Quaternionic Fock space in an Euclidean unit ball $\mathbb{B}^n$

In this paper, we study the quaternionic counterpart of complex Fock spaces $\mathfrak{F}_α^p ( 0<p<\infty$ and for some parameter $α$) of entire slice hyperholomorphic functions in an Euclidean unit ball $\mathbb{B}^n$ in $\mathbb{H}^n.$ We also study some basic properties of these spaces.

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