Have a personal or library account? Click to login
Sine Subtraction Laws on Semigroups Cover
By: Bruce Ebanks  
Open Access
|Feb 2023

References

  1. [1] J. Aczél and J. Dhombres, Functional Equations in Several Variables. With Applications to Mathematics, Information Theory and to the Natural and Social Sciences, Encyclopedia of Mathematics and its Applications, 31, Cambridge University Press, Cambridge, 1989.
  2. [2] B. Ebanks, The cosine and sine addition and subtraction formulas on semigroups, Acta Math. Hungar. 165 (2021), no. 2, 337–354.
  3. [3] B. Ebanks, Around the sine addition law and d’Alembert’s equation on semigroups, Results Math. 77 (2022), no. 1, Paper No. 11, 14 pp.10.1007/s00025-021-01548-6
  4. [4] B. Ebanks and H. Stetkær, d’Alembert’s other functional equation on monoids with an involution, Aequationes Math. 89 (2015), no. 1, 187–206.
  5. [5] H. Stetkær, Functional Equations on Groups, World Scientific, Singapore, 2013.10.1142/8830
  6. [6] H. Stetkær, Extensions of the sine addition law on groups, Aequationes Math. 93 (2019), no. 2, 467–484.
  7. [7] H. Stetkær, Homomorphisms of product semigroups, Results Math. 77 (2022), no. 2, Paper No. 60, 21 pp.10.1007/s00025-022-01603-w
  8. [8] W.H. Wilson, On certain related functional equations, Bull. Amer. Math. Soc. 26 (1920), no. 7, 300–312.
DOI: https://doi.org/10.2478/amsil-2023-0002 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 49 - 66
Submitted on: Oct 17, 2022
Accepted on: Jan 10, 2023
Published on: Feb 7, 2023
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2023 Bruce Ebanks, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.