Version 1
: Received: 10 October 2024 / Approved: 10 October 2024 / Online: 10 October 2024 (13:08:07 CEST)
How to cite:
Ishkhanyan, A. A New Quadratic Transformation Identity for the Confluent Heun Function. Preprints2024, 2024100825. https://doi.org/10.20944/preprints202410.0825.v1
Ishkhanyan, A. A New Quadratic Transformation Identity for the Confluent Heun Function. Preprints 2024, 2024100825. https://doi.org/10.20944/preprints202410.0825.v1
Ishkhanyan, A. A New Quadratic Transformation Identity for the Confluent Heun Function. Preprints2024, 2024100825. https://doi.org/10.20944/preprints202410.0825.v1
APA Style
Ishkhanyan, A. (2024). A New Quadratic Transformation Identity for the Confluent Heun Function. Preprints. https://doi.org/10.20944/preprints202410.0825.v1
Chicago/Turabian Style
Ishkhanyan, A. 2024 "A New Quadratic Transformation Identity for the Confluent Heun Function" Preprints. https://doi.org/10.20944/preprints202410.0825.v1
Abstract
We present a new quadratic transformation identity for the confluent Heun function. This transformation is independent of the previously discovered quadratic transformation (Heliyon 10, e36535, 2024) and offers additional insights into the properties of this special function. Like the first transformation, this new identity involves two arbitrary parameters and has potential applications in both mathematical and physical contexts, particularly in quantum mechanics.
Keywords
confluent Heun function; quadratic transformation; special functions
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
