Special Functions#
Airy functions#
Airy functions and their derivatives. |
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Exponentially scaled Airy functions and their derivatives. |
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Integrals of Airy functions |
Information Theory functions#
Elementwise function for computing entropy. |
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Elementwise function for computing relative entropy. |
Bessel functions#
Bessel function of the first kind of real order and complex argument. |
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Exponentially scaled Bessel function of order v. |
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Bessel function of the second kind of integer order and real argument. |
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Bessel function of the second kind of real order and complex argument. |
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Exponentially scaled Bessel function of the second kind of real order. |
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Modified Bessel function of the second kind of integer order n |
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Modified Bessel function of the second kind of real order v |
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Exponentially scaled modified Bessel function of the second kind. |
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Modified Bessel function of the first kind of real order. |
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Exponentially scaled modified Bessel function of the first kind |
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Hankel function of the first kind |
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Exponentially scaled Hankel function of the first kind |
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Hankel function of the second kind |
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Exponentially scaled Hankel function of the second kind |
Error functions and fresnel integrals#
Returns the error function of complex argument. |
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Complementary error function, |
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Scaled complementary error function, |
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Imaginary error function, |
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Inverse of the error function. |
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Inverse of the complementary error function. |
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Faddeeva function |
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Dawson's integral. |
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Fresnel integrals. |
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Modified Fresnel positive integrals |
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Modified Fresnel negative integrals |
Ellipsoidal harmonics#
Ellipsoidal harmonic functions E^p_n(l) |
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Ellipsoidal harmonic functions F^p_n(l) |
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Ellipsoidal harmonic normalization constants gamma^p_n |
Elliptic functions and integrals#
Complete elliptic integral of the first kind. |
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Complete elliptic integral of the first kind around m = 1 |
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Incomplete elliptic integral of the first kind |
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Complete elliptic integral of the second kind |
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Incomplete elliptic integral of the second kind |
Convenience functions#
Compute |