Том 69
№ 9

Всі номери

Брайчев Г. Г.

Публікацій: 1
Стаття (українською)

Вычисление индикатора целой функции дробного порядка по ее коэффициентам Тейлора

Брайчев Г. Г.

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Укр. мат. журн. - 1993. - 45, № 6. - С. 854–858

By employing both Poujois theorem on relation between the growth of an entire exponential function and the location of its Borel transform singularities and the analogue of this resuit for entire functions of finite order, which was obtained by Macintyre, the estimates and, in some cases, the exact expressions for the indicator of increase of an entire function are obtained by using its Taylor expansion coefficients.