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arXiv · 1810.05906

New indefinite integrals of confluent Heun functions

Davide Batic·Omar Forrest·Marek Nowakowski
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Abstract

We obtain some new formulae to compute the first derivative of confluent and biconfluent Heun functions under the minimal assumption of fixing only one parameter. These results together with the Lagrangian formulation of a general homogeneous linear ordinary differential equation allow to construct several new indefinite integrals for the confluent, biconfluent, doubly confluent, and triconfluent Heun functions.

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Davide Batic, Omar Forrest, Marek Nowakowski. 2018-10-13. New indefinite integrals of confluent Heun functions. https://doi.org/10.1080/10652469.2018.1531396

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