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WhittakerM - The Whittaker M function
WhittakerW - The Whittaker W function
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Calling Sequence
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WhittakerM(mu, nu, z)
WhittakerW(mu, nu, z)
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Parameters
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mu
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algebraic expression
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nu
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algebraic expression
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z
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-
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algebraic expression
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Description
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The Whittaker functions WhittakerM(mu, nu, z) and WhittakerW(mu, nu, z) solve the differential equation
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They can be defined in terms of the hypergeometric and Kummer functions as follows:
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![WhittakerM(mu, nu, z) = exp(-(1/2)*z)*z^(1/2+nu)*hypergeom([1/2+nu-mu], [1+2*nu], z)](/support/helpjp/helpview.aspx?si=6318/file00780/math86.png)
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Examples
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References
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Abramowitz, M., and Stegun I. Handbook of Mathematical Functions. New York: Dover Publications.
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Luke, Y. The Special Functions and Their Approximations. Vol 1. Academic Press, 1969.
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