A special case of the Confluent Hypergeometric Function of the First Kind. It gives the solution to the radial
Schrödinger equation in the Coulomb potential
() of a point nucleus

(1) |

(2) |

(3) |

(4) |

(5) |

**References**

Abramowitz, M. and Stegun, C. A. (Eds.). ``Coulomb Wave Functions.'' Ch. 14 in
*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.*
New York: Dover, pp. 537-544, 1972.

Morse, P. M. and Feshbach, H. *Methods of Theoretical Physics, Part I.* New York: McGraw-Hill, pp. 631-633, 1953.

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1999-05-25