: Astronomie: Bessel function

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Bessel function

Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's differential equation x²y″ + xy′ + (x²- α²y = 0 for an arbitrary complex number α , the order of the Bessel function. Although α and − α produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of α. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Bessel_function)

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