Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Transc entire = exp a + exp b + exp c
#1
A transcendental entire function F(z) is always of the form exp a + exp b + exp c.

Where a,b,c are entire.

Assume F - z is of the form z exp d with d entire.
Also F has a hyperbolic fixpoint at 0.
( yes that implies the previous sent )

Does this imply An analytic F^[1/2](z) without algebraic singularities is of the form g('a) + g('b) + g('c) with g = exp^[1/2] and 'a,'b,'c entire ?

Regards

Tommy1729
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  [entire exp^0.5] The half logaritm. tommy1729 1 2,391 05/11/2014, 06:10 PM
Last Post: tommy1729
  entire function close to sexp ?? tommy1729 8 9,209 04/30/2014, 03:49 PM
Last Post: JmsNxn
  Is this entire expression for tetration legal JmsNxn 4 4,551 01/20/2013, 07:32 PM
Last Post: cosurgi



Users browsing this thread: 1 Guest(s)