Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
tommy beta method
#1
Consider the following (double) integral where h is a positive infinitesimal



This integral is intended as an analogue for erf(s) but which is suppose to go - C for Re(s) << -1 and + C for Re(s) >> 1 ( independant of the imaginary part ! ).

Where C is a (probably nonzero and positive ) real constant.

Assuming that indeed 0 < C we continue :
 


Now consider 



And finally we get lim n to +oo ;



I call it tommy beta method , hence "tb"

This ofcourse requires more research.

regards

tommy1729

Tom Marcel Raes
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
  Holomorphic semi operators, using the beta method JmsNxn 44 2,254 Yesterday, 12:14 PM
Last Post: tommy1729
  Tommy's Gaussian method. tommy1729 27 7,552 05/14/2022, 12:25 PM
Last Post: tommy1729
  The beta method thesis JmsNxn 9 858 04/20/2022, 05:32 AM
Last Post: Ember Edison
  Trying to get Kneser from beta; the modular argument JmsNxn 2 323 03/29/2022, 06:34 AM
Last Post: JmsNxn
  Calculating the residues of \(\beta\); Laurent series; and Mittag-Leffler JmsNxn 0 509 10/29/2021, 11:44 PM
Last Post: JmsNxn
  The Generalized Gaussian Method (GGM) tommy1729 2 1,040 10/28/2021, 12:07 PM
Last Post: tommy1729
  Arguments for the beta method not being Kneser's method JmsNxn 54 13,440 10/23/2021, 03:13 AM
Last Post: sheldonison
  tommy's singularity theorem and connection to kneser and gaussian method tommy1729 2 990 09/20/2021, 04:29 AM
Last Post: JmsNxn
  " tommy quaternion " tommy1729 14 6,901 09/16/2021, 11:34 PM
Last Post: tommy1729
  Why the beta-method is non-zero in the upper half plane JmsNxn 0 644 09/01/2021, 01:57 AM
Last Post: JmsNxn



Users browsing this thread: 1 Guest(s)