NEW SOLUTIONS OF ANGULAR TEUKOLSKY EQUATION VIA TRANSFORMATION TO HEUNS EQUATION WITH THE APPLICATION OF RATIONAL POLYNOMIAL OF AT MOST DEGREE 2, 3, 4, 5, 6

The perturbation equation of masseless fields for Kerr-de Sitter geometryare written in form of seperable equations as in [17] called the Angular Teukolsky equation. The Angular Teukolsky equation is converted to General Heun's equation with singularities coinciding through some confluent process of one of five singularities. As in [4, 16, and 17] rational polynomials of at most degree six are introduced. AMS Subject classification: 33XX.