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.
Original language | British English |
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Pages (from-to) | 1001-1017 |
Number of pages | 17 |
Journal | Integral Transforms and Special Functions |
Volume | 29 |
Issue number | 12 |
DOIs | |
State | Published - 2 Dec 2018 |
Keywords
- 33C05
- 33C55
- 33E05
- 33E99
- 34A99
- 70H03
- biconfluent Heun function
- doubly confluent Heun function
- Heun confluent function
- Special functions
- triconfluent Heun function