On the Order of Growth of the Solutions of Linear Differential Equations in the Vicinity of a Branching Point

• Дата: 2015
• Автори: Mokhonko, A. Z., Mokhonko, A. A., Мохонько, А. З., Мохонько, А. А.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1969
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Assume that the coefficients and solutions of the equation $f^{(n)}+p_{n−1}(z)f^{(n−1)} +...+ p_{s+1}(z)f^{(s+1)} +...+ p_0(z)f = 0$ have a branching point at infinity (e.g., a logarithmic singularity) and that the coefficients $p_j , j = s+1, . . . ,n−1$, increase slower (in terms of the Nevanlinna...