Yoshida, Masaaki 1948
Overview
Works:  22 works in 68 publications in 3 languages and 1,016 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA351, 515.353 
Publication Timeline
.
Most widely held works by
Masaaki Yoshida
Arithmetic and geometry around hypergeometric functions : lecture notes of a CIMPA Summer School held at Galatasaray University,
Istanbul, 2005 by
RolfPeter Holzapfel(
Book
)
18 editions published in 2007 in English and held by 167 WorldCat member libraries worldwide
This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics are moduli spaces of points on P1 and PicardTeradaDeligneMostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur's hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers
18 editions published in 2007 in English and held by 167 WorldCat member libraries worldwide
This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics are moduli spaces of points on P1 and PicardTeradaDeligneMostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur's hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers
Fuchsian differential equations : with special emphasis on the GaussSchwarz theory by
Masaaki Yoshida(
Book
)
10 editions published in 1987 in English and German and held by 163 WorldCat member libraries worldwide
10 editions published in 1987 in English and German and held by 163 WorldCat member libraries worldwide
Hypergeometric functions, my love : modular interpretations of configuration spaces by
Masaaki Yoshida(
Book
)
2 editions published in 1997 in English and held by 114 WorldCat member libraries worldwide
There are various interesting stories about the hypergeometric differential equation E(a, b, c) : x(l  x)u" + {c  (a + b + l)x }u'  abu = D and its solution, the hypergeometric function. Among others, I love the following story: when (a, b, c) = (1/2,1/2,1), the ratio Ul(X) : uz(x) of linearly independent solutions defines a multivalued map D}, its monodromy group is f(2) = {g E SL(2, Z) 1 g == 12 mod 2}, the map
2 editions published in 1997 in English and held by 114 WorldCat member libraries worldwide
There are various interesting stories about the hypergeometric differential equation E(a, b, c) : x(l  x)u" + {c  (a + b + l)x }u'  abu = D and its solution, the hypergeometric function. Among others, I love the following story: when (a, b, c) = (1/2,1/2,1), the ratio Ul(X) : uz(x) of linearly independent solutions defines a multivalued map D}, its monodromy group is f(2) = {g E SL(2, Z) 1 g == 12 mod 2}, the map
Shisetsu chō kika kansū : Taishō ryōiki ni yoru ten haichi kūkan no ichiika(
Book
)
3 editions published in 1997 in Japanese and held by 6 WorldCat member libraries worldwide
3 editions published in 1997 in Japanese and held by 6 WorldCat member libraries worldwide
Intersection numbers of twisted cycles and the correration [sic] functions of the conformal field theory by
Katsuhisa Mimachi(
Book
)
3 editions published in 2002 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 2002 in English and held by 5 WorldCat member libraries worldwide
Invariant theory for linear differential systems modeled after the Grassmannian Gr(n,2n) by
Takeshi Sasaki(
Book
)
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
On the convergence of an infinite product by
Masaaki Yoshida(
Book
)
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
Intersection numbers for loaded cycles associated with Selbergtype integrals by
Katsuhisa Mimachi(
Book
)
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
A naivetopological study of the contiguity relations of the hypergeometric functions by
Masaaki Yoshida(
Book
)
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
A geometric study of the hypergeometric function with imaginary exponents by
Takeshi Sasaki(
Book
)
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
Polynomials associated with the hypergeometric functions with finite monodromy groups by
Hiroyuki Ochiai(
Book
)
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
Schwarzian derivatives and uniformization by
Takeshi Sasaki(
Book
)
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
Invariants for some real hyperbolic groups by
Keiji Matsumoto(
Book
)
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
On Schottky groups arising from the hypergeometric equation with imaginary exponents by
T Ichikawa(
Book
)
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide
Intersection theory for loaded cycles IV : resonant cases by
Katsuhisa Mimachi(
Book
)
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide
The kappa function by
Masanobu Kaneko(
Book
)
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
The uniformizing differential equation of the complex hyperbolic structure on the moduli space of marked cubic surface II by
Takeshi Sasaki(
Book
)
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 3 WorldCat member libraries worldwide
Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory by
Katsuhisa Mimachi(
Book
)
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide
Eitī gokanki ākitekucha handobukku(
Book
)
2 editions published in 1995 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 1995 in Japanese and held by 2 WorldCat member libraries worldwide
From Gauss to Painlevé : a modern theory of special functions by
Katsunori Iwasaki(
)
1 edition published in 1991 in English and held by 0 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
1 edition published in 1991 in English and held by 0 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
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Related Identities
 Uludağ, A. Muhammed Editor
 Holzapfel, RolfPeter 1942 Author Editor
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 Holzapfel, RolfPeter (1942 ...). Editor
 CIMPA Summer school 2005 : Université de Galatasaray, Istanbul, Turquie)
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 Sasaki, Takeshi 1944 Author