Let P（z）=anz^n＋an-1z^n-1＋…＋a0be a complex polynomial of degree n. There is a close connection between the coefficients and the zeros of P（z）. In this paper we prove some sharp inequalities concerning the coeff...Let P（z）=anz^n＋an-1z^n-1＋…＋a0be a complex polynomial of degree n. There is a close connection between the coefficients and the zeros of P（z）. In this paper we prove some sharp inequalities concerning the coefficients of the polynomial P（z） with restricted zeros. We also establish a sufficient condition for the separation of zeros of P（z）.展开更多
We investigate the Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in Rosen's bimetric theory of gravitation with and without a magnetic field by applying the techniques used b...We investigate the Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in Rosen's bimetric theory of gravitation with and without a magnetic field by applying the techniques used by Latelier(1979,1980)and Stachel(1983).To obtain a deterministic model of the universe,it is assumed that the universe is filled with barotropic perfect fluid distribution.The physical and geometrical significance of the model are discussed.By comparing our model with the model of Bali et al.(2007),it is realized that there are no big-bang and big-crunch singularities in our model and T=0 is not the time of the big bang,whereas the model of Bali et al.starts with a big bang at T=0.Further,our model is in agreement with Bali et al.(2007)as time increases in the presence,as well as in the absence,of a magnetic field.展开更多
In this paper, we compute Atom-bond connectivity index, Fourth atom-bond connectivity index, Sum connectivity index, Randic connectivity index, Geometric-arithmetic connectivity index and Fifth geometric-arithmetic co...In this paper, we compute Atom-bond connectivity index, Fourth atom-bond connectivity index, Sum connectivity index, Randic connectivity index, Geometric-arithmetic connectivity index and Fifth geometric-arithmetic connectivity index of Dutch windmill graph.展开更多
In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and multiplicative Zagreb indices defined on molecular graph G are applied to measure the chemic...In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and multiplicative Zagreb indices defined on molecular graph G are applied to measure the chemical characteristics of compounds and drugs. In this paper, we present the exact expressions of multiplicative Zagreb indices for certain important chemical structures like nanotube, nanostar and polyomino chain.展开更多
文摘Let P（z）=anz^n＋an-1z^n-1＋…＋a0be a complex polynomial of degree n. There is a close connection between the coefficients and the zeros of P（z）. In this paper we prove some sharp inequalities concerning the coefficients of the polynomial P（z） with restricted zeros. We also establish a sufficient condition for the separation of zeros of P（z）.
文摘We investigate the Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in Rosen's bimetric theory of gravitation with and without a magnetic field by applying the techniques used by Latelier(1979,1980)and Stachel(1983).To obtain a deterministic model of the universe,it is assumed that the universe is filled with barotropic perfect fluid distribution.The physical and geometrical significance of the model are discussed.By comparing our model with the model of Bali et al.(2007),it is realized that there are no big-bang and big-crunch singularities in our model and T=0 is not the time of the big bang,whereas the model of Bali et al.starts with a big bang at T=0.Further,our model is in agreement with Bali et al.(2007)as time increases in the presence,as well as in the absence,of a magnetic field.
文摘In this paper, we compute Atom-bond connectivity index, Fourth atom-bond connectivity index, Sum connectivity index, Randic connectivity index, Geometric-arithmetic connectivity index and Fifth geometric-arithmetic connectivity index of Dutch windmill graph.
文摘In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and multiplicative Zagreb indices defined on molecular graph G are applied to measure the chemical characteristics of compounds and drugs. In this paper, we present the exact expressions of multiplicative Zagreb indices for certain important chemical structures like nanotube, nanostar and polyomino chain.
