TY - BOOK AU - Greene,Robert Everist AU - Krantz,Steven G. ED - American Mathematical Society. TI - Function theory of one complex variable T2 - Graduate studies in mathematics, SN - 0821839624 AV - QA331.7 .G75 2006 PY - 2006///] CY - Providence, RI PB - American Mathematical Society KW - Functions of complex variables N1 - Includes bibliographical references (pages 497-499) and index; Contents; 1 Fundamental concepts 1; 2 Complex line integrals 29; 3 Applications of the Cauchy integral 69; 4 Meromorphic functions and residues 105; 5 The zeros of a holomorphic function 157; 6 Holomorphic functions as geometric mappings 179; 7 Harmonic functions 207; 8 Infinite series and products 255; 9 Applications of infinite sums and products 279; 10 Analytic continuation 299; 11 Topology 335; 12 Rational approximation theory 363; 13 Special classes of holomorphic functions 385; 14 Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings 415; 15 Special functions 449; 16 The prime number theorem 471; App. A Real analysis 487; App. B The statement and proof of Goursat's theorem 493 UR - http://www.loc.gov/catdir/toc/fy0611/2005057188.html ER -