# NEW RELATIONS FOR THE DERIVATIVE OF THE CONFLUENT HEUN FUNCTION

@article{Shahnazaryan2012NEWRF, title={NEW RELATIONS FOR THE DERIVATIVE OF THE CONFLUENT HEUN FUNCTION}, author={Vanik Shahnazaryan and T. A. Ishkhanyan and T. A. Shahverdyan and Artur M. Ishkhanyan}, journal={arXiv: Mathematical Physics}, year={2012} }

The cases when the equation for the derivative of the confluent Heun function has only three singularities (in general, the equation has four such points) are examined. It is shown that this occurs only in three specific cases. Further, it is shown that in all these three cases this equation is reduced to some confluent Heun equation with changed parameters. This means that in these cases the derivative of the confluent Heun function is expressed via some other confluent Heun function. The…

## 21 Citations

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