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Afrika Matematika

, Volume 29, Issue 1–2, pp 73–79 | Cite as

Extensions of Vandermonde determinant by computing divided differences

  • Wenchang Chu
  • Xiaoyuan Wang
Article
  • 100 Downloads

Abstract

As extensions of Vandermonde determinant, we establish a general determinant evaluation formula by means of the Laplace expansion formula. Several interesting determinant identities are consequently derived by computing divided differences.

Keywords

Vandermonde determinant Divided differences Symmetric functions 

Mathematics Subject Classification

Primary 15A15 Secondary 05E05 

Notes

Acknowledgements

The authors are sincerely grateful to the anonymous referees for their careful reading and valuable comments that have significantly contributed to improve the manuscript during the revision.

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsZhoukou Normal UniversityZhoukouChina
  2. 2.School of ScienceDalian Jiaotong UniversityDalianChina
  3. 3.Dipartimento di Matematica e Fisica “Ennio De Giorgi”Università del SalentoLecceItaly

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