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A Kannappan-Cosine Functional Equation on Semigroups

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27 avr. 2024
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J. Aczél, Lectures on Functional Equations and Their Applications, Mathematics in Science and Engineering, Vol. 19, Academic Press, New York, 1966. AczélJ. Lectures on Functional Equations and Their Applications Mathematics in Science and Engineering 19 Academic Press New York 1966 Search in Google Scholar

O. Ajebbar and E. Elqorachi, The cosine-sine functional equation on a semigroup with an involutive automorphism, Aequationes Math. 91 (2017), no. 6, 1115–1146. AjebbarO. ElqorachiE. The cosine-sine functional equation on a semigroup with an involutive automorphism Aequationes Math. 91 2017 6 1115 1146 Search in Google Scholar

O. Ajebbar and E. Elqorachi, Solutions and stability of trigonometric functional equations on an amenable group with an involutive automorphism, Commun. Korean Math. Soc. 34 (2019), no. 1, 55–82. AjebbarO. ElqorachiE. Solutions and stability of trigonometric functional equations on an amenable group with an involutive automorphism Commun. Korean Math. Soc. 34 2019 1 55 82 Search in Google Scholar

B. Ebanks, The sine addition and subtraction formulas on semigroups, Acta Math. Hungar. 164 (2021), no. 2, 533–555. EbanksB. The sine addition and subtraction formulas on semigroups Acta Math. Hungar. 164 2021 2 533 555 Search in Google Scholar

B. Ebanks, The cosine and sine addition and subtraction formulas on semigroups, Acta Math. Hungar. 165 (2021), no. 2, 337–354. EbanksB. The cosine and sine addition and subtraction formulas on semigroups Acta Math. Hungar. 165 2021 2 337 354 Search in Google Scholar

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. EbanksB. Around the sine addition law and d’Alembert’s equation on semigroups Results Math. 77 2022 1 Paper No. 11, 14 pp. Search in Google Scholar

A. Jafar, O. Ajebbar, and E. Elqorachi, A Kannappan-sine addition law on semigroups, arXiv preprint, 2023. Available at arXiv: 2304.14146. JafarA. AjebbarO. ElqorachiE. A Kannappan-sine addition law on semigroups arXiv preprint, 2023 Available at arXiv: 2304.14146. Search in Google Scholar

S. Kabbaj, M. Tial, and D. Zeglami, The integral cosine addition and sine subtraction laws, Results Math. 73 (2018), no. 3, Paper No. 97, 19 pp. KabbajS. TialM. ZeglamiD. The integral cosine addition and sine subtraction laws Results Math. 73 2018 3 Paper No. 97, 19 pp. Search in Google Scholar

Pl. Kannappan, A functional equation for the cosine, Canad. Math. Bull. 11 (1968), no. 3, 495–498. KannappanPl. A functional equation for the cosine Canad. Math. Bull. 11 1968 3 495 498 Search in Google Scholar

T.A. Poulsen and H. Stetkær, The trigonometric subtraction and addition formulas, Aequationes Math. 59 (2000), no. 1–2, 84–92. PoulsenT.A. StetkærH. The trigonometric subtraction and addition formulas Aequationes Math. 59 2000 1–2 84 92 Search in Google Scholar

H. Stetkær, Functional Equations on Groups, World Scientific Publishing Company, Singapore, 2013. StetkærH. Functional Equations on Groups World Scientific Publishing Company Singapore 2013 Search in Google Scholar

H. Stetkær, The cosine addition law with an additional term, Aequationes Math. 90 (2016), no. 6, 1147–1168. StetkærH. The cosine addition law with an additional term Aequationes Math. 90 2016 6 1147 1168 Search in Google Scholar

H. Stetkær, Kannappan’s functional equation on semigroups with involution, Semigroup Forum 94 (2017), no. 1, 17–30. StetkærH. Kannappan’s functional equation on semigroups with involution Semigroup Forum 94 2017 1 17 30 Search in Google Scholar

Langue:
Anglais
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2 fois par an
Sujets de la revue:
Mathématiques, Mathématiques générales