Edit Profile (opens in new tab) Haruki, Hiroshi Co-Author Distance Author ID: haruki.hiroshi Published as: Haruki, Hiroshi; Haruki, H. External Links: Wikidata · GND Documents Indexed: 86 Publications since 1942 1 Further Contribution Reviewing Activity: 99 Reviews Co-Authors: 6 Co-Authors with 16 Joint Publications 276 Co-Co-Authors all top 5 Co-Authors 70 single-authored 12 Rassias, Themistocles Michael 2 Aczél, János Dezső 1 Butzer, Paul Leo 1 Erdélyi, Arthur 1 Golomb, Michael 1 Haruki, Shigeru 1 Helson, Henry 1 Hewitt, Edwin 1 Hille, Einar 1 Hochstadt, Harry 1 Kallman, Robert R. 1 Lorch, Edgar Raymond 1 McKiernan, Michel A. 1 Phillips, Ralph Saul 1 Rickart, Charles E. 1 Rota, Gian-Carlo 1 Sakovich, G. N. 1 Sucheston, Louis 1 Taam, Choy-Tak 1 Tandori, Károly 1 Widder, David Vernon 1 Yosida, Kosaku 1 Zaanen, Adriaan Cornelis all top 5 Serials 10 Aequationes Mathematicae 8 Annales Polonici Mathematici 5 American Mathematical Monthly 5 Journal of Mathematical Analysis and Applications 4 Canadian Mathematical Bulletin 4 Science Reports 3 Mathematicae Notae 3 Portugaliae Mathematica 3 Proceedings of the American Mathematical Society 3 Proceedings of the Physico-Mathematical Society of Japan 2 Mathematics Magazine 2 Bulletin of the Calcutta Mathematical Society 2 Colloquium Mathematicum 2 The Mathematics Student 2 Publicationes Mathematicae Debrecen 2 L’Enseignement Mathématique. 2e Série 2 Proceedings of the Japan Academy 2 Publications de la Faculté d’Électrotechnique de l’Université à Belgrade. Série Mathématiques et Physique 2 Nordisk Matematisk Tidskrift 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Journal of Applied Mathematics and Stochastic Analysis 1 Glasnik Matematički. Serija III 1 Gazeta Matematică. Seria Pentru Informare Științifică și Perfecționare Metodică 1 Journal of the Australian Mathematical Society 1 Journal of the London Mathematical Society 1 Buletinul Institutului Politehnic din Iași, New Series 1 Mathematicians of Our Time all top 5 Fields 39 Functions of a complex variable (30-XX) 34 Difference and functional equations (39-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 4 Geometry (51-XX) 2 Ordinary differential equations (34-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 184 times in 104 Documents Cited by ▼ Year ▼ General and regular solutions of functional equations characterizing harmonic polynomials. Zbl 0157.46102Aczél, János; Haruki, H.; McKiernan, M. A.; Sakovich, G. N. 31 1968 A new characteristic of Möbius transformations by use of Apollonius quadrilaterals. Zbl 0902.30006Haruki, Hiroshi; Rassias, Themistocles M. 18 1998 A new characteristic of Möbius transformations by use of Apollonius points of triangles. Zbl 0857.39012Haruki, Hiroshi; Rassias, Themistocles M. 15 1996 A new characterization of Möbius transformations by use of Apollonius hexagons. Zbl 0943.30007Haruki, Hiroshi; Rassias, Themistocles M. 13 2000 New characterizations of some mean-values. Zbl 0878.39005Haruki, Hiroshi; Rassias, Themistocles M. 9 1996 On the functional equation \(f(x+t,y) + f(x-t,y) = f(x,y+t) + f(x,y-t)\). Zbl 0207.45802Haruki, H. 9 1970 New characterizations of the arithmetic-geometric mean of Gauss and other well-known mean values. Zbl 0746.39004Haruki, Hiroshi 8 1991 A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping. Zbl 0796.39008Haruki, Hiroshi; Rassias, Themistocles M. 8 1994 Studies on certain functional equations from the standpoint of analytic function theory. Zbl 0139.09703Haruki, H. 7 1965 On a ’cube functional equation’. Zbl 0179.21203Haruki, H. 7 1969 A proof of the principle of circle-transformation by the use of a theorem on univalent functions. Zbl 0241.30017Haruki, Hiroshi 7 1972 New integral representations for Bernoulli and Euler polynomials. Zbl 0776.11009Haruki, Hiroshi; Rassias, Themistocles M. 5 1993 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002Hille, Einar 5 1975 A new analogue of Gauss’ functional equation. Zbl 0855.39019Haruki, Hiroshi; Rassias, Themistocles M. 5 1995 A new functional equation of Pexider type related to the complex exponential function. Zbl 0855.39020Haruki, Hiroshi; Rassias, Themistocles M. 4 1995 An integral inequality in analytic function theory. Zbl 0268.30001Haruki, Hiroshi 3 1973 On a functional equation of Pexider type. Zbl 0656.39004Haruki, Hiroshi 3 1988 A functional equation arising from the Joukowski transformation. Zbl 0577.30037Haruki, Hiroshi 3 1985 On the functional equations \(|f(x+iy)| = |f(x)+f(iy)|\) and \(|f(x+iy)| = |f(x)-f(iy)|\) and on Ivory’s theorem. Zbl 0143.16902Haruki, H. 2 1966 On certain functional equations connected with two invariant properties under mapping from the z-plane into the w-plane. Zbl 0149.10804Haruki, H. 2 1967 On an integral mean-value theorem in analytic function theory. Zbl 0157.12802Haruki, H. 2 1968 New generalizations of Jensen’s functional equation. Zbl 0965.39020Haruki, Hiroshi; Rassias, Themistocles M. 2 1995 An application of Nevanlinna-Polya theorem to a cosine functional equation. Zbl 0197.12503Haruki, H. 2 1970 On Ivory’s theorem. Zbl 0041.08203Haruki, Hiroshi 2 1949 On a metrical theorem in geometry of circles. Zbl 0244.30005Haruki, Hiroshi 2 1972 On the equivalence of Hille’s and Robinson’s functional equations. Zbl 0268.30002Haruki, Hiroshi 2 1973 A famous definite integral. Zbl 0325.26006Haruki, Hiroshi 2 1975 New generalizations of the Poisson kernel. Zbl 0892.31001Haruki, Hiroshi; Rassias, Themistocles M. 2 1997 On a certain family of meromorphic functions. Zbl 0122.07404Haruki, H. 1 1964 A new functional equation characterizing generalized Joukowski transformations. Zbl 0618.39004Haruki, Hiroshi 1 1987 On an application of the ’square’ functional equation to a geometric characterization of quadratic functions from the standpoint of conformal- mapping properties. Zbl 0214.39201Haruki, H. 1 1971 On a relation between the ”square” functional equation and the ”square” mean-value property. Zbl 0222.39006Haruki, Hiroshi 1 1971 On a functional equation for the exponential function of a complex variable. Zbl 0224.30016Haruki, Hiroshi 1 1971 A new Pythagorean functional equation. Zbl 0722.30012Haruki, H. 1 1990 An improvement of the Nevanlinna-Pólya theorem. Zbl 0579.39006Haruki, H. 1 1984 Euler’s integrals. Zbl 0599.26011Haruki, H.; Haruki, S. 1 1983 A new characterization of Euler’s gamma function by a functional equation. Zbl 0614.33002Haruki, H. 1 1986 A new characterization of Möbius transformations by use of Apollonius hexagons. Zbl 0943.30007Haruki, Hiroshi; Rassias, Themistocles M. 13 2000 A new characteristic of Möbius transformations by use of Apollonius quadrilaterals. Zbl 0902.30006Haruki, Hiroshi; Rassias, Themistocles M. 18 1998 New generalizations of the Poisson kernel. Zbl 0892.31001Haruki, Hiroshi; Rassias, Themistocles M. 2 1997 A new characteristic of Möbius transformations by use of Apollonius points of triangles. Zbl 0857.39012Haruki, Hiroshi; Rassias, Themistocles M. 15 1996 New characterizations of some mean-values. Zbl 0878.39005Haruki, Hiroshi; Rassias, Themistocles M. 9 1996 A new analogue of Gauss’ functional equation. Zbl 0855.39019Haruki, Hiroshi; Rassias, Themistocles M. 5 1995 A new functional equation of Pexider type related to the complex exponential function. Zbl 0855.39020Haruki, Hiroshi; Rassias, Themistocles M. 4 1995 New generalizations of Jensen’s functional equation. Zbl 0965.39020Haruki, Hiroshi; Rassias, Themistocles M. 2 1995 A new invariant characteristic property of Möbius transformations from the standpoint of conformal mapping. Zbl 0796.39008Haruki, Hiroshi; Rassias, Themistocles M. 8 1994 New integral representations for Bernoulli and Euler polynomials. Zbl 0776.11009Haruki, Hiroshi; Rassias, Themistocles M. 5 1993 New characterizations of the arithmetic-geometric mean of Gauss and other well-known mean values. Zbl 0746.39004Haruki, Hiroshi 8 1991 A new Pythagorean functional equation. Zbl 0722.30012Haruki, H. 1 1990 On a functional equation of Pexider type. Zbl 0656.39004Haruki, Hiroshi 3 1988 A new functional equation characterizing generalized Joukowski transformations. Zbl 0618.39004Haruki, Hiroshi 1 1987 A new characterization of Euler’s gamma function by a functional equation. Zbl 0614.33002Haruki, H. 1 1986 A functional equation arising from the Joukowski transformation. Zbl 0577.30037Haruki, Hiroshi 3 1985 An improvement of the Nevanlinna-Pólya theorem. Zbl 0579.39006Haruki, H. 1 1984 Euler’s integrals. Zbl 0599.26011Haruki, H.; Haruki, S. 1 1983 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002Hille, Einar 5 1975 A famous definite integral. Zbl 0325.26006Haruki, Hiroshi 2 1975 An integral inequality in analytic function theory. Zbl 0268.30001Haruki, Hiroshi 3 1973 On the equivalence of Hille’s and Robinson’s functional equations. Zbl 0268.30002Haruki, Hiroshi 2 1973 A proof of the principle of circle-transformation by the use of a theorem on univalent functions. Zbl 0241.30017Haruki, Hiroshi 7 1972 On a metrical theorem in geometry of circles. Zbl 0244.30005Haruki, Hiroshi 2 1972 On an application of the ’square’ functional equation to a geometric characterization of quadratic functions from the standpoint of conformal- mapping properties. Zbl 0214.39201Haruki, H. 1 1971 On a relation between the ”square” functional equation and the ”square” mean-value property. Zbl 0222.39006Haruki, Hiroshi 1 1971 On a functional equation for the exponential function of a complex variable. Zbl 0224.30016Haruki, Hiroshi 1 1971 On the functional equation \(f(x+t,y) + f(x-t,y) = f(x,y+t) + f(x,y-t)\). Zbl 0207.45802Haruki, H. 9 1970 An application of Nevanlinna-Polya theorem to a cosine functional equation. Zbl 0197.12503Haruki, H. 2 1970 On a ’cube functional equation’. Zbl 0179.21203Haruki, H. 7 1969 General and regular solutions of functional equations characterizing harmonic polynomials. Zbl 0157.46102Aczél, János; Haruki, H.; McKiernan, M. A.; Sakovich, G. N. 31 1968 On an integral mean-value theorem in analytic function theory. Zbl 0157.12802Haruki, H. 2 1968 On certain functional equations connected with two invariant properties under mapping from the z-plane into the w-plane. Zbl 0149.10804Haruki, H. 2 1967 On the functional equations \(|f(x+iy)| = |f(x)+f(iy)|\) and \(|f(x+iy)| = |f(x)-f(iy)|\) and on Ivory’s theorem. Zbl 0143.16902Haruki, H. 2 1966 Studies on certain functional equations from the standpoint of analytic function theory. Zbl 0139.09703Haruki, H. 7 1965 On a certain family of meromorphic functions. Zbl 0122.07404Haruki, H. 1 1964 On Ivory’s theorem. Zbl 0041.08203Haruki, Hiroshi 2 1949 all cited Publications top 5 cited Publications all top 5 Cited by 97 Authors 10 Haruki, Hiroshi 7 Haruki, Shigeru 4 Światak, Halina 3 Baker, John A. 3 Bonk, Mario 3 Bulut, Serap 3 Li, Baokui 3 Park, Choonkil 3 Simsek, Yilmaz 3 Székelyhidi, László 3 Wang, Yuefei 3 Yang, Shihai 3 Yılmaz Özgür, Nihal 2 Aseev, Vladislav Vasil’evich 2 Cho, Yeol Je 2 Demirel, Oğuzhan 2 Fenyö, Istvan S. 2 Kim, Youngho 2 Laird, Philip G. 2 Matkowski, Janusz 2 McKiernan, Michel A. 2 Najati, Abbas 2 Niamsup, Piyapong 2 Rassias, Themistocles Michael 2 Suksumran, Teerapong 2 Toader, Gheorghe 2 Ungar, Abraham Albert 2 Wang, Xiantao 1 Abramovich, Shoshana 1 Alzer, Horst 1 An, Jong Soo 1 Aruldass, Antony Raj 1 Arunkumar, Mohan 1 Baran, Mirosław 1 Beardon, Alan Frank 1 Birman, Graciela Silvia 1 Błasińska-Lesk, J. 1 Brychkov, Yury A. 1 Chlebík, Miroslav 1 Chu, Yuming 1 Chung, Jukang 1 Cvijović, Djurdje 1 Dai, Ye-Qi 1 Enflo, Per Henrik 1 Etigson, Lawrence 1 Fang, Ainong 1 Fischer, Pal 1 Ganguli, Ankur 1 Girod, Donald 1 Głazowska, Dorota 1 Gol’dberg, Anatoliĭ Asirowitsch 1 Gselmann, Eszter 1 Guo, Bai-Ni 1 Han, Maoan 1 Heuvers, Konrad J. 1 Hou, Jinchuan 1 Huang, Manzi 1 Járai, Antal jun. 1 Kang, Jung Im 1 Kannappan, Palaniappan 1 Kergilova, T. A. 1 Kergylova, Tatyana 1 Kiss, Gergely 1 Kobayashi, Osamu 1 Kucharzewski, Mieczyslaw 1 Kucukoglu, Irem 1 Lawruk, Bohdan 1 Li, Baoqin 1 Liu, Jing 1 Lu, Feng 1 Luo, Qiuming 1 Marichev, Oleg Igorevich 1 Minda, David 1 Moslehian, Mohammad Sal 1 Oh, Sei-Qwon 1 Pachaiyappan, Divyakumari 1 Pečarić, Josip 1 Prudnikov, Anatoliĭ Platonovich 1 Qi, Feng 1 Rajamani, Rajesh 1 Sahoo, Prasanna K. 1 Sinopoulos, Pavlos 1 Soytürk Seyrantepe, Emine 1 Stetkær, Henrik 1 Száz, Árpád 1 Tsutsumi, Akira 1 Ume, Jeong Sheok 1 Vincze, Csaba 1 Walorski, Janusz 1 Wang, Miaokun 1 Wang, Wanlan 1 Wang, Yuefei 1 Weit, Yitzhak 1 Xu, Bing 1 Zalcman, Lawrence Allen 1 Zhang, Qian 1 Zhao, Tiehong all top 5 Cited in 36 Serials 34 Aequationes Mathematicae 14 Journal of Mathematical Analysis and Applications 5 Proceedings of the Japan Academy. Series A 3 Transactions of the American Mathematical Society 3 Acta Mathematica Sinica. English Series 2 Journal of Soviet Mathematics 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Tokyo Journal of Mathematics 2 Acta Mathematica Hungarica 2 Turkish Journal of Mathematics 2 Journal of Inequalities and Applications 2 Science China. Mathematics 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Israel Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Mathematische Annalen 1 Siberian Mathematical Journal 1 Discrete & Computational Geometry 1 Journal of Applied Mathematics and Stochastic Analysis 1 Mathematical Inequalities & Applications 1 Computational Methods and Function Theory 1 Fixed Point Theory and Applications 1 Advances in Difference Equations 1 Proceedings of the Japan Academy 1 Complex Analysis and Operator Theory 1 Journal of Mathematical Inequalities 1 European Journal of Pure and Applied Mathematics 1 Banach Journal of Mathematical Analysis all top 5 Cited in 30 Fields 56 Difference and functional equations (39-XX) 30 Functions of a complex variable (30-XX) 13 Real functions (26-XX) 10 Special functions (33-XX) 9 Functional analysis (46-XX) 9 Geometry (51-XX) 6 Partial differential equations (35-XX) 5 Number theory (11-XX) 4 Potential theory (31-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.