Based on a unicity theorem for entire funcitions concerning differential polynomials proposed by M. L. Fang and W. Hong, we studied the uniqueness problem of two meromorphic functions whose differential polynomials sh...Based on a unicity theorem for entire funcitions concerning differential polynomials proposed by M. L. Fang and W. Hong, we studied the uniqueness problem of two meromorphic functions whose differential polynomials share the same 1- point by proving two theorems and their related lemmas. The results extend and improve given by Fang and Hong’s theorem.展开更多
In this article, we determine the Eigen values and Eigen vectors of a square matrix by a new approach. This considers all the roots with their multiplicities are known, using only the simple matrix multiplication of a...In this article, we determine the Eigen values and Eigen vectors of a square matrix by a new approach. This considers all the roots with their multiplicities are known, using only the simple matrix multiplication of a vector. This process does not even require matrix inversion.展开更多
In this note a theorem concerning the coincidence between the characteristic polynomial of a cycle and the polynomial of Kekule structure count of a primitive coronoid is presented which implies a complete solution of...In this note a theorem concerning the coincidence between the characteristic polynomial of a cycle and the polynomial of Kekule structure count of a primitive coronoid is presented which implies a complete solution of Hosoya's mystery.展开更多
文摘Based on a unicity theorem for entire funcitions concerning differential polynomials proposed by M. L. Fang and W. Hong, we studied the uniqueness problem of two meromorphic functions whose differential polynomials share the same 1- point by proving two theorems and their related lemmas. The results extend and improve given by Fang and Hong’s theorem.
文摘In this article, we determine the Eigen values and Eigen vectors of a square matrix by a new approach. This considers all the roots with their multiplicities are known, using only the simple matrix multiplication of a vector. This process does not even require matrix inversion.
文摘In this note a theorem concerning the coincidence between the characteristic polynomial of a cycle and the polynomial of Kekule structure count of a primitive coronoid is presented which implies a complete solution of Hosoya's mystery.
