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This document discusses the summation of series whose summands satisfy linear recurrence relations with polynomial coefficients, demonstrating that such series can be expressed as solutions to linear differential or algebraic equations. The paper includes examples, including a cosine series and problems from the American Mathematical Monthly, illustrating the application of these methods. The author emphasizes the importance of generating functions and provides a framework for solving various types of serie
- Author
- io88ov
- Language
- EN