Real zeros of Hurwitz-Lerch zeta functions in the interval (−1,0)

For 01. In this paper, we show that Φ(σ,a,z)≠0 when σ∈(−1,0) if and only if [I] z=1 and (3−3)/6≤a≤1/2 or (3+3)/6≤a≤1, [II] z∈[−1,1) and (1−z)(1−a)≤1, [III] z∉R and 0