Bochner–Martinelli formula for kk-Cauchy–Fueter operator

The kk-Cauchy–Fueter operator has its roots in physics and tools for its study are mainly based on exact sequences and Penrose transforms. In this article, we show that the analytic approach has its advantage in establishing the Bochner–Martinelli formula for kk-Cauchy–Fueter operator with explicit kernels. Explicit form of the Bochner–Martinelli kernel will be important for further investigation on the theory of kk-Cauchy–Fueter operators.