Upper and lower bounds on Mathieu characteristic numbers of integer orders

Autor:	Armando G. M. Neves
Rok vydání:	2004
Předmět:	Discrete mathematics Constructive proof Applied Mathematics Recursion (computer science) Upper and lower bounds Combinatorics Integer Computer Science::Systems and Control Convergence (routing) Order (group theory) Analysis Characteristic number Meromorphic function Mathematics
Zdroj:	Communications on Pure and Applied Analysis. 3:447-464
ISSN:	1534-0392
DOI:	10.3934/cpaa.2004.3.447
Popis:	For each Mathieu characteristic number of integer order (MCN) we construct sequences of upper and lower bounds both converging to the MCN. The bounds arise as zeros of polynomials in sequences generated by recursion. This result is based on a constructive proof of convergence for Ince's continued fractions. An important role is also played by the fact that the continued fractions define meromorphic functions.
Databáze:	OpenAIRE
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