TY - CHAP

T1 - Real solutions of PIII(0, 0, 4, −4) on ℝ> 0

AU - Guest, Martin

AU - Hertling, Claus

PY - 2017

Y1 - 2017

N2 - The real solutions (possibly with zeros and/or poles) of PIII(0, 0, 4, −4) on ℝ> 0 are by (15.10) the functions fmult(.,s,B)|ℝ>0 for (s, B) ∈ Vmat,ℝ. In this chapter we shall obtain complete results about the sequences of zeros and/or poles of these solutions. These global results will be derived by combining, first, the local behaviour for small x and for large x, and second, the geometry of the spaces M3FN,ℝ mon and M3FN,ℝ ini=M3FN,ℝ reg∪M3FN,ℝ sing, which was described in Lemma 15.4 (a) and Theorem 15.5 (a).

AB - The real solutions (possibly with zeros and/or poles) of PIII(0, 0, 4, −4) on ℝ> 0 are by (15.10) the functions fmult(.,s,B)|ℝ>0 for (s, B) ∈ Vmat,ℝ. In this chapter we shall obtain complete results about the sequences of zeros and/or poles of these solutions. These global results will be derived by combining, first, the local behaviour for small x and for large x, and second, the geometry of the spaces M3FN,ℝ mon and M3FN,ℝ ini=M3FN,ℝ reg∪M3FN,ℝ sing, which was described in Lemma 15.4 (a) and Theorem 15.5 (a).

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U2 - 10.1007/978-3-319-66526-9_18

DO - 10.1007/978-3-319-66526-9_18

M3 - Chapter

AN - SCOPUS:85032028923

VL - 2198

T3 - Lecture Notes in Mathematics

SP - 181

EP - 196

BT - Lecture Notes in Mathematics

PB - Springer Verlag

ER -