Search Results 1-20 of 71

Hori K. , Tobias S. M. , Jones C. A.

… The problem at the first order is found to obey a second-order ordinary differential equation, leading to a hypergeometric equation for a Malkus field and a confluent Heun equation for an electrical wire field, and is non-singular when the wave speed approaches the mean flow. …

Journal of Fluid Mechanics (904), R3, 2020-12-10

IR 

Shiga Hironori

"Algebraic Number Theory and Related Topics 2016". November 28 - December 2, 2016. edited by Yasuo Ohno, Hiroshi Tsunogai and Toshiro Hiranouchi. The papers presented in this volume of RIMS Kôkyûroku …

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (B77), 127-140, 2020-04

IR 

原岡 喜重

… Oshima's middle convolution operation for scalar higher order differential equations is a powerful tool in the study of linear ordinary differential equations in the complex domain. … An application to Appell's hypergeometric function F₄ is given. …

Josai Mathematical Monographs (12), 19-51, 2020-03

IR  DOI 

AOKI Takashi , TAKAHASHI Toshinori , TANDA .Mika

… Asymptotic series of all orders are obtained and their assumptions for parameters are understood by the classification of Stokes geometry of the hypergeometric differential equation. …

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (B75), 123-137, 2019-06

IR 

Nagao Hidehito , Yamada Yasuhiko

… We give a simple form of the evolution equation and a scalar Lax pair for the <i>q</i>-Garnier system. … problems on differential grid and <i>q</i>-grid, we derive some special solutions of the <i>q</i>-Garnier system in terms of the <i>q</i>-Appell Lauricella function and the generalized <i>q</i>-hypergeometric function. …

Funkcialaj Ekvacioj 61(1), 109-133, 2018

J-STAGE 

Aoki Takashi , Takahashi Toshinori , Tanda Mika

"Microlocal Analysis and Singular Perturbation Theory". October 5～9, 2015. edited by Yoshitsugu Takei, Takashi Aoki, Naofitmi Honda, Kiyoomi Kataoka and Tatsuya Koike. The papers presented in this vol …

数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu (B61), 1-7, 2017-01

IR 

Bajnok Zoltán , Balog János , Ito Katsushi , Satoh Yuji , Tóth Gábor Zsolt , 佐藤 勇二

… In particular, we find a differential equation for the relation by constructing conserved tensor currents, which satisfy a generalization of the Θ sum rule Ward identity. … The mass-coupling relation is written in terms of hypergeometric functions. …

Physical Review Letters 116(18), 2016-05-06

IR 

Aoki Takashi , Tanda Mika

… <p>Stokes phenomena with respect to parameters are investigated for the Gauss hypergeometric differential equation with a large parameter. … For this purpose, the notion of the Voros coefficient is introduced for the equation. …

Journal of the Mathematical Society of Japan 68(3), 1099-1132, 2016

J-STAGE 

GOTO Yoshiaki

… We consider the generalized hypergeometric function <i>_m</i>₊₁<i>F</i><i>_m</i>and the differential equation <i>_m</i>₊₁<i>E</i><i>_m</i>that it satisfies. …

Kyushu Journal of Mathematics 69(1), 203-217, 2015

J-STAGE 

Aoki Takashi , Takahashi Toshinori , Tanda Mika

… "Exponential Analysis of Differential Equations and Related Topics". …

RIMS Kokyuroku Bessatsu (B52), 165-174, 2014-11

IR