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Since (0, 0, 0) is an indeterminacy of ζ 3 (s 1 , s 2 , s 3 ), (1.3) and (1.4) give different values.Akiyama, Egami and Tanigawa [1] defined the regular values byand Akiyama and Tanigawa [2] considered the reverse and central values given by1 2 T. Onozuka respectively. Further, Sasaki [8] generalized the regular and reverse values. He defined multiple zeta values for coordinatewise limits bywhere {i 1 , · · · , i d } = {1, · · · , d}. He obtained all multiple zeta values of depth 3 for coordinatewise limits. In addition, he treated the multiple zeta values of depth 4 for coodinatewise limits in [9]. On the other hand, Kamano [4] considered the regular, reverse and central values of the multiple Hurwitz zeta funcions. Komori [5] considered more general multiple zeta functions, and he obtained multiple zeta values at non-positive integers given by· · · lim z w −1 (1) →−r w −1 (1)

In this paper, we study specific families of multiple zeta values which closely relate to the linear part of Kawashima's relation. We obtain an explicit basis of these families, and investigate their interpolations to complex functions. As a corollary of our main results, we also see that the duality formula and the derivation relation are deduced from the linear part of Kawashima's relation.2010 Mathematics Subject Classification. Primary 11M32.

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Ohno's relation is a well known formula among multiple zeta values. In this paper, we present its interpolation to complex functions.