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Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).
In calculus, a function series is a series where each of its terms is a function, not just a real or complex number. Examples
The E series is a system of preferred numbers (also called preferred values) derived for use in electronic components. It consists of the E3 , E6 , E12 , E24 , E48 , E96 and E192 series, [ 1 ] where the number after the 'E' designates the quantity of logarithmic value "steps" per decade .
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.
A power series with coefficients in the field of algebraic numbers = =! ¯ [[]]is called an E-function [1] if it satisfies the following three conditions: . It is a solution of a non-zero linear differential equation with polynomial coefficients (this implies that all the coefficients c n belong to the same algebraic number field, K, which has finite degree over the rational numbers);
A power series is a series of the form = (). The Taylor series at a point of a function is a power series that, in many cases, converges to the function in a neighborhood of . For example, the series
There are various types of generating functions, including ordinary generating functions, exponential generating functions, Lambert series, Bell series, and Dirichlet series. Every sequence in principle has a generating function of each type (except that Lambert and Dirichlet series require indices to start at 1 rather than 0), but the ease ...
A Laurent series is a generalization of the Taylor series, allowing terms with negative exponents; it takes the form = and converges in an annulus. [6] In particular, a Laurent series can be used to examine the behavior of a complex function near a singularity by considering the series expansion on an annulus centered at the singularity.