Biography
Biography: Nasser Saad
Abstract
Most theoretical physicists are aware of the significant applications of the hypergeometric differential equation and it’s impact was not only on Physics but also on many other areas of Science. The present talk answers the following simple question like under what conditions of the equation parameters do the differential equation.
Where, 
is a polynomial of degree j, have polynomial solutions and if it does, can we construct them explicitly? The answer to this question will lead us to study the Heun equation (n=3), where we analyze the possible polynomial solutions and study some of their mathematical properties. Some applications, for example, the general deformed Hulthen potentials and Soft-core Coulomb potential will be investigated.