Welcome to the web page of Katsuyoshi Ohara.

• Katsuyoshi OHARA
  Faculty of Mathematics and Physics, Kanazawa University

• Papers.
  1. P. H. Gunawan, S. Omata, K. Ohara and M. Kazama: Droplet collision via the SPH method with surface tension, Gakuto Intern. Ser. Math. Sci. Appl. 34 (2011), 151--156.
  2. T. Sei, H. Shibata, A. Takemura, K. Ohara and N. Takayama: Properties and applications of Fisher distribution on the rotation group, preprint. (arXiv:1110.0721 [stat.ME])
  3. H. Nakayama, K. Nishiyama, M. Noro, K. Ohara, T. Sei, N. Takayama and A. Takemura: Holonomic Gradient Descent and its Application to Fisher-Bingham Integral, Advances in Applied Mathematics 47-3 (2011), 639--658.
  4. K. Ohara and S. Tajima: Spectral Decomposition and Eigenvectors of Matrices by Residue Calculus, Proceedings of the Joint Conference of ASCM 2009 and MACIS 2009, COE Lecture Note 22, Kyushu University, 137--140.
  5. K. Matsumoto and K. Ohara: Some transformation formulas for Lauricella's hypergeometric functions F_D, Funkcialaj Ekvacioj, 52-2 (2009), 203--212.
  6. K. Ohara and N. Takayama: Holonomic rank of A-hypergeometric differential-difference equations, Journal of Pure and Applied Algebra 213-8 (2009), 1536--1544.
  7. K. Ohara and N. Takayama: Dimension formula of solution spaces of A-hypergeometric differential-difference systems, Proceedings of the Seventh Asian Symposium on Computer Mathematics (ASCM2005), edited by Sung-il Pae and Hyungju Park, Korea Institute for Advanced Study, 100--102, 2005.
  8. H. Yoshiuchi, S. Omata, K. Svadlenka and K. Ohara: Numerical solution of film vibration with obstacle, Adv. Math. Sci. Appl. 16-1 (2006), 33--43.
  9. T. Yamazaki, S. Omata, K. Svadlenka and K. Ohara: Construction of approximate solution to a hyperbolic free boundary problem with volume constraint and its numerical computation, Adv. Math. Sci. Appl. 16-1 (2006), 57--67.
  10. T. Yamazaki, S. Omata, H. Yoshiuchi and K. Ohara: Bubble motion on water surface, Gakuto Intern. Ser. Math. Sci. Appl. 23 (2005), 209--216.
  11. H. Iwasaki, K. Ohara, S. Omata and T. Zhou: Numerical computations for interfaces motion related to a triple potential well problem, Adv. Math. Sci. Appl. 14-2 (2004), 457--464.
  12. K. Mimachi, K. Ohara and M. Yoshida: Intersection numbers for loaded cycles asssociated with Selberg-type integrals, Tohoku Math. J. 56-4 (2004), 531--551.
  13. K. Ohara, Y. Sugiki and N. Takayama: Quadratic Relations for Generalized Hypergeometric Functions _pF_p-1, Funkcialaj Ekvacioj 46-2 (2003), 213--251.
  14. M. Maekawa, M. Noro, K. Ohara, N. Takayama and Y. Tamura: OpenXM --- an Open System to Integrate Mathematical Software:
      Kerber, M. and Kohlhase, M., eds, Symbolic Computation and Automated Reasoning: The Calculemus 2000 Symposium. AK Peters, 2001.
  15. M. Maekawa, M. Noro, K. Ohara and K. Tamura: The Design and Implementation of OpenXM-RFC 100 and 101, Computer Mathematics, Proceedings of the Fifth Asian Symposium (ASCM 2001), edited by Shirayanagi and Yokoyama, World Scientific, 102--111, 2001.
  16. K. Ohara: Computation of the monodromy of the generalized hypergeometric function _pF_p-1(a₁, ..., a_p; b₂, ..., b_p; z), Kyushu J. Math. 51(1997), 101--124.
• software
  • A unofficial source distribution of the OpenXM project.
  • Risa/Asir binary for Windows7 x64.
  • yang --- a package for hypergeometric functions and Groebner bases of rings of differential-difference operators. (it is idistributed with the OpenXM softwares above)
  • Table of Pfaffian differential equations of 34 hypergeometric functions in Horn's List, Lauricella's 3-variate hypergeometric functions and the hypergeometric function of type (3,6).
    This table is computed by yang.