Let A be a finite dimensional algebra over a field k with q elements. It is shown that the Green formula is true in mod-A if and only if A is a hereditary algebra.
In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green fun...In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green function about the operators is also given.展开更多
In this paper, we use the Mittag-Leffler addition formula to solve the Green function of generalized time fractional diffusion equation in the whole plane and prove the convergence of the Green function.
本文研究了Green公式的某些问题,讨论了函数P(x,y),Q(x,y)及偏导数 P/ y, Q/ x在有界连通(单连通的或复连通的)区域D内(或边界C上)存在奇点的情形。利用广义积分收敛的定义,在一定条件下,证明了一个新的定理。可以看出,该新定理是Green...本文研究了Green公式的某些问题,讨论了函数P(x,y),Q(x,y)及偏导数 P/ y, Q/ x在有界连通(单连通的或复连通的)区域D内(或边界C上)存在奇点的情形。利用广义积分收敛的定义,在一定条件下,证明了一个新的定理。可以看出,该新定理是Green公式的进一步推广与完善。此外,还讨论了Green公式的两种形式。最后,给出了例子说明定理的应用。展开更多
文摘Let A be a finite dimensional algebra over a field k with q elements. It is shown that the Green formula is true in mod-A if and only if A is a hereditary algebra.
文摘In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green function about the operators is also given.
文摘In this paper, we use the Mittag-Leffler addition formula to solve the Green function of generalized time fractional diffusion equation in the whole plane and prove the convergence of the Green function.
基金Supported by the NNSFC(11161030)the Specialized Research Fund for the Doctoral Program of Higher Education of China(20121501120003)the Doctoral Science Foundation of Hubei University for Nationalities(2014)
基金Supported by the National Nature Science Foundation of China(11161030)the Specialized Research Fund for the Doctoral Program of Higher Education of China(20121501120003)the Doctoral Science Foundation of Hubei University for Nationalities(2014)
文摘本文研究了Green公式的某些问题,讨论了函数P(x,y),Q(x,y)及偏导数 P/ y, Q/ x在有界连通(单连通的或复连通的)区域D内(或边界C上)存在奇点的情形。利用广义积分收敛的定义,在一定条件下,证明了一个新的定理。可以看出,该新定理是Green公式的进一步推广与完善。此外,还讨论了Green公式的两种形式。最后,给出了例子说明定理的应用。
