In this paper, we consider growth and covering theorem for f（x）, where f（x） is spiallike mapping of type β with order α defined on unit ball B of complex Banach space, and x=0 is zero of order k＋1 for f（x）-x....In this paper, we consider growth and covering theorem for f（x）, where f（x） is spiallike mapping of type β with order α defined on unit ball B of complex Banach space, and x=0 is zero of order k＋1 for f（x）-x. We also dicate that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.展开更多
This paper gives the strict solution of optical field equation in the optical waveguides with parabolic profiles. It shows that the photons in the non-uniform optical waveguide propagate along z-axis in spiral form, j...This paper gives the strict solution of optical field equation in the optical waveguides with parabolic profiles. It shows that the photons in the non-uniform optical waveguide propagate along z-axis in spiral form, just like a charged particles moving in the magnetic field. Only in the step-index waveguides, it can the photons propagate in ziging form.展开更多
In this paper, we get the fact that generalized Roper-Suffridge operators act on spirallike mapping of type α on different domains is invariable, these results include some results known.
基金Foundation item： Supported by the National Natural Science Foundation of china（10571044）
文摘In this paper, we consider growth and covering theorem for f（x）, where f（x） is spiallike mapping of type β with order α defined on unit ball B of complex Banach space, and x=0 is zero of order k＋1 for f（x）-x. We also dicate that the estimation is precise when β=0 and still give growth upper bound and distortion upper bound for subordinate mapping. This result include some results known.
文摘This paper gives the strict solution of optical field equation in the optical waveguides with parabolic profiles. It shows that the photons in the non-uniform optical waveguide propagate along z-axis in spiral form, just like a charged particles moving in the magnetic field. Only in the step-index waveguides, it can the photons propagate in ziging form.
基金the National Natural Science Foundation of China(10571044)
文摘In this paper, we get the fact that generalized Roper-Suffridge operators act on spirallike mapping of type α on different domains is invariable, these results include some results known.
