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Mixtures of Probability Distributions Uniquely Determined by Their Behavior on a Half-Line

✍ Scribed by Kruglov, V. M.; Ulanovskii, A. M.

Book ID
118220684
Publisher
Society for Industrial and Applied Mathematics
Year
1988
Tongue
English
Weight
694 KB
Volume
32
Category
Article
ISSN
0040-585X

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## Abstract For __Ξ±__ ∈ [0, 2__Ο€__], consider the Sturm‐Liouville equation on the half line __y__β€³(__x__) + (__Ξ»__ βˆ’ __q__(__x__))__y__(__x__) = 0,  0 ≀ __x__ < ∞, with __y__(0) = sin__Ξ±__,  __y__β€²(0) = βˆ’cos__Ξ±__. For each __Ξ»__ > 0, denote by __Ο•__(__x, Ξ»__) the solution of the above initial‐v