MHB What is the name for the function in a series?

  • Thread starter Thread starter Marksl
  • Start date Start date
  • Tags Tags
    Function Series
Click For Summary
In a series, the function being summed is referred to as the addend or summand. The term "argument of the series" is not commonly used for this purpose. The notation \(\sum_{z=0}^{\infty}f(z)\) indicates that \(f(z)\) is the function whose values are being added. Clarifying terminology is important for understanding series in mathematics. Properly identifying \(f(z)\) enhances communication about series functions.
Marksl
Messages
1
Reaction score
0
I am having trouble describing the function that I am taking sum of in a series. Like in the example \begin{equation} \sum_{z=0}^{\infty}f(z)\end{equation}: What would I call $f(z)$? Would it be the argument of the series?
 
Mathematics news on Phys.org
You could call it the addend (also called a summand).
 

Similar threads

A Expansion with respect to ##z_1##
  • · Replies 1 ·
Replies
1
Views
1K
A Can You Prove the Series Is Periodic?
  • · Replies 33 ·
2
Replies
33
Views
3K
B Can We Simplify the Taylor Series Expansion for e^(f(x,y))?
  • · Replies 3 ·
Replies
3
Views
2K
I Is there a name for this sort of differential equation?
  • · Replies 2 ·
Replies
2
Views
1K
B Periodic smooth alternating series other than sin and cos
  • · Replies 16 ·
Replies
16
Views
3K
B How does the Riemann Hypothesis/Riemann Zeta function even work?
  • · Replies 17 ·
Replies
17
Views
1K
I Alternating Harmonic Numbers are cool, spread the word!
  • · Replies 4 ·
Replies
4
Views
3K
I Infinite Series of Infinite Series
  • · Replies 7 ·
Replies
7
Views
2K
I About convergence of complex power series on the circle ##|z - z_0|=r##
  • · Replies 22 ·
Replies
22
Views
3K
I A thought about the Riemann hypothesis
  • · Replies 7 ·
Replies
7
Views
2K