Physical problems admitting Heun-to-hypergeometric reduction
@article{Aydiner2015PhysicalPA, title={Physical problems admitting Heun-to-hypergeometric reduction}, author={Pelin Aydiner and Tolga Birkandan}, journal={2015 Days on Diffraction (DD)}, year={2015}, pages={1-6} }
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…
2 Citations
Heun Functions and Some of Their Applications in Physics
- Physics, MathematicsAdvances in High Energy Physics
- 2018
Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the confluent hypergeometric…
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