In this work we explore some mathematical physics aspects of the spherically symmetric Lovelock black hole in high dimensions. Intended for aim, thoroughly consider metric corresponding to five-dimensional spacetime. We construct strong retractions by geodesic equations on background under consideration. As a result, from topological point view, theory homotopy retract, which will allow us, pri...

We consider the rational Heun operator defined as most general second-order q-difference which sends any function of type $$[(n-1)/n]$$ to a $$[n/(n+1)]$$ . shall take poles be located on Askey–Wilson grid. It is shown that this related one-dimensional degeneration Ruijsenaars–van Diejen Hamiltonians. The Wilson biorthogonal functions $${_{10}}\Phi _9$$ are found solutions generalized eigenvalu...