|
|
|
|
Volume 9, Issue 4, Article 91 |
|
|
|
|
|
|
Turán Inequalities and Subtraction-free Expressions
|
|
|
Authors: |
David A. Cardon, Adam Rich, |
|
|
|
Keywords:
|
Turán inequalities, Subtraction-free expressions, Riemann zeta function, Zero-free region. |
|
|
|
Date Received:
|
01/01/2008 |
|
|
|
Date Accepted:
|
29/06/2008 |
|
|
|
Subject Codes: |
11M26, 30C15, 26D10.
|
|
|
|
Editors: |
Qazi Ibadur Rahman, |
|
|
|
|
|
|
|
|
|
Abstract: |
By using subtraction-free expressions, we are able to provide a new proof of the Turán inequalities for the Taylor coefficients of a real entire function when the zeros belong to a specified sector.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|