 Genki SHIBUKAWA |
Genki SHIBUKAWA
Department of Mathematics,
Graduate School of Science, Kobe University |
Division : Applied Mathematics
Assistant Professor |
Building B, Room 315

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Research Field :
Special Functions (SF, Sukoshi Fushigi) and their applications
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Research Summary :
We have studied special functions and their applications to various fields
and problems (integrable systems, number theory, mathematical physics,
statistics, etc.). Recently, we mainly study various formulas and special
values of multivariable special functions like symmetric functions.
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Primary Publications : |
- G. Shibukawa, Operator orderings and Meixner-Pollaczek polynomials,
Journal of Mathematical Physics, 54 (2013), page 4, DOI:10.1063/1.4795713.
- G. Shibukawa, Bilateral zeta functions and their applications,
Kyushu Journal of Mathematics, 67-2 (2013), pp429--451.
https://doi.org/10.2206/kyushujm.67.429
- T. Komatsu and G. Shibukawa, Poly-Cauchy polynomials and generalized
Bernoulli polynomials, Acta Sci Math., 80 (2014), pp373--388. DOI:
10.14232/actasm-013-761-9
- G. Shibukawa, Multivariate Meixner, Charlier and Krawtchouk
polynomials according to analysis on symmetric cones, Journal of Lie
Theory, 26 (2016), pp439--477.
https://www.heldermann.de/JLT/JLT26/JLT262/jlt26020.htm
- G. Shibukawa, New trigonometric identities and reciprocity laws of
generalized Dedekind sums, Tokyo Journal of Math., 39-2 (2016),
pp329--349. DOI: 10.3836/tjm/1484903126
- G. Shibukawa, Multivariate circular Jacobi polynomials, Josai
Mathematical Monographs, 10 (2017), pp45--79. doi/10.20566/13447777_10_45
- G. Shibukawa, An elliptic analogue of Fukuhara's trigonometeric
identities, Int. J. Math. Comput. Sci., 15-2 (2020), pp745--768.
- G. Shibukawa, Multivariate Bernoulli polynomials, Josai Mathematical
Monographs, 12 (2020), pp187--209. doi/10.20566/13447777_12_187
- G. Shibukawa, Some arithmetic properties of the elliptic Dedekind sums,
Journal of Algebra, Number Theory & Applications, 46-2 (2020), pp35--54.
- G. Shibukawa, Rational values of powers of trigonometric functions,
J. Math. Tokushima Univ. 54, (2020) pp13--18.
- G. Shibukawa, New Pieri type formulas for Jack polynomials and their
applications to interpolation Jack polynomials, SIGMA, 16 (2020) pp11.
- G. Shibukawa, New identities for some symmetric polynomials and a
higher order analogue of the Fibonacci and Lucas numbers, Fibonacci
Quart., 58-5, (2020) pp200--221.
- G. Shibukawa, A revisit to periodic continuants, Josai Mathematical
Monographs, 13 (2021), pp3--17. doi/10.20566/13447777_13_3
- G. Shibukawa, Higher order difference equations for interpolation
Jack polynomials, RIMS Kokyuroku Bessatsu B87 (2021) pp7--26.
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