104 citations · 191 across the 21 of their papers we have counts for
23 papers
Arithmetic Constraints on Hypergeometric Identities
Katsunori Iwasaki, Mina Kusakabe
The standard literature on special functions contains a lot of hypergeometric identities involving products and quotients of gamma functions, but still the occurrence of such ident…
Equivariant Linearization and Rotation Domains on K3 Surfaces
Katsunori Iwasaki
We construct a lot of K3 surface automorphisms of positive entropy having rotation domains of ranks 1 and 2. To carry out this construction, we first lay theoretical foundations co…
K3 Surfaces, Picard Numbers and Siegel Disks
Katsunori Iwasaki, Yuta Takada
If a K3 surface admits an automorphism with a Siegel disk, then its Picard number is an even integer between and . Conversely, using the method of hypergeometric groups, we…
Hypergeometric Groups and Dynamics on K3 Surfaces
Katsunori Iwasaki, Yuta Takada
A hypergeometric group is a matrix group modeled on the monodromy group of a generalized hypergeometric differential equation. This article presents a fruitful interaction between…
Discrete Laplace Method and Truncation Error of Gauss Continued Fraction
Katsunori Iwasaki
The leading asymptotics of the truncation error for Gauss's continued fraction is determined exactly. Not only for this purpose but also for wider applicability elsewhere the discr…
Contiguous Relations, Laplace's Methods and Continued Fractions for 3F2(1)
Akihito Ebisu, Katsunori Iwasaki
Using contiguous relations we construct an infinite number of continued fraction expansions for ratios of generalized hypergeometric series 3F2(1). We establish exact error term es…