WM Whittaker M
WM.1 Introduction |
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Let be a complex variable of and let denote a set of parameters (independent of ).The function Whittaker M (noted ) is defined by the following second order differential equation
WM.1.1 |
Although is a singularity of WM.1.1, the initial conditions can be given by
WM.1.2 |
The formulae of this document are valid for
Related function: Whittaker W
WM.2 Series and asymptotic expansions |
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WM.2.1 Asymptotic expansion at |
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WM.2.1.2 General form |
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WM.2.1.2.1 |
WM.2.1.2.2 |
WM.2.1.2.3 |
WM.2.1.2.4 |
WM.2.2 Asymptotic expansion at |
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WM.2.2.2 General form |
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