In this paper,we extend the definition of almost starlike mappings of order 1/2 on B n to the almost starlike mappings of order α on the bounded starlike circular domains in C n,and give the growth theorem of it....In this paper,we extend the definition of almost starlike mappings of order 1/2 on B n to the almost starlike mappings of order α on the bounded starlike circular domains in C n,and give the growth theorem of it. This type of domain on which we discuss is rather general,in the sense that the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it.展开更多
The authors obtain the growth and covering theorems for strongly starlike mappings of order α on bounded starlike circular domains.This kind of domain discussed is rather general,since the domain must be starlike if ...The authors obtain the growth and covering theorems for strongly starlike mappings of order α on bounded starlike circular domains.This kind of domain discussed is rather general,since the domain must be starlike if exists a normalized biholomorphic starlike mapping on it.展开更多
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
Using the newly introduced general ordering theorem by Sh/ihandeh and Bazrafkan, we derive and generalize some quantum optical identities and give their applications.
In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison...In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison theorems.展开更多
Georg Cantor’s absolute infinity, the paradoxical class Ω of all ordinals, a non-entity for which being called a “class” is an undeserved dignity, must be the ultimate vexation for mathematical philosophers who ho...Georg Cantor’s absolute infinity, the paradoxical class Ω of all ordinals, a non-entity for which being called a “class” is an undeserved dignity, must be the ultimate vexation for mathematical philosophers who hold on to some residual realism in set theory. By careful use of Ω, we can rescue Georg Cantor’s 1899 “proof” sketch of the Well-Ordering Theorem (being generous, considering his declining health) by taking the contrapositive of his suggestion and adding Zermelo’s choice function, resulting in a concise and uncomplicated proof of the Well-Ordering Theorem.展开更多
Some new oscillation theorems are established for the second order nonlinear differential equations with damping of the form where p（t） and q（t） are allowed to change sign on [t0,∞).
文摘In this paper,we extend the definition of almost starlike mappings of order 1/2 on B n to the almost starlike mappings of order α on the bounded starlike circular domains in C n,and give the growth theorem of it. This type of domain on which we discuss is rather general,in the sense that the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it.
文摘The authors obtain the growth and covering theorems for strongly starlike mappings of order α on bounded starlike circular domains.This kind of domain discussed is rather general,since the domain must be starlike if exists a normalized biholomorphic starlike mapping on it.
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.
基金Project supported by the Imam Khomeini International University,I. R. Iran (Grant Nos. 751075-91 and 383042-91)
文摘Using the newly introduced general ordering theorem by Sh/ihandeh and Bazrafkan, we derive and generalize some quantum optical identities and give their applications.
文摘In this paper we establish Levin type comparison theorems for certain second order differential equations. The results obtained here generalize and extend some of the earlier ones related to the Levin's comparison theorems.
文摘Georg Cantor’s absolute infinity, the paradoxical class Ω of all ordinals, a non-entity for which being called a “class” is an undeserved dignity, must be the ultimate vexation for mathematical philosophers who hold on to some residual realism in set theory. By careful use of Ω, we can rescue Georg Cantor’s 1899 “proof” sketch of the Well-Ordering Theorem (being generous, considering his declining health) by taking the contrapositive of his suggestion and adding Zermelo’s choice function, resulting in a concise and uncomplicated proof of the Well-Ordering Theorem.
文摘Some new oscillation theorems are established for the second order nonlinear differential equations with damping of the form where p（t） and q（t） are allowed to change sign on [t0,∞).
基金Supported by the National Natural Science Foundation of China (62262012)the Foundation of Hainan University (KYQD22094, KYQD23050)Hainan Provincial Natural Science Foundation of China(124QN176)。
