Тип публикации: статья из журнала
Год издания: 2023
Идентификатор DOI: 10.1134/s000143462311041x
Ключевые слова: recursiveness, D-finiteness, forward difference operator, generating function, generating series
Аннотация: The notion of a discrete generating function is defined. The definition uses the falling factorial instead of a power function. A functional equation for the discrete generating function of a solution to a linear difference equation with constant coefficients is found. For the discrete generating function of a solution to a linear Показать полностьюdifference equation with polynomial coefficients, the notion of D-finiteness is introduced and an analog of Stanley's theorem is proved; namely, a condition for the D-finiteness of the discrete generating function of a solution to such an equation is obtained.
Журнал: Mathematical Notes
Выпуск журнала: Т.114, №5-6
Номера страниц: 1087-1093
ISSN журнала: 00014346
Место издания: Москва
Издатель: Pleiades Publishing, Ltd. (Плеадес Паблишинг, Лтд)