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Complex Variables, Theory and Application: An International Journal最新文献

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A Result for the convergence to the zero-sequence of the solution of certain linear differential equation 一类线性微分方程解收敛于零序列的结果
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-11-15 DOI: 10.1080/0278107031000151347
T. Cheng, Zong-Xuan Chen
{"title":"A Result for the convergence to the zero-sequence of the solution of certain linear differential equation","authors":"T. Cheng, Zong-Xuan Chen","doi":"10.1080/0278107031000151347","DOIUrl":"https://doi.org/10.1080/0278107031000151347","url":null,"abstract":"In this article we first investigate the zero of the solution of linear differential equation , where are all transcendental entire functions and their orders of growth are less than n. We treat the case where ζ1/ζ2 is not real. It is shown that the exponent of convergence to the zero-sequence of any meromorphic solution of the above equation is infinite.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133684181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonnegative functions in weighted hardy spaces 加权hardy空间中的非负函数
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-10-10 DOI: 10.1080/02781070412331298633
Jyunji Inoue †, T. Nakazi
{"title":"Nonnegative functions in weighted hardy spaces","authors":"Jyunji Inoue †, T. Nakazi","doi":"10.1080/02781070412331298633","DOIUrl":"https://doi.org/10.1080/02781070412331298633","url":null,"abstract":"Let W be a nonnegative summable function whose logarithm is also summable with respect to the Lebesgue measure on the unit circle. For 0 < p < ∞ , Hp (W) denotes a weighted Hardy space on the unit circle. When W ≡ 1, H p(W) is the usual Hardy space Hp . We are interested in Hp ( W)+ the set of all nonnegative functions in Hp ( W). If p ≥ 1/2, Hp + consists of constant functions. However Hp ( W)+ contains a nonconstant nonnegative function for some weight W. In this paper, if p ≥ 1/2 we determine W and describe Hp ( W)+ when the linear span of Hp ( W)+ is of finite dimension. Moreover we show that the linear span of Hp (W)+ is of infinite dimension for arbitrary weight W when 0 < p < 1/2.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131562329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence of herman rings for meromorphic functions 亚纯函数赫尔曼环的存在性
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-10-10 DOI: 10.1080/02781070412331298589
P. Domínguez, Núria Fagella †
{"title":"Existence of herman rings for meromorphic functions","authors":"P. Domínguez, Núria Fagella †","doi":"10.1080/02781070412331298589","DOIUrl":"https://doi.org/10.1080/02781070412331298589","url":null,"abstract":"We apply the Shishikura surgery construction to transcendental maps in order to obtain examples of meromorphic functions with Herman rings, in a variety of possible arrangements. We give a sharp bound on the maximum possible number of such rings that a meromorphic function may have, in terms of the number of poles. Finally we discuss the possibility of having “unbounded” Herman rings (i.e., with an essential singularity in the boundary), and give some examples of maps with this property.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132845434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
Differential polynomials generated by linear differential equations 由线性微分方程生成的微分多项式
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-10-10 DOI: 10.1080/02781070410001701092
I. Laine, Jarkko Rieppo †
{"title":"Differential polynomials generated by linear differential equations","authors":"I. Laine, Jarkko Rieppo †","doi":"10.1080/02781070410001701092","DOIUrl":"https://doi.org/10.1080/02781070410001701092","url":null,"abstract":"This article is devoted to considering value distribution theory of differential polynomials generated by solutions of linear differential equations in the complex plane. In particular, we consider normalized second-order differential equations f″+A(z)f=0, where A(z) is entire. Most of our results are treating the growth of such differential polynomials and the frequency of their fixed points, in the sense of iterated order.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114603732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 51
On the product property for the Lempert function 关于Lempert函数的乘积性质
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-09-22 DOI: 10.1080/02781070500139781
N. Nikolov, W. Zwonek
{"title":"On the product property for the Lempert function","authors":"N. Nikolov, W. Zwonek","doi":"10.1080/02781070500139781","DOIUrl":"https://doi.org/10.1080/02781070500139781","url":null,"abstract":"In this article, we study the problem of the product property for the Lempert function with many poles and consider some properties of this function mostly for plane domains.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132532217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Functions averages over the roots of unity, cauchy problems and addition formulas 单位根上的函数平均值，柯西问题和加法公式
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-09-15 DOI: 10.1080/02781070412331298570
L. Bragg
{"title":"Functions averages over the roots of unity, cauchy problems and addition formulas","authors":"L. Bragg","doi":"10.1080/02781070412331298570","DOIUrl":"https://doi.org/10.1080/02781070412331298570","url":null,"abstract":"An averaging operator over the roots of unity is defined on a class of analytic functions and its algebraic and analytic properties are investigated. A Cauchy like integral formula for this is obtained. This operator and its properties are then employed to solve higher order Cauchy problems, to derive addition formulas for hypergeometric functions and to obtain integral representations for special classes of hypergeometric functions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116707395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unicity of entire functions and their linear differential polynomials 整个函数及其线性微分多项式的唯一性
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-09-15 DOI: 10.1080/02781070412331298552
Wenjie Wang, Ping Li
{"title":"Unicity of entire functions and their linear differential polynomials","authors":"Wenjie Wang, Ping Li","doi":"10.1080/02781070412331298552","DOIUrl":"https://doi.org/10.1080/02781070412331298552","url":null,"abstract":"We study the relationship between an entire function f and its certain type of linear differential polynomial L when f and L share one finite nonzero value under some additional conditions. The results improve and generalize some previous results obtained by C.C. Yang and some other authors.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126210768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Uniqueness theorems for meromorphic functions concerning fixed-points 关于不动点的亚纯函数的唯一性定理
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-09-15 DOI: 10.1080/02781070412331298624
Wei-Chuan Lin, H. Yi
{"title":"Uniqueness theorems for meromorphic functions concerning fixed-points","authors":"Wei-Chuan Lin, H. Yi","doi":"10.1080/02781070412331298624","DOIUrl":"https://doi.org/10.1080/02781070412331298624","url":null,"abstract":"In this article, we deal with the uniqueness problems on meromorphic functions concerning differential polynomials that share fixed-points. Moreover, we greatly improve a former result.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128362661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 65
On the extension of a theorem of Stein and Weiss and its application 关于Stein和Weiss定理的推广及其应用
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-08-15 DOI: 10.1080/02781070410001731684
Ivan H. Feschiev, S. Gocheva-Ilieva
{"title":"On the extension of a theorem of Stein and Weiss and its application","authors":"Ivan H. Feschiev, S. Gocheva-Ilieva","doi":"10.1080/02781070410001731684","DOIUrl":"https://doi.org/10.1080/02781070410001731684","url":null,"abstract":"In this paper there is proved a generalization of a theorem of Stein and Weiss concerning metric properties of the conjugate characteristic functions of given sets on the interval [0, 2π]. As an application for the Hilbert transform of a bounded function, the optimal correlation where the Favard's constant : is also established.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121310811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On weak reverse hölder inequalities for nondoubling harmonic measures 非二次谐波测度的弱逆hölder不等式
Complex Variables, Theory and Application: An International Journal Pub Date : 2004-06-10 DOI: 10.1080/02781070410001731738
Björn Bennewitz, John L. Lewis †
{"title":"On weak reverse hölder inequalities for nondoubling harmonic measures","authors":"Björn Bennewitz, John L. Lewis †","doi":"10.1080/02781070410001731738","DOIUrl":"https://doi.org/10.1080/02781070410001731738","url":null,"abstract":"In this note we point out that theorems of David–Jerison and Semmes for harmonic measure on the boundary of an NTA Ahlfors regular type domain can be extended to more general domains.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2004-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122134278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 42
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