SolitaryRoad.com

Website owner:  James Miller


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Special functions



Select from the following:

Gamma function

Beta function

Bernoulli and Euler numbers

Bessel functions of the first and second kind. Bessel's differential equation. Hankel functions. Modified Bessel functions. Recurrence formulas.

Legendre functions of the first and second kind. Legendre differential equation. Legendre polynomials. Recurrence formulas. Generating function. Associated Legendre functions

Hermite polynomials. Hermite's differential equation. Generating function. Recurrence formulas.

Laguerre Polynomials. Laguerre differential equation. Recurrence formulas. Generating function. Associated Laguerre polynomials.

Chebyshev polynomials of the first and second kind. Chebyshev's differential equation. Recurrence formulas. Generating function.

Hypergeometric functions. Gauss hypergeometric differential equation. Confluent hypergeometric differential equation.

Elliptic integrals of the first, second and third kind. Jacobian elliptic functions. Identities, formulas, series expansions, derivatives, integrals.

Error and complementary error functions. Exponential integral. Sine and cosine integrals. Fresnel sine and cosine integrals.


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