New Zero-Free Regions for Hypergeometric Zeta and Fractional Hypergeometric Zeta Functions

Demessie Ergabus Birmechu, Hunduma Legesse Geleta and Serkan Araci

Journal of Mathematics, 2022, vol. 2022, 1-5

Abstract: We describe and demonstrate zero-free regions for the families called “hypergeometric zeta functions†and “fractional hypergeometric zeta functions†. These zero-free regions are vertical strips in the right half of the complex plane. In the proofs, we utilize positivity results on the oscillatory integrals and monotonicity of real-valued functions to demonstrate these zero-free regions for both families.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2022/4862447.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2022/4862447.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4862447

DOI: 10.1155/2022/4862447

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().