Let pj ∈ N and pj ≥-1, j = 2,...,n be a fixed positive integer. In this paper a generalized Roper-Suffridge extension operator F（z） ={f（Z1）＋f＇（z1）} on Reinhardt domain is defined. Some different conditions f...Let pj ∈ N and pj ≥-1, j = 2,...,n be a fixed positive integer. In this paper a generalized Roper-Suffridge extension operator F（z） ={f（Z1）＋f＇（z1）} on Reinhardt domain is defined. Some different conditions for Pj areestablished under which the operator preserves an almost spirallike mapping of type fl and order a and spirallike mapping of type β and order α, respectively. In particular, our results reduce to many well-known results.展开更多
In this paper, from the two economic concepts of the price elasticity of demand and the cross elasticity of demand, under the assumption that the operator＇s management goal is to obtain the profit maximization, the a...In this paper, from the two economic concepts of the price elasticity of demand and the cross elasticity of demand, under the assumption that the operator＇s management goal is to obtain the profit maximization, the author established the mathematical model of the adjustment of the optimal price of the substituting commodity.展开更多
We investigate a uniqueness topic of entire functions with finite order sharing some values with their difference operators and obtain one result that if△f(≠0)and entire function f share a,b CM(counting multipliciti...We investigate a uniqueness topic of entire functions with finite order sharing some values with their difference operators and obtain one result that if△f(≠0)and entire function f share a,b CM(counting multiplicities),then△f≡f.This result partially confirms a conjecture due to Chen and Yi(2013).展开更多
In this note,it is proved that for the annihilation operator B of the unforced quantum harmonic oscillator,B^n is mixing and generically 5-chaotic with any 0 < δ < 2 for each positive integer n.Besides,by using...In this note,it is proved that for the annihilation operator B of the unforced quantum harmonic oscillator,B^n is mixing and generically 5-chaotic with any 0 < δ < 2 for each positive integer n.Besides,by using the result in[Wu X and Zhu P,J.Phys.A:Math.Theor.,2011,44:505101],the authors obtain that the principal measure of B^n is equal to 1 for each positive integer n.展开更多
文摘Let pj ∈ N and pj ≥-1, j = 2,...,n be a fixed positive integer. In this paper a generalized Roper-Suffridge extension operator F（z） ={f（Z1）＋f＇（z1）} on Reinhardt domain is defined. Some different conditions for Pj areestablished under which the operator preserves an almost spirallike mapping of type fl and order a and spirallike mapping of type β and order α, respectively. In particular, our results reduce to many well-known results.
文摘In this paper, from the two economic concepts of the price elasticity of demand and the cross elasticity of demand, under the assumption that the operator＇s management goal is to obtain the profit maximization, the author established the mathematical model of the adjustment of the optimal price of the substituting commodity.
基金supported by the Tianyuan Fund for Mathematics(Grant No.11326085)the Fundamental Research Funds for the Central Universities(Grant No.2011QNA25)National Natural Science Foundation of China(Grant No.11271179)
文摘We investigate a uniqueness topic of entire functions with finite order sharing some values with their difference operators and obtain one result that if△f(≠0)and entire function f share a,b CM(counting multiplicities),then△f≡f.This result partially confirms a conjecture due to Chen and Yi(2013).
基金supported by YBXSZC20131046the Scientific Research Fund of Sichuan Provincial Education Department under Grant No.14ZB0007
文摘In this note,it is proved that for the annihilation operator B of the unforced quantum harmonic oscillator,B^n is mixing and generically 5-chaotic with any 0 < δ < 2 for each positive integer n.Besides,by using the result in[Wu X and Zhu P,J.Phys.A:Math.Theor.,2011,44:505101],the authors obtain that the principal measure of B^n is equal to 1 for each positive integer n.
