Physical problems admitting Heun-to-hypergeometric reduction

The Heun´s equation and its confluent forms emerge in many physical applications. However, the literature related to the mathematical analysis of the Heun´s equation is far from complete in comparison with the hypergeometric equation which is known in detail. As a result, studying the reduction methods from Heun to hypergeometric equation is substantial for understanding the physical system better. In this work, Maier´s Heun-to-hypergeometric reduction cases are studied for several physical problems.