Investigation of convergence of ξ approximations on complex number plane

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Demiriz I.

mathematical modelling, vol.2, no.4, pp.134-135, 2018 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 2 Issue: 4
• Publication Date: 2018
• Journal Name: mathematical modelling
• Page Numbers: pp.134-135
• Yıldız Technical University Affiliated: Yes

Abstract

Investigation of convergence of ξ approximations on complex number plane

• Işım Genç DEMİRİZ1

• 1 Department of Mathematics, Davutpaşa Campus-Yıldız Technical University of İstanbul, Turkey

Abstract

In this study, the convergence behaviour of the ξ approximants for the exponantial operators is investigated on the entire complex plain. The purpose of this study is to develop an algorithm to observe how to transform a initial region on the complex plane defined by ξ approximants.

Keywords

• lie operators
• complex recursive functions
• evaluation operators

References

1. Feynman R.P., Phys. Rev.,(1951)
2. Aizu K., Math. Phys., (1963)
3. Demiralp M., Rabitz H., Factorization of Certain Evaluation Operators Using Lie algebra: Formulation Method, J. Math. Chem., Vol.6,,pp165-192, (1991)
4. Demiralp M., Rabitz H., Factorization of Certain Evaluation Operators : Convergenge Theorems, J. Math. Chem., Vol.6,,pp193-208, (1991)