论文标题
lauricella超几何系列$ f_a^{（n）} $有限字段
Lauricella hypergeometric series $F_A^{(n)}$ over finite fields
论文作者
论文摘要
在本文中，我们为Lauricella系列之一，$ f^{（n）} _ a $开发了一个有限的场类似物。 Greene的扩展结果是为多项式系数开发的有限场类似物，以表达Lauricella系列的二项式系数。我们进一步推导了Lauricella系列$ f^{（n）} _ $的某些转换和还原公式。最后，我们获得了Lauricella系列$ f^{（n）} _ $的许多生成功能。
In this paper, we develop a finite field analogue for one of the Lauricella series, $F^{(n)}_A$. Extending results of Greene, a finite field analog for the multinomial coefficient is developed in order to express the Lauricella series in terms of binomial coefficients. We have further deduced certain transformation and reduction formulas for the Lauricella series $F^{(n)}_A$. Finally, we have obtained a number of generating functions for the Lauricella series $F^{(n)}_A$.
