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Bessel & Related Functions
Compute properties for Bessel and Bessel-related functions.
Integrate a spherical Bessel function:
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Beta Functions
Compute properties for the Euler beta or incomplete beta function.
Compute values of the Beta function:
Plot values of the incomplete Beta function:
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Elliptic Functions
Compute properties for elliptic functions and other related functions.
Plot an elliptic integral:
Compute the Taylor series of nome:
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Error Functions
Compute properties for the error function and complementary error function.
Compute values of the error function:
Analyze the complementary error function:
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Gamma & Related Functions
Compute properties for gamma and gamma-related functions.
Compute properties of the gamma function:
Simplify expressions involving gamma:
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Legendre Polynomials
Compute properties for Legendre polynomials of the first and the second kind.
Compute Legendre
P
polynomials:
Plot a Legendre
Q
polynomial:
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Spheroidal Functions
Compute properties for spheroidal functions of the first and the second kind.
Evaluate S(1) numerically:
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Zeta Functions
Compute properties for the family of zeta functions.
Plot the zeta function on the critical line:
Numerically evaluate zeta near one of the nontrivial zeros:
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