
ENName:
where n defines the order of the Euler number and the factorial function, and E(0) = 1. Note that Euler numbers are only defined for 0 and positive even integers. The Euler polynomials can be defined in terms of the Euler numbers:
where E(k) is the Euler number of order k. Dataplot computes this function using the EULERB and EULERP routines from "Computation of Special Functions" (see the Reference section below).
where <x> is a number, variable or parameter; <n> is a nonnegagive integer number, variable or parameter; <y> is a variable or a parameter (depending on what <x> and <n> are) where the computed Euler polynomial values are stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
This syntax computes the Euler polynomial of order
where <n> is a nonnegagive integer number, variable or parameter; <y> is a variable or a parameter (depending on what <n> is) where the computed Euler numbers are stored; and where the <SUBSET/EXCEPT/FOR qualification> is optional.
This syntax computes the Euler number of order
LET A = EN(B) LET A = EN(2.5,4) LET Y = EN(X,N)
Date created: 6/5/2001 