Author |
Michitomo Nishizawa |
Journal |
Tokyo J. Math., 24 (2001), 323-329. |
Abstract |
We prove that Vigneras' multiple gammma functions does not satisfy any algebraic differential equation over C(z) by using relation between logarithmic derivative of this function and psi-function. Futhermore, we apply this relation to calculstion of convergent factors in the Weierstrass product representation of Vigneras' Multiple Gamma Function. |
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Cited by: |
M. Nishizawa,
Generalized Holder's Theorem for Multiple Gamma Functions,
Physics and Combinatorics 2000 - Proceedings of Nagoya Workshop
(2001), 217-229.
M. Nishizawa,
Infinite Product Representations for Multiple Gamma Function,
Preprint,
mathCA/0404077