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Some experiments with complete and elementary symmetric functions

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Abstract

The complete and elementary symmetric functions are special cases of Schur functions. It is well-known that the Schur functions can be expressed in terms of complete or elementary symmetric functions using two determinant formulas: Jacobi–Trudi identity and Nägelsbach–Kostka identity. In this paper, we study new connections between complete and elementary symmetric functions.

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References

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Acknowledgments

The author expresses his gratitude to Dr. Oana Merca for the careful reading of the manuscript and helpful remarks. Finally, special thanks go to the anonymous referee for many suggestions to and comments on the original version of this paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Craiova, 200585 , Craiova, Romania

    Mircea Merca

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  1. Mircea Merca
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Correspondence to Mircea Merca.

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Merca, M. Some experiments with complete and elementary symmetric functions. Period Math Hung 69, 182–189 (2014). https://doi.org/10.1007/s10998-014-0034-3

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  • DOI: https://doi.org/10.1007/s10998-014-0034-3

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