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Asymptotic expansion of the solution of a differential-difference equation of general form

✍ Scribed by Sgibnev, M. S.


Book ID
124095509
Publisher
Springer
Year
2014
Tongue
English
Weight
391 KB
Volume
50
Category
Article
ISSN
0012-2661

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✍ L. JΓ³dar; J.C. CortΓ©s πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 778 KB

In this paper, the hypergeometric matrix differential equation z( 1 -t)W" -zAW' + W'(C -z(B + I)) -AWB = 0 is studied. First it is proved that if matrix C is invertible and no negative integer is one of its eigenvalues, then the hypergeometric matrix function F(A, B; C; z) is an analytic solution in