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Asymptotic analysis of the confluent Dotsenko-Fateev system
Shunya Adachi
The Dotsenko-Fateev equation is a third-order linear ordinary differential equation studied in two-dimensional conformal field theory. We study the confluent Dotsenko-Fateev system…
Middle Laplace transform and middle convolution for linear Pfaffian systems with irregular singularities
Shunya Adachi
We introduce a transformation of linear Pfaffian systems, which we call the middle Laplace transform, as a formulation of the Laplace transform from the perspective of Katz theory.…
Unitary monodromies of rank two Fuchsian systems with singularities
Shunya Adachi
We study the unitarity of monodromies of rank two Fuchsian systems of SL type with regular singularities on the Riemann sphere, namely, we give a sufficient and necessary c…
On a Connection Problem for the Generalized Hypergeometric Equation
Shunya Adachi
We study a connection problem between the fundamental systems of solutions at singular points and for the generalized hypergeometric equation which is satisfied by the gene…
The -Borel Sum of Divergent Basic Hypergeometric Series
Shunya Adachi
We study the divergent basic hypergeometric series which is a -analog of divergent hypergeometric series. This series formally satisfies the linear -difference equation. In t…