Kimura, Toshifusa 1929
Overview
Works:  74 works in 115 publications in 4 languages and 432 library holdings 

Roles:  Author, Honoree, Other 
Publication Timeline
.
Most widely held works about
Toshifusa Kimura
 Mathematical contributions of Professor Tosihusa Kimura by Kazuo Okamoto( Book )
Most widely held works by
Toshifusa Kimura
Équations différentielles ordinaires du premier ordre dans le champ complexe by
Masuo Fukuhara(
Book
)
11 editions published in 1961 in 3 languages and held by 164 WorldCat member libraries worldwide
11 editions published in 1961 in 3 languages and held by 164 WorldCat member libraries worldwide
From Gauss to Painlevé : a modern theory of special functions by
Katsunori Iwasaki(
Book
)
5 editions published in 1991 in English and held by 111 WorldCat member libraries worldwide
Preface The Gamma function, the zeta function, the theta function, the hyper geometric function, the Bessel function, the Hermite function and the Airy function ... are instances of what one calls special functions. These have been studied in great detail. Each of them is brought to light at the right epoch according to both mathematicians and physicists. Note that except for the first three, each of these functions is a solution of a linear ordinary differential equation with rational coefficients which has the same name as the functions. For example, the Bessel equation is the simplest nontrivial linear ordinary differential equation with an irreg ular singularity which leads to the theory of asymptotic expansion, and the Bessel function is used to describe the motion of planets (Kepler's equation). Many specialists believe that during the 21st century the Painleve functions will become new members of the community of special func tions. For any case, mathematics and physics nowadays already need these functions. The corresponding differential equations are nonlinear ordinary differential equations found by P. Painleve in 1900 fqr purely mathematical reasons. It was only 70 years later that they were used in physics in order to describe the correlation function of the two dimen sional Ising model. During the last 15 years, more and more people have become interested in these equations, and nice algebraic, geometric and analytic properties were found
5 editions published in 1991 in English and held by 111 WorldCat member libraries worldwide
Preface The Gamma function, the zeta function, the theta function, the hyper geometric function, the Bessel function, the Hermite function and the Airy function ... are instances of what one calls special functions. These have been studied in great detail. Each of them is brought to light at the right epoch according to both mathematicians and physicists. Note that except for the first three, each of these functions is a solution of a linear ordinary differential equation with rational coefficients which has the same name as the functions. For example, the Bessel equation is the simplest nontrivial linear ordinary differential equation with an irreg ular singularity which leads to the theory of asymptotic expansion, and the Bessel function is used to describe the motion of planets (Kepler's equation). Many specialists believe that during the 21st century the Painleve functions will become new members of the community of special func tions. For any case, mathematics and physics nowadays already need these functions. The corresponding differential equations are nonlinear ordinary differential equations found by P. Painleve in 1900 fqr purely mathematical reasons. It was only 70 years later that they were used in physics in order to describe the correlation function of the two dimen sional Ising model. During the last 15 years, more and more people have become interested in these equations, and nice algebraic, geometric and analytic properties were found
Equations différentielles ordinaires du premier ordre dans le champ complexe by
Masuo Fukuhara(
Book
)
1 edition published in 1961 in French and held by 12 WorldCat member libraries worldwide
1 edition published in 1961 in French and held by 12 WorldCat member libraries worldwide
Jōbibun hōteishiki no kaihō by
Toshifusa Kimura(
Book
)
2 editions published in 1958 in Japanese and held by 6 WorldCat member libraries worldwide
2 editions published in 1958 in Japanese and held by 6 WorldCat member libraries worldwide
Tayōtai(
Book
)
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
Daisū tayōtai ron(
Book
)
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
Kakuritsu bibun hōteishiki(
Book
)
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
Seisūron(
Book
)
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
Jōbibun hōteishiki to kaiseki rikigaku(
Book
)
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
Kansūron by
Toshifusa Kimura(
Book
)
2 editions published in 1991 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 1991 in Japanese and held by 4 WorldCat member libraries worldwide
Daisū to sūron no kiso(
Book
)
1 edition published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
Rubēgu sekibun kara kakuritsuron(
Book
)
1 edition published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
Hisenkei henbibun hōteishiki : Kai no zenkin kyodō to jiko sōji kai(
Book
)
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
Kikagakuteki toporojī(
Book
)
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
Shisetsu chō kika kansū : Taishō ryōiki ni yoru ten haichi kūkan no ichiika(
Book
)
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1997 in Japanese and held by 4 WorldCat member libraries worldwide
Toporojī nyūmon(
Book
)
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
Daisū kika nyūmon(
Book
)
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
Heimen kyokusen no kika(
Book
)
1 edition published in 2001 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 2001 in Japanese and held by 4 WorldCat member libraries worldwide
Henbun mondai(
Book
)
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1998 in Japanese and held by 4 WorldCat member libraries worldwide
Rīmanzēta kansū to hokei hadō(
Book
)
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
1 edition published in 1999 in Japanese and held by 4 WorldCat member libraries worldwide
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