Message Boards Message Boards

ComplexPlot of generating functions of harmonic type series for ln(k)

Posted 2 years ago

demo

POSTED BY: Shenghui Yang
2 Replies
Posted 2 years ago

I will only add the note that the logarithmic derivatives studied by Shenghui in his post can also be expressed as

$$\frac{((n-1) x-n) x^n+x}{x (x-1) (x^n-1)}$$

Using the $n=5$ case as an example,

With[{n = 5},
     ComplexPlot[(((n - 1) x - n) x^n + x)/(x (x - 1) (x^n - 1)),
                 {x, 1.4}, ColorFunction -> "ShiftedCyclicLogAbs", 
                 ImagePadding -> {{20, 3}, {15, 3}}]]
POSTED BY: J. M.

enter image description here -- you have earned Featured Contributor Badge enter image description here Your exceptional post has been selected for our editorial column Staff Picks http://wolfr.am/StaffPicks and Your Profile is now distinguished by a Featured Contributor Badge and is displayed on the Featured Contributor Board. Thank you!

POSTED BY: Moderation Team
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract