TY - JOUR
T1 - Confluent A-Hypergeometric functions and rapid decay homology cycles
AU - Esterov, Alexander
AU - Takeuchi, Kiyoshi
N1 - Publisher Copyright:
© 2015 Johns Hopkins University Press. All rights reserved.
PY - 2015
Y1 - 2015
N2 - We study confluent A-hypergeometric functions introduced by Adolphson. In particular, we give their integral representations by using rapid decay homology cycles of Hien. The method of toric compactifications introduced in our previous works will be used to prove our main theorem. Moreover we apply it to obtain a formula for the asymptotic expansions at infinity of confluent Ahypergeometric functions.
AB - We study confluent A-hypergeometric functions introduced by Adolphson. In particular, we give their integral representations by using rapid decay homology cycles of Hien. The method of toric compactifications introduced in our previous works will be used to prove our main theorem. Moreover we apply it to obtain a formula for the asymptotic expansions at infinity of confluent Ahypergeometric functions.
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U2 - 10.1353/ajm.2015.0014
DO - 10.1353/ajm.2015.0014
M3 - Article
AN - SCOPUS:84927642693
VL - 137
SP - 365
EP - 409
JO - American Journal of Mathematics
JF - American Journal of Mathematics
SN - 0002-9327
IS - 2
ER -