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Analytic Functions (X) Linfan Mao (X)

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 Book Id: WPLBN0002097095 ► Abstract Full Text Search Details...ACES AND SMARANDACHE GEOMETRIES American Research Press Rehoboth, NM 2005 Linfan MAO Institute of Systems Science Academy of Mathematics and Systems ... ...ty, Mansﬁeld, PA 16933, USA. Copyright 2005 by American Research Press and Linfan Mao Rehoboth, Box 141 NM 87322, USA Many books can be downloaded fro... ...plex algebraic curves. For introducing this concept, it is need to enlarge analytic functions to those of dianalytic functions ﬁrst. Now let f : A−→C ... ...braic curves. For introducing this concept, it is need to enlarge analytic functions to those of dianalytic functions ﬁrst. Now let f : A−→C be a mapp... ...= √ −1,z = x−iy and f(z) = u(x,y)+iv(x,y) f(z) = u(x,y)−iv(x,y)for certain functions u,v :A−→R. A mapping f :A−→C is analytic on A if ∂f ∂z = 0 (Cauch... ...f(z) = u(x,y)−iv(x,y)for certain functions u,v :A−→R. A mapping f :A−→C is analytic on A if ∂f ∂z = 0 (Cauchy-Riemann equation) and is antianlytic on ... ...to be dianalytic if its restriction to every connected com- ponent of A is analytic or antianalytic. Now we can formally deﬁne a Klein surface. A Klei... ...phism onto an open subset A i of C or C + ={z∈C :Imz≥0} and the transition functions φ ij =φ i φ − j :φ j (U i U j )−→φ i (U i U j ). are dianalyt... ...ormization theorem 104 voltage map 33 walk 5 y-linear 24 About the Author LinfanMaoisapost-doctorintheAcademyofMathematicsandSystemsofChinese Academy...
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