| Modified Bessel function of the first kind and order 0| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]|-| sp.i1(x)| Std. Python function| Modified Bessel function of the first kind and order 1| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]|-| sp.iv(n,x)
| Std. Python function
| Modified Bessel function of the first kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| Knsp.k0(x)| Std. Python function| Modified Bessel function of the second kind and order 0| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]|-| sp.k1(x)| Std. Python function| Modified Bessel function of the second kind and order 1| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]|-| sp.kv(n,x)
| Std. Python function
| Modified Bessel function of the second kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| SB_jnsp.sph_jn(n,x)
| Std. Python function
| Spherical Bessel function of the first kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| SB_ynsp.sph_yn(n,x)
| Std. Python function
| Spherical Bessel function of the second kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| SB_insp.sph_in(n,x)
| Std. Python function
| Modified spherical Bessel function of the first kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| SB_knsp.sph_kn(n,x)
| Std. Python function
| Modified spherical Bessel function of the second kind and order n
| See [https://en.wikipedia.org/wiki/Bessel_function Bessel Functions on Wikipedia.]
|-
| Pnsp.lpn(n,x)
| Std. Python function
| Legendre function of the first kind and order n
| See [https://en.wikipedia.org/wiki/Legendre_polynomial Legendre Polynomials on Wikipedia.]
|-
| Qnsp.lqn(n,x)
| Std. Python function
| Legendre function of the second kind and order n
| See [https://en.wikipedia.org/wiki/Legendre_polynomials Legendre Polynomials on Wikipedia.]
|-
| Tnsp.lpmn(m,n,x)| Std. Python function| Associated Legendre function of the first kind and order n| See [https://en.wikipedia.org/wiki/Legendre_polynomial Legendre Polynomials on Wikipedia.]|-| sp.lqmn(m,n,x)| Std. Python function| Associated Legendre function of the second kind and order n| See [https://en.wikipedia.org/wiki/Legendre_polynomials Legendre Polynomials on Wikipedia.]|-| sp.eval_chebyt(n,x)
| Std. Python function
| Chebyshev polynomial of the first kind and order n
| See [https://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev Polynomials on Wikipedia.]
|-
| Unsp.eval_chebyu(n,x)
| Std. Python function
| Chebyshev polynomial of the second kind and order n
| See [https://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev Polynomials on Wikipedia.]
|-
| LGnsp.eval_legendre(n,x)| Std. Python function| Legendre polynomial of order n| See [https://en.wikipedia.org/wiki/Legendre_polynomials Legendre Polynomials on Wikipedia.]|-| sp.eval_laguerre(n,x)
| Std. Python function
| Laguerre polynomial of order n
| See [https://en.wikipedia.org/wiki/Laguerre_polynomials Laguerre Polynomials on Wikipedia.]
|-
| Hnsp.eval_hermite(n,x)
| Std. Python function
| Hermite polynomial of order n
| See [https://en.wikipedia.org/wiki/Hermite_polynomials Hermite Polynomials on Wikipedia.]
|-
| Un(n,x)
| Std. Python function
| Hermite-Gauss function of order n
| -
|-
| Math_ce(n,r,x)
| See [https://en.wikipedia.org/wiki/Mathieu_function Mathieu Functions on Wikipedia.]
|-
| Rectrect(x)
| EMAG Python function
| Rectangle function
| 1 if |x|≤0.5, 0 elsewhere
|-
| Tritri(x)
| EMAG Python function
| Triangle function
| 1 if |1-x|≤1, 0 elsewhere
|-
| Spln2spline2(x)
| EMAG Python function
| Quadratic spline function
| -
|-
| Spln3spline3(x)
| EMAG Python function
| Cubic spline function
| -
|-
| Stepstep(x)
| EMAG Python function
| Step function
| 1 if x>0, 0 if x<0
|-
| Haar(x)| EMAG Python function| Haar function| sign(x) if |x|<0.5, 0 elsewhere|-| Rampramp(x)
| EMAG Python function
| Ramp function
| -
|-
| Trapz(a,x)| EMAG Python function| Trapezoidal function| -|-| Sqwvsqr_wave(x)
| EMAG Python function
| Square wave function
| -
|-
| Stwv(x)| EMAG Python function| Sawtooth wave function| -|-| Trwvtri_wave(x)
| EMAG Python function
| Triangle wave function
| -
|-
| Plstrsawtooth(d,x)
| EMAG Python function
| Pulse train Sawtooth wave function with duty cycle d
| -
|-
| Sincsinc(d,x)
| EMAG Python function
| Sinc function
| sin(pi*x)/(pi*x)
|-
| Fejerrand(nx,x)| EMAG Python function| Fejer function of order n| -|-| Rand(xy)
| EMAG Python function
| Random function