confluent hypergeometric function

(redirected from Whittaker's function)

confluent hypergeometric function

[kən′flü·ənt ¦hī·pər‚jē·ə¦me‚trik ′fəŋk·shən]
(mathematics)
A solution to differential equation z (d 2 w/dz 2) + (ρ-z)(dw/dz)-α w = 0.
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Expanding Whittaker's function up to linear terms and using boundary condition (8), we get