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- Title
Abel and Cauchy-Hadamard theorems for series of exponential monomials.
- Authors
Napalkov, V. V.; Krivosheeva, O. A.
- Abstract
The article provides information on the applicability of the Abel and Cauchy-Hadamard theorems in determining the exponential monomial series. It connotes the analysis of the series of exponential monomials' convergence and cites the expansion of the convex domain's analytical function within the exponential series along with fixed exponents. It entails the application of convergence analysis to the exponential monomials along with the eigenvalue's multiplicity. Furthermore, the computation techniques as well as the theorems of the mentioned series are also highlighted.
- Subjects
CAUCHY integrals; HADAMARD matrices; PARTIAL differential equations; COMPLEX variables; EXPONENTIAL functions; CONVEX domains; EIGENVALUES; STOCHASTIC convergence; ACCELERATION of convergence in numerical analysis
- Publication
Doklady Mathematics, 2010, Vol 81, Issue 3, p449
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562410030312