Students and teachers of mathematical specialties

Sums of series of the form $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$

E. I. Znak

Mikhailovskaya Artillery Military Academy, Saint Petersburg

Abstract: The article considers the possibility of reducing the sum of a series of the indicated type to elementary functions — both directly and in terms of some approximations. For this it is convenient to use the symmetric meromorphic function of two variables $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$.

UDC: 517.521