The Ohno relation for multiple zeta values can be formulated as saying that a certain operator, defined indices, is invariant under taking duals. In this paper, we generalize the to regularized by showing that, although suitably generalized operator not duals, between its at an index and dual written explicitly in terms of gamma function.

In this paper we define a continuous version of multiple zeta functions. They can be analytically continued to meromorphic functions on ℂ r with only simple poles at some special hyperplanes. The evaluations these positive integers (continuous values) satisfy the shuffle product. We give detailed analysis about depth structure values. There are also sum formulas for Lastly calculate values in t...