Welcome to Nishizawa's Homepage

Contents

1. Vita
2. Research Interests
3. Publication List
• Thesis
• Papers
4. Talks
5. Links

• Thesis


1. Michitomo Nishizawa,
   On a q-Analogue of Barnes' G-Function, (In Japanese)
   Master Thesis, Waseda University.


2. Michitomo Nishizawa,
   Generalization of Gamma Function and Its Application to q-Analysis,
   Doctor Thesis, Waseda University. dvi



• Papers


1. K. Ueno and M. Nishizawa,
   Quantum Groups and Zeta-Functions,
   Quantum Groups: Formalism and Applications, (1995), 115-126.
   abstruct


2. K. Ueno and M. Nishizawa,
   The Multiple Gamma Function and Its q-analogue,
   Quantum Groups and Quantum Spaces , (1996), 429-441, Banach Center Publ. 40.
   


3. M. Nishizawa,
   On A q-Analogue of Multiple Gamma Functions,
   Lett. Math. Phys., 37 (1996), 201-209.
   abstruct


4. K. Ueno and M. Nishizawa,
   Multiple Gamma Functions and Multiple q-Gamma Functions,
   Publ. RIMS, Kyoto Univ. , 33 (1997), 813-838.
   abstruct


5. M. Nishizawa,
   On a Solution of q-Difference Analogue of Lauricella's D-type Hypregeometric Equation with |q|=1,
   Publ. RIMS, Kyoto Univ. , 34 (1998), 277-290.
   abstruct


6. M. Nishizawa and K. Ueno,
   Integral Solutions of Hypergeometric q-Difference Systems with |q|=1,
   Physics and Combinatrics 1999 , (2001), 272-285.
   abstruct


7. M. Nishizawa,
   Generalized Holder's Theorem for Multiple Gamma Functions,
   Physics and Combinatorics 2000 , (2001), 217-229.
   abstruct


8. M. Nishizawa,
   Generalized Holder's Theorem for Vigneras' Multiple Gamma Functions,
   Tokyo J. Math., 24 (2001), 323-329.
   abstruct


9. M. Nishizawa,
   An Elliptic Analogue of Multiple Gamma Function,
   J. Phys. A: Math. Gen., 34 (2001), 7411-7421.
   abstruct


10. M. Nishizawa,
    q-Special Functions with |q|=1 and Their Applications to Discrete Integrable Systems,
    J. Phys. A: Math. Gen. , 34 (2001), 10639-10647.
    abstruct


11. M. Nishizawa,
    Evaluation of a Certain q-Determinant,
    Linear Alg. Appl. , 342 (2002), 107-115.
    abstruct


12. M. Nishizawa,
    Multiple Gamma Function, Its q- and Elliptic Analogue,
    Rocky Mount. J. Math. , 32 (2002), 793-811.
    abstruct


13. M. Nishizawa,
    U_r,s(gl₄)-Symmetry for (r,s)-Hypergeometric series,
    J. Comp. Appl. Maths., 160 (2003), 233-239.
    abstruct



• Preprints


1. M. Nishizawa, Y. Ohta and S. Tsujimoto,
   Some Aspects of Toda Molecule,
   Preprint,
   abstruct



2. M. Nishizawa and K. Ueno,
   Connection Formulas for the Confluent Hypergeometric Functions and the Functional Relation for the Hurwitz Zeta-Function,
   Preprint�@arXiv : mathNT/0403457,
   abstruct



3. M. Nishizawa,
   Infinite Product Representations for Multiple Gamma Functions,
   Preprint�@arXiv : mathCA/0404077,
   abstruct

1. Michitomo Nishizawa, Kimio Ueno,
   Integral Solutions for Hypergeometric q-Difference Systems with |q|=1,
   International Workshop on Physics and Combinatorics,
   August 1999, Nagoya Univ., Japan.


2. Michitomo Nishizawa,
   Generalized Gamma Function,
   Special Function 2000 , June 2000, Arizona State Univ., USA.


3. Michitomo Nishizawa,
   Generalized Holder's Theorem for Vigneras' Multiple Gamma Function,
   International Workshop on Physics and Combinatorics 2000,
   August 2000, Nagoya Univ., Japan.


4. Michitomo Nishizawa,
   Multiple Elliptic Gamma Function,
   4 th International Conference on Symmetries and Integrabilities of Difference Equations,
   November 2000, Univ. Tokyo, Japan.


5. Michitomo Nishizawa,
   (r,s)-Hypergeometric Series and Two-Parameter Quantum Groups,
   International Conference on Special Functions and Their Applications,
   September 2002, Institute of Mathematical Sciences, Chennai, India.


6. Michitomo Nishizawa,
   Contiguous Relations for (r,s)-Hypergeometric Series,
   AMS-MAA Joint Meetings Special Session Special Functions and q-Series, Baltimore, USA.


7. Michitomo Nishizawa,
   Infinite Product Representations for the Multiple Gamma Fucntion,
   6 th Symmetries and Integrability of Difference Equations,
   June 2004, Kallvik Conference Centre, Helsinki, Finland.
   

• math-arXiv
• mathscinet
• AMS
• SIAM
• SIAM OPSF
• Graduate School of Mathematical Sciences, University of Tokyo
• RIMS