Geodesic
The al-Husayn Equation $x^4+y^2=z^2$
Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 365-377

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We study the set of all natural solutions of the equation $x^4+y^2=z^2$, obtain general formulas describing all such solutions, and prove their equivalence.
Keywords: the al-Husayn equation $x^4+y^2=z^2$, Pythagorean triangle, arithmetical function.
Mots-clés : Diophantine equation 
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     author = {S. Sh. Kozhegel'dinov},
     title = {The {al-Husayn} {Equation} $x^4+y^2=z^2$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {365--377},
     publisher = {mathdoc},
     volume = {89},
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     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a5/}
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S. Sh. Kozhegel'dinov. The al-Husayn Equation $x^4+y^2=z^2$. Matematičeskie zametki, Tome 89 (2011) no. 3, pp. 365-377. http://geodesic.mathdoc.fr/item/MZM_2011_89_3_a5/