2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138865We obtain an explicit representation for quasiradial $γ$-harmonic functions, which shows that these functions have essentially algebraic nature. In particular, we give a complete description of all $γ$ which admit algebraic quasiradial solutions. Unlike the cases $γ=\infty$ and $γ=1$, only finitely many algebraic solutions is shown to exist for any fixed $|γ|>1$. Moreover, there is a special extremal series of $γ$ which exactly corresponds to the well-known ideal $m$-atomic gas adiabatic constant $γ=\frac{2m+3}{2m+1}$.21 pagesMathematical PhysicsAnalysis of PDEs35J60; 14H05; 70H11; 14H70text