The bivariate sinc-Gauss sampling formula is introduced in Asharabi and Prestin (IMA J. Numer. Anal. 36:851–871, 2016) to approximate analytic functions of two variables which satisfy certain growth condition. In this paper, we apply this formula to approximate partial derivatives of any order for entire and holomorphic functions on an infinite horizontal strip domain using only finitely many samples of the function itself. The rigorous error analysis is carried out with sharp estimates based on a complex analytic approach. The convergence rate of this technique will be of exponential type, and it has a high accuracy in comparison with the accuracy of the bivariate classical sampling formula. Several computational examples are exhibited, demonstrating the exactness of the obtained results.

在Asharabi和Prestin（IMA J. Numer。Anal。36：851–871，2016）中引入了双变量sinc-Gauss采样公式，以近似满足两个增长条件的两个变量的解析函数。在本文中，我们仅使用函数本身的有限多个样本，即可将该公式应用于无限水平带域上的完整函数和全纯函数的任意阶的偏导数。基于复杂的分析方法，使用敏锐的估计值进行了严格的误差分析。该技术的收敛速度将是指数型，并且与二元经典采样公式的精度相比具有很高的精度。展示了几个计算示例，证明了所获得结果的准确性。