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We combine continuous $q^{-1}$-Hermite Askey polynomials with new $2D$orthogonal polynomials introduced by Ismail and Zhang as $q$-analogs forcomplex Hermite polynomials to construct a new set of coherent states dependingon a nonnegative integer parameter $m$. In the analytic case corresponding to$m=0$, we recover a known result on the Ar\"{\i}k-Coon oscillator for$q'=q^{-1}>1$. Our construction leads to a new $q$-deformation of the$m$-true-polyanalytic Bargmann transform on the complex plane. The obtainedresult may be used to introduce a $q$-deformed Ginibre-type point process.

A q deformation of true-polyanalytic Bargmann transforms when q^{-1}> 1