English

Newton diagram of positivity for ${}_1F_2$ generalized hypergeometric functions

Classical Analysis and ODEs 2018-05-31 v1

Abstract

As for the positivity of 1F2{}_1F_2 generalized hypergeometric functions, we present a list of necessary and sufficient conditions in terms of parameters and determine the region of positivity by certain Newton diagram.

Keywords

Cite

@article{arxiv.1801.02312,
  title  = {Newton diagram of positivity for ${}_1F_2$ generalized hypergeometric functions},
  author = {Yong-Kum Cho and Hera Yun},
  journal= {arXiv preprint arXiv:1801.02312},
  year   = {2018}
}

Comments

19 pages, 3 figures