Inner bounds for the extreme zeros of 3F2 hypergeometric polynomials

The first author would like to thank Alexander von Humboldt Foundation and TWAS for rewarding an AGNES Grant for Junior Researchers 2014, as well as TWAS and DFG for sponsoring a research visit at the Institute of Mathematics of the University of Kassel in 2016 (reference KO 1122/12-1). The second author would like to thank TWAS and DFG for sponsoring a research visit at the Institute of Mathematics of the University of Kassel in 2015 (reference 3240278140).