In this work we introduce a new invariant of virtual knots. We show that this transcendental function invariant generalizes several polynomial invariants of virtual knots, such as the writhe polynomial , the affine index polynomial  and the zero polynomial . Several applications of this new invariant are discussed.
"A transcendental function invariant of virtual knots." J. Math. Soc. Japan 69 (4) 1583 - 1599, October, 2017. https://doi.org/10.2969/jmsj/06941583