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In this paper the sine and cosine functional equations are considered and solved on arbitrary polynomial hypergroups in a single variable. The method of solution is based on spectral synthesis.
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Manuscript received: December 6, 2004 and, in final form, January 17, 2006.
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Orosz, Á. Sine and cosine equation on discrete polynomial hypergroups. Aequ. math. 72, 225–233 (2006). https://doi.org/10.1007/s00010-006-2835-9
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DOI: https://doi.org/10.1007/s00010-006-2835-9