TY - JOUR
T1 - Determinant Structure for τ -Function of Holonomic Deformation of Linear Differential Equations
AU - Ishikawa, Masao
AU - Mano, Toshiyuki
AU - Tsuda, Teruhisa
N1 - Funding Information:
Acknowledgements. This work was supported by a grant-in-aid from the Japan Society for the Promotion of Science (Grant Numbers 16K05068, 17K05270, 17K05335, 25800082 and 25870234).
Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - In our previous works, a relationship between Hermite’s two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this paper, we study τ-functions associated with holonomic deformations of linear differential equations by using Hermite’s two approximation problems. As a result, we present a determinant formula for the ratio of τ-functions (τ-quotient).
AB - In our previous works, a relationship between Hermite’s two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this paper, we study τ-functions associated with holonomic deformations of linear differential equations by using Hermite’s two approximation problems. As a result, we present a determinant formula for the ratio of τ-functions (τ-quotient).
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U2 - 10.1007/s00220-018-3256-z
DO - 10.1007/s00220-018-3256-z
M3 - Article
AN - SCOPUS:85053614070
SN - 0010-3616
VL - 363
SP - 1081
EP - 1101
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 3
ER -