New indefinite integrals of confluent Heun functions

D. Batic, O. Forrest, M. Nowakowski

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageBritish English
Pages (from-to)1001-1017
Number of pages17
JournalIntegral Transforms and Special Functions
Volume29
Issue number12
DOIs
StatePublished - 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

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