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Mathematical Education, 2022, Issue 1(101), Pages 48–54 (Mi mo798)  

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 $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$.
Document Type: Popular science or education materials
UDC: 517.521
Language: Russian
Citation: E. I. Znak, “Sums of series of the form $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$”, Math. Ed., 2022, no. 1(101), 48–54
Citation in format AMSBIB
\Bibitem{Zna22}
\by E.~I.~Znak
\paper Sums of series of the form $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$
\jour Math. Ed.
\yr 2022
\issue 1(101)
\pages 48--54
\mathnet{http://mi.mathnet.ru/mo798}
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