New indefinite integrals of confluent Heun functions

DOI10.1080/10652469.2018.1531396zbMath1402.33016arXiv1810.05906OpenAlexW3101647398MaRDI QIDQ4559332

Davide Batic, Marek Nowakowski, O. Forrest

Publication date: 3 December 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05906

zbMATH Keywords

special functionsbiconfluent Heun functionHeun confluent functiondoubly confluent Heun functiontriconfluent Heun function

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Lagrange's equations (70H03)

Cites Work

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• About derivatives of Heun's functions from polynomial transformations of hypergeometric equations
• Novel relations and new properties of confluent Heun's functions and their derivatives of arbitrary order
• New indefinite integrals of Heun functions
• Quadratic series involving the tail of ζ(k)

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