Hiroshi Haruki | Academic Influence

Hiroshi Haruki's AcademicInfluence.com Rankings

Hiroshi Haruki

Mathematics

#2792

World Rank

#4235

Historical Rank

Differential Geometry

#82

World Rank

#97

Historical Rank

Geometry

#71

World Rank

#121

Historical Rank

Number Theory

#531

World Rank

#655

Historical Rank

mathematics Degrees

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Mathematics

Hiroshi Haruki's Degrees

PhD Mathematics University of Tokyo
Masters Mathematics University of Tokyo
Bachelors Mathematics University of Tokyo

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Why Is Hiroshi Haruki Influential?

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According to Wikipedia, Hiroshi Haruki was a Japanese mathematician. A world-renowned expert in functional equations, he is best known for discovering Haruki's theorem and Haruki's lemma in plane geometry. Some of his published work, such as: "On a Characteristic Property of Confocal Conic Sections" is available on Project Euclid.

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Hiroshi Haruki's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

General and regular solutions of functional equations characterizing harmonic polynomials (1968) (53)
A New Characteristic of Möbius Transformations by Use of Apollonius Points of Triangles (1996) (38)
A new characteristic of Mobius transformations by use of Apollonius quadrilaterals (1998) (35)
A new characterization of Möbius transformations by use of Apollonius hexagons (2000) (28)
A New Invariant Characteristic Property of Möbius Transformations from the Standpoint of Conformal Mapping (1994) (22)
New Characterizations of Some Mean-Values (1996) (18)
A new functional equation of Pexider type related to the complex exponential function (1995) (14)
On the Functional Equationf(x+t,y)+f(x−t,y)=f(x,y+t)+f(x, y−t) (1970) (11)
A new analogue of Gauss' functional equation (1995) (10)
On a ‘cube functional equation’ (1969) (8)
New generalizations of Jensen’s functional equation (1995) (7)
New Integral Representations for Bernoulli and Euler Polynomials (1993) (7)
On a Relation between the “Square” Functional Equation And The “Square” Mean-Value Property (1971) (7)
On a functional equation of Pexider type (1988) (6)
On an Integral Mean‐Value Theorem in Analytic Function Theory (1968) (6)
NEW GENERALIZATIONS OF THE POISSON KERNEL (1997) (6)
A new functional equation characterizing generalized Joukowski transformations (1987) (6)
A functional equation arising from the Joukowski transformation (1985) (4)
On two new functional equations for generalized Joukowski transformations (1991) (4)
On the equivalence of Hille's and Robinson's functional equations (1973) (3)
An Inequality for Elliptic and Hyperbolic Segments (1973) (3)
A new characterization of Euler's gamma function by a functional equation (1986) (3)
On the functional equations $vert f(x+iy)vert =vert f(x)+f(iy)vert $ and $vert f(x+iy)vert =vert f(x)-f(iy)vert $ and on Ivory's theorem (1966) (2)
A new Pythagorean functional equation (1990) (2)
An application of Nevanlinna-pólya theorem to a cosine functional equation (1970) (2)
Euler's Integrals (1983) (2)
On inequalities generalizing a Pythagorean functional equation and Jensen’s functional equation (1968) (2)
On an application of the ‘square’ functional equation to a geometric characterization of quadratic functions from the standpoint of conformal-mapping properties (1970) (2)
On a certain family of meromorphic functions (1964) (2)
Histopathological Studies on Periodontal Tissue Changes following Auto-tooth Transplantation (2002) (1)
A NEW QUADRATIC EQUATION (1991) (1)
On a functional equation for the exponential function of a complex variable (1971) (1)
On parallelogram functional equations (1968) (1)
Another proof of Kaczmarz's theorem. (1962) (1)
NO 2 − Uptake by a NO 2 − Transporter of Chloroplast Envelope (1998) (1)
On a Characteristic Property of Confocal Conic Sections (1963) (1)
On Inequalities Generalizing a Functional Equation Connected with Ivory's Theorem (1968) (1)
On a metrical theorem in geometry of circles (1972) (1)
On a functional equation for Jacobi's elliptic function cn(z; k) (1984) (1)
General and regular solutions of functional equations characterizing jarmonic polynomials (1968) (1)
On the principle of circle-transformation of a linear rational function in analytic function theory (1969) (1)
A NEW COSINE FUNCTIONAL EQUATION (1991) (1)
On the Functional Equations f(x+iy)| = |f(x)+f(iy)| and |f(x+iy)| = |f(x)-f(iy)| and on Ivory's Theorem (1966) (1)
H_ GRADIENT DEPENDENT INFLUX OF NO^-_2 ACROSS CHLOROPLAST ENVELOPE (1998) (0)
On entire functions which transform straight lines into parabolas (1975) (0)
NEW GENERALIZATIONS OF THE POISSON KERNEL HIROSHI HARUKI (0)
A proof of Euler's identity by a functional equation (1985) (0)
eHfhg iFj_kcl0m0n0ocj_p l0i (2006) (0)
A Functional Equation Arising from Ivory's Theorem in Geometry (1975) (0)
On the functional inequality $|f(\frac{x+y}{2})|\leqq\frac{|f(x)|+|f(y)|}{2}$ (1964) (0)
Two Theorems on the Univalent Function (1943) (0)
On some functional equations,1. (1964) (0)
On Two Functional Equations for the Trigonometric Functions (1969) (0)
On a Characteristic Property of a Polynomial as a Continuous Mapping from the z-Plane into the w-Plane (1969) (0)
On an application of the ‘square’ functional equation to a geometric characterization of quadratic functions from the standpoint of conformal-mapping properties (1970) (0)
A Remark on the Nevanlinna-Pólya Theorem in Analytic Function Theory (1996) (0)
On Characterisation of the Elemental Functions (1943) (0)
On a Laplace Integral (1970) (0)
A characteristic property of orthogonal pencils of coaxal circles from the standpoint of conformal mapping (1975) (0)
A new characterization of euler's gamma function by a functional equation (1986) (0)
On a generalization of Hille's functional equation (1979) (0)
On a ‘cube functional equation’ (1969) (0)
On a Functional Equation (1971) (0)
On a Certain Simultaneous Functional Equation Concerning the Elliptic Functions (1942) (0)
An improvement of the Nevanlinna-Pólya theorem (1984) (0)
An equivalent property to Ivory's theorem from the standpoint of conformal mapping (1977) (0)
On a conformal-mapping property (1984) (0)
A generalization of Hille's and Robinson's functional equations (1981) (0)
On a generalization of Hilleas functional equation (1979) (0)
On a Well-Known Improper Integral (1967) (0)
On a theorem of inversive geometry (1980) (0)

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What Schools Are Affiliated With Hiroshi Haruki?

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