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Let $H$ be an ultraspherical hypergroup associated with a locally compactgroup $G$ and a spherical projector $\pi$ and let $A(H)$ and $B(H)$ denote theFourier and Fourier-Stieltjes algebras, respectively, associated with $H.$ Inthis note, we study power boundedness and Ces\`aro boundedness in $B(H)$. Wealso characterize the power bounded property for both $A(H)$ and $B(H).$

Power boundedness in Fourier and Fourier-Stieltjes algebra of an ultraspherical hypergroup