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See all on WikipediaList of mathematical series - Wikipedia
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, $${\displaystyle 0^{0}}$$ is taken to have the value $${\displaystyle 1}$$$${\displaystyle \{x\}}$$ denotes the fractional part of $${\displaystyle x}$$ See more
Low-order polylogarithms
Finite sums:
• $${\displaystyle \sum _{k=m}^{n}z^{k}={\frac {z^{m}-z^{n+1}}{1-z}}}$$, (geometric series)
• See moreThese numeric series can be found by plugging in numbers from the series listed above.
Alternating … See more1. ^ Weisstein, Eric W. "Haversine". MathWorld. Wolfram Research, Inc. Archived from the original on 2005-03-10. Retrieved 2015-11-06.
2. ^ Wilf, Herbert R. (1994). generatingfunctionology (PDF). Academic Press, Inc. See moreSums of sines and cosines arise in Fourier series.
•
• See more• $${\displaystyle \sum _{n=a+1}^{\infty }{\frac {a}{n^{2}-a^{2}}}={\frac {1}{2}}H_{2a}}$$
• See moreWikipedia text under CC-BY-SA license Series (mathematics) - Wikipedia
In mathematics, a series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures (such as in combinatorics) through generating functions. In addition to their ubiquity in mathematics, infinite series are also widely used in other quantitative discipline…
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 8 mins
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