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Sine functions on hypergroups

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Abstract

In a recent paper, we introduced sine functions on commutative hypergroups. These functions are natural generalizations of those functions on groups which are products of additive and multiplicative homomorphisms. In this paper, we describe sine functions on different types of hypergroups, including polynomial hypergroups, Sturm–Liouville hypergroups, etc. A non-commutative hypergroup is also considered.

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Authors and Affiliations

  1. Institute of Mathematical Finance, Ulm University, Helmholtzstrasse 18, 89081, Ulm, Germany

    Żywilla Fechner

  2. Institute of Mathematics, University of Debrecen, Debrecen, Hungary

    László Székelyhidi

Authors
  1. Żywilla Fechner
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  2. László Székelyhidi
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Corresponding author

Correspondence to László Székelyhidi.

Additional information

The research was partly supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. K111651.

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Fechner, Ż., Székelyhidi, L. Sine functions on hypergroups. Arch. Math. 106, 371–382 (2016). https://doi.org/10.1007/s00013-016-0884-4

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  • DOI: https://doi.org/10.1007/s00013-016-0884-4

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