On the Zeros of Tails of Power Series
Iossif Vladimirovich Ostrovskii · Birkhäuser Basel eBooks · 2000
Let 1.1 $$f(z) = \sum\limits_{k = 0}^\infty {a_k z^k }$$ be a power series with a positive radius of convergence. Let $$s_n (z) = \sum\limits_{k = 0}^n {a_k z^k } , t_n (z) = \sum\limits_{k = n + 1}^\infty {a_k z^k }$$ be its nth section and nth tail, respectively.