Analytic formula for quasinormal modes in the near-extreme Kerr-Newman–de Sitter spacetime governed by a non-Pöschl-Teller potential

Quasinormal modes of scalar, electromagnetic, and gravitational fields in the extreme Schwarzschild-de Sitter background are known to be expressed analytic form as eigenvalues P\"oschl-Teller wavelike equation. We show that perturbations fermionic (given by Dirac Rarita-Schwinger equations) do not lead effective potential. Nevertheless, using Frobenius method we find quasinormal analytically this case well. write down analytical formula for frequencies near-extreme black holes, which is valid both bosonic fields. further extend analysis charged rotating holes a general various spin near Kerr-Newman-de spacetime.