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Complete Asymptotic Expansion for Generalized Favard Operators

โœ Scribed by Ulrich Abel; Paul L. Butzer

Publisher
Springer
Year
2011
Tongue
English
Weight
534 KB
Volume
35
Category
Article
ISSN
0176-4276

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We present the complete asymptotic expansion for the Meyer-Konig and Zeller ลฝ ลฝ . . yk ลฝ . operators M f t ; x as n tends to infinity. All coefficients of n ks1, 2, . . . n are calculated explicitly in terms of Stirling numbers of the first and second kind.

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## Abstract Some expansion and completeness theorems for operator manifolds, which are currently being employed in propagator theory, are derived. It is shown that excitation or ionization operators satisfying the conditions __Q__|0ใ€‰ = |ฮ›ใ€‰ and __Q__~ฮ›~|0ใ€‰ = 0 for general excited states |ฮ›ใ€‰ and refe