Abstract
In this paper, we give a recursive formula for the Jones poly- nomial of a 2-bridge knot or link with Conway normal form C(i2n1, 2n2, i2n3,...,(i1) r 2nr) in terms of n1,n2,...,nr. As applications, we also give a recursive formula for the Jones polynomial of a 3-periodic link L (3) with rational quotient L = C(2,n1,i2,n2,..., nr,(i1) r 2) for any nonzero integers n1,n2,...,nr and give a formula for the span of the Jones polynomial of L(3) in terms of n1,n2,...,nr with ni 6 ±1 for all i = 1,2,...,r.
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