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An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.
Pages in category "Mathematical series" The following 86 pages are in this category, out of 86 total. This list may not reflect recent changes. ...
In mathematics, a series is, roughly speaking, an addition of infinitely many terms, one after the other. [1] 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 in combinatorics through generating functions.
In mathematics, a sequence is a list of objects (or events) which have been ordered in a sequential fashion; such that each member either comes before, or after, every other member. More formally, a sequence is a function with a domain equal to the set of positive integers. A series is a sum of a sequence of terms. That is, a series is a list ...
(see also list of mathematical series) . Arithmetic progression – a sequence of numbers such that the difference between the consecutive terms is constant . Generalized arithmetic progression – a sequence of numbers such that the difference between consecutive terms can be one of several possible constants
List of mathematical series; List of set identities and relations; List of alternative set theories; List of set theory topics; List of types of sets; List of shapes with known packing constant; List of solids derived from the sphere; List of mathematical spaces; List of spherical symmetry groups; List of textbooks in thermodynamics and ...
2.6 Mathematical series. 2.7 Numerical analysis. 3 Applied mathematics. Toggle Applied mathematics subsection. ... This following is a list of lemmas (or, "lemmata", ...
Harmonic series (mathematics) divergence of the (standard) harmonic series; Highly composite number; Area of hyperbolic sector, basis of hyperbolic angle; Infinite series. convergence of the geometric series with first term 1 and ratio 1/2; Integer partition; Irrational number. irrationality of log 2 3; irrationality of the square root of 2 ...