Alienation of Drygas’ and Cauchy’s Functional Equations
Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation f(x+y)+g(x+y)g(x-y)=f(x)f(y)+2g(x)+g(y)+g(-y).f\left( {x + y} \right) + g\left( {x...
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Sciendo
2021-09-01
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| Series: | Annales Mathematicae Silesianae |
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| Online Access: | https://doi.org/10.2478/amsil-2021-0002 |
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doaj-2b22b1542a324dd8b8ea32f65f8312452021-10-03T07:42:44ZengSciendoAnnales Mathematicae Silesianae2391-42382021-09-0135213114810.2478/amsil-2021-0002Alienation of Drygas’ and Cauchy’s Functional EquationsAissi Youssef0Zeglami Driss1Fadli Brahim2Department of MathematicsE.N.S.A.M, Moulay ISMAIL University, B.P. 15290, Al Mansour Meknes, MoroccoDepartment of MathematicsE.N.S.A.M, Moulay ISMAIL University, B.P. 15290, Al Mansour Meknes, MoroccoDepartment of Mathematics, Faculty of SciencesChouaib Doukkali University, B.P. 20 24000, El Jadida, MoroccoInspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation f(x+y)+g(x+y)g(x-y)=f(x)f(y)+2g(x)+g(y)+g(-y).f\left( {x + y} \right) + g\left( {x + y} \right)g\left( {x - y} \right) = f\left( x \right)f\left( y \right) + 2g\left( x \right) + g\left( y \right) + g\left( { - y} \right).https://doi.org/10.2478/amsil-2021-0002alienationexponential cauchy equationadditive cauchy equationlogarithmic cauchy equationdrygas’ functional equation39b3239b4239b72 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aissi Youssef Zeglami Driss Fadli Brahim |
| spellingShingle |
Aissi Youssef Zeglami Driss Fadli Brahim Alienation of Drygas’ and Cauchy’s Functional Equations Annales Mathematicae Silesianae alienation exponential cauchy equation additive cauchy equation logarithmic cauchy equation drygas’ functional equation 39b32 39b42 39b72 |
| author_facet |
Aissi Youssef Zeglami Driss Fadli Brahim |
| author_sort |
Aissi Youssef |
| title |
Alienation of Drygas’ and Cauchy’s Functional Equations |
| title_short |
Alienation of Drygas’ and Cauchy’s Functional Equations |
| title_full |
Alienation of Drygas’ and Cauchy’s Functional Equations |
| title_fullStr |
Alienation of Drygas’ and Cauchy’s Functional Equations |
| title_full_unstemmed |
Alienation of Drygas’ and Cauchy’s Functional Equations |
| title_sort |
alienation of drygas’ and cauchy’s functional equations |
| publisher |
Sciendo |
| series |
Annales Mathematicae Silesianae |
| issn |
2391-4238 |
| publishDate |
2021-09-01 |
| description |
Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation
f(x+y)+g(x+y)g(x-y)=f(x)f(y)+2g(x)+g(y)+g(-y).f\left( {x + y} \right) + g\left( {x + y} \right)g\left( {x - y} \right) = f\left( x \right)f\left( y \right) + 2g\left( x \right) + g\left( y \right) + g\left( { - y} \right). |
| topic |
alienation exponential cauchy equation additive cauchy equation logarithmic cauchy equation drygas’ functional equation 39b32 39b42 39b72 |
| url |
https://doi.org/10.2478/amsil-2021-0002 |
| work_keys_str_mv |
AT aissiyoussef alienationofdrygasandcauchysfunctionalequations AT zeglamidriss alienationofdrygasandcauchysfunctionalequations AT fadlibrahim alienationofdrygasandcauchysfunctionalequations |
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1716845791868354560 |