Investigation of convergence of ξ approximations on complex number plane

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Demiriz I.

mathematical modelling, cilt.2, sa.4, ss.134-135, 2018 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2 Sayı: 4
• Basım Tarihi: 2018
• Dergi Adı: mathematical modelling
• Sayfa Sayıları: ss.134-135
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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)