Abstract
We prove some trigonometric identities involving Chebyshev polynomials of the second kind. The identities were inspired by atomic form factor calculations. Generalizations of these identities, if found, will help to increase the numerical stability of atomic form factor calculations for highly excited states.
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 20-02-00697-a
Funding statement: This work is supported by the Ministry of Education and Science of the Russian Federation and in part by RFBR grant 20-02-00697-a.
Acknowledgements
The authors thank the anonymous referee for constructive remarks.
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