Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Shun Shimomura"'
Autor:
Shun SHIMOMURA
Publikováno v:
Publications of the Research Institute for Mathematical Sciences; 2024, Vol. 60 Issue 4, p651-698, 48p
Autor:
Shun Shimomura
Publikováno v:
Computational Methods and Function Theory. 21:633-651
We propose a system of non-linear equations equivalent to the fifth Painleve equation, which enables us to examine the general singular solution given by Andreev and Kitaev along the positive real axis. We present a two-parameter family of asymptotic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bab6771da193ed95f21bb8d3cc33001
https://doi.org/10.1007/s40315-021-00391-8
https://doi.org/10.1007/s40315-021-00391-8
Autor:
Shun SHIMOMURA
For the fifth Painlevé transcendents an asymptotic representation by the Jacobi $\mathrm{sn}$-function is presented in cheese-like strips along generic directions near the point at infinity. Its elliptic main part depends on a single integration con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d7ff85d16adc6da02d2ab905f3b2eae
Autor:
Shun Shimomura
Publikováno v:
Kyushu Journal of Mathematics. 71:139-185
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e825db8728b6a7b1dfddffe1f6e224d
https://doi.org/10.2206/kyushujm.71.139
https://doi.org/10.2206/kyushujm.71.139
Autor:
Shun Shimomura
For the Schlesinger-type equation related to the fifth Painlev\'e equation (V) via isomonodromy deformation, we present a three-parameter family of matrix solutions along the imaginary axis near the point at infinity, and also the corresponding monod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dff357c6b3428f4261d180bc8749371a
Autor:
Shun Shimomura
Publikováno v:
Funkcialaj Ekvacioj. 58:277-319
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3488a8335c0324b1873fdfcce24d281f
https://doi.org/10.1619/fesi.58.277
https://doi.org/10.1619/fesi.58.277
Autor:
Shun Shimomura
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 51:417-463
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::abeee33546852c8c28d8146ef2bb84ed
https://doi.org/10.4171/prims/160
https://doi.org/10.4171/prims/160
Autor:
Shun Shimomura
Publikováno v:
Tokyo J. of Math. 39, no. 3 (2017), 797-825
For the fifth Painlevé equation near the origin we present two kinds of logarithmic solutions, which are represented, respectively, by convergent series with multipliers admitting asymptotic expansions in descending logarithmic powers and by those w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ddd6a9a0767d9243475cc4a40cb4096
http://projecteuclid.org/euclid.tjm/1475723087
http://projecteuclid.org/euclid.tjm/1475723087
Publikováno v:
Journal of Mathematical Sciences. 180:650-671
In this paper, we discuss the algebraic independence and algebraic relations, first, for reciprocal sums of even terms in Fibonacci numbers \( \sum\limits_{n = 1}^\infty {F_{2n}^{ - 2s}} \), and second, for sums of evenly even and unevenly even types
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9644ea0388d3bb3f2ce38c46fccf8de3
https://doi.org/10.1007/s10958-012-0663-0
https://doi.org/10.1007/s10958-012-0663-0
Autor:
Shun Shimomura
Publikováno v:
Funkcialaj Ekvacioj. 54:451-471
The fifth Painleve equation admits several families of solutions behaving exponentially in their proper sectors near infinity, which are called truncated solutions. For these truncated solutions, we discuss the frequency of a-points including poles o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::600205df16ffc8b9b221716eb97c1009
https://doi.org/10.1619/fesi.54.451
https://doi.org/10.1619/fesi.54.451