Trigonometric identities inspired by the atomic form factor

Abhijit Sen; Zurab K. Silagadze

doi:10.1515/gmj-2019-2083

Trigonometric identities inspired by the atomic form factor

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	441-446
Число страниц	6
Журнал	Georgian Mathematical Journal
Том	27
Номер выпуска	3
DOI	https://doi.org/10.1515/gmj-2019-2083
Состояние	Опубликовано - 1 сен 2020

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10.1515/gmj-2019-2083

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AB - 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.

KW - mathematical physics

KW - special functions

KW - Trigonometric identities

KW - SYSTEMS

KW - DECAYS

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Trigonometric identities inspired by the atomic form factor

Аннотация

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