Functions of several complex variablesThe theory of several complex variables can be studied from several different perspectives. In this book, Steven Krantz approaches the subject from the point of view of a classical analyst, emphasizing its function-theoretic aspects. He has taken particular care ...
The aim of this present paper is to obtain a general expansion theorem involving H-functions of several complex variables. This is done by making use of a Taylor-like expansion in terms of a rational function obtained by means of fractional derivatives given recently by the authors. Special ...
Function Theory of Several Complex Variables (Wadsworth & Brooks/Cole Mathematics Series) 作者: [美] Steven G·Krantz 出版社: Brooks/Cole Pub Co出版年: 1992-03定价: USD 132.95装帧: HardcoverISBN: 9780534170882豆瓣评分 目前无人评价 评价:
Mathematics - Complex VariablesWe define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then characterize meromorphic functions ...
S. Shekhawat, "An integral involving general polynomials and the H- function of several complex variables", Tamkang Journal of Mathematics, 2005, 36(3), 255-260.Chaurasia, V.B.L. and Shekhawat, A.S.- An integral involving general polynomials and the H- function of several complex ...
The first contribution describes basic concepts, facts and problems of the modern theory of entire functions of several complex variables. The second contribution deals with analogies of basic Nevanlinna's theorems about the distribution of values in the multidimensional case and various applications. The...
FUNCTIONTHEORYOFSEVERALCOMPLEXVARIABLESSECONDEDITIONSTEVENKRANTZAMSCHELSEAPUBLISHINGAmericanMathematicalSociety•ProvidenceRhodeIslandLicensedtoUnivofCalifSanDiego.PreparedonFriJun10:19:30EDT018fordownloadfromIP13.39.180.101/7.18.05.171.Licenseorcopyri
for every ω∈Ω. We shall also have occasion later to consider functions of several variables. That is, iff:nR→RandX1,X2, …,Xnare random variables, over the same space Ω, then f(X1,X2,…,Xn)(ω)=f(X1(ω),X2(ω),…,Xn(ω)), ...
This result is used in exercise 1.9b to calculate the potential of mean force between two charged colloidal particles. The above procedure of closing a contour in order to be able to apply the residue theorem is used in this book on several occasions. Details are usually given either in ...
The inputs of a multivariate function thedomain. The set of all possible outputs is therange. 2.What is Multivariable Calculus? Multivariable calculus(also calledmultivariate calculus) deals withfunctionsof severalvariables. Many techniques can be transferred fromsingle variable calculus, including finding...