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Computation of the Kummer functions and Whittaker functions by using Neumann type series expansions

✍ Scribed by E. Badralexe; P. Marksteiner; Y. Oh; A.J. Freeman


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
685 KB
Volume
71
Category
Article
ISSN
0010-4655

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✦ Synopsis


The Neumann series representation for the Bessel functions and Neumann functions is generalized for the regular and irregular solutions of the Kummer equation. This representation results in a convenient algorithm for the computation of a large family of special functions, e.g., most of the soluble cases of the SchrΓΆdinger equation, including complex energies or a complex (optical) potential.


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