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Polynomially linked additive functions

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Abstract

This article has two aims. First, we provide the solution to a problem posed by the author in a previous paper. Second, we consider a problem posed by Kannappan and Kurepa (Aequat Math 4: 163–175, 1970). Our results show that additive functions linked by certain types of functional equations are combinations of linear functions and derivations of various orders. We show that this is not generally the case for the problem of Kannappan and Kurepa, and we modify their problem accordingly.

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Authors and Affiliations

  1. Department of Mathematics, University of Louisville, Louisville, KY, 40292, USA

    Bruce Ebanks

  2. Department of Mathematics and Statistics, Mississippi State University, Starkville, MS, 39762, USA

    Bruce Ebanks

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  1. Bruce Ebanks
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Correspondence to Bruce Ebanks.

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Ebanks, B. Polynomially linked additive functions. Aequat. Math. 91, 317–330 (2017). https://doi.org/10.1007/s00010-016-0449-4

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  • DOI: https://doi.org/10.1007/s00010-016-0449-4

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