79
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Equivalence classes of exponential polynomials with the same set of zeros

&
Pages 225-238 | Received 02 Jun 2014, Accepted 19 Jul 2015, Published online: 18 Aug 2015

References

  • Wilder CE. Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points. Trans. Am. Math. Soc. 1917;18:415–442.
  • Dickson DG. Asymptotic distribution of exponential sums. Publ. Math. Debrecen. 1964;11:295–300.
  • Polya G. Geometiisches über die Verteilung der Nullstellen gewisser ganzer transzendenter Funktionen. Munch. Sitzungsberichte. 1920;50:285–290.
  • Van der Poorten AJ, Tijdeman R. On common zeros of exponential polynomials. Enseignament Math. 1975;21:57–67.
  • Mora G, Cherruault Y, Ziadi A. Functional equations generating space-densifying curves. Comput. Math. Appl. 2000;39:45–55.
  • Mora G. A note on the functional equation F(z) + F(2z) + … + F(nz) = 0. J. Math. Anal. Appl. 2008;340:466–475.
  • Mora G, Sepulcre JM. The zeros of Riemann zeta partial sums yield solutions to f(x) + f(2x) + … + f(nx) = 0. Mediterr. J. Math. 2013;10:1221–1232.
  • Almira JM, Abu-Helaiel KhF. On solutions of f(x) + f(a1x) + … + f(aNx) = 0 and related equations. Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity. 2011;9:3–17.
  • Ash RB. Complex variables. London: Academic Press; 1971.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.