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| Goursat E. — Functions of a complex variable. Part 1 of volume II |
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| Предметный указатель |
Primitive functions: SS 15
Primitive pair of periods 149
Principal part 89 40 91 42 110 52
Products, infinite (see Infinite products)
Projection, Mercator’s 52
Puiseux 240
Quartics 187 81
Quartics, bicircular 19
Rational fraction 1
Rational functions 12
Region, connected 11
Regular functions (see Functions regular)
Representation, conformal (see Conformal representation)
Representation, parametric (see Curves)
Residues 75 33 94 43 101 48 110 52 112 53
Residues of elliptic functions 151 68
Rhumb lines 5
Riemann surfaces 244 101
Riemanni 10 ftn. 50 22 74 32 244 101
Riemann’s theorem 50 22
Roots of equations (see Equations D’Alembert’s and
Sauvage 231 97
Schroder 214 89
Series, of analytic functions 86 39
Several variables, functions of 218 91
Sigma function, a(u) 162 72
Single-valued analytic functions 127 57
Single-valued analytic functions with an infinite number of singular points, Mittag-Leffler’s theorem 134 60
| Single-valued functions 17 7 127 57
Singular lines (see Cuts and Natural boundaries)
Singularities of analytical expressions 213 89
Stereographic projection 53 ex. 2
Symmetric points 58 ex. 17
Systems, conjugate isothermal 54 24
Tannery 214 89
Taylor 20 8 75 33 78 35 206 94
Theta function, B(u) 170 76
Total residue 111
Transcendental functions (see Functions)
Transcendental integral functions (see Integral transcendental functions)
Transformations, birational 192 82 252
Trigonometric functions 26 12
Unicursal curves 191 82
Uniform convergence (see Convergence uniform)
Uniform functions 17
Uniformly convergentseries and products (see Convergence uniform)
Variables, complex 6 2
Variables, infinite values of 109 52
Variables, several (see Analytic functions of several variables)
Weierstrass 64 27 88 42 121 56 127 57 63 149 67 154 69 156 69 200
Weierstrass’s formula 64 27 121 56
Weierstrass’s formula, primary functions 127 57
Weierstrass’s formula, theorem 92 42 127 57
Zeros of analytic functions 88 40
Zeros of elliptic functions 152 68 154 68
Zeros, infinite number of 26 11 9
Zeta function, f(u) 159 71
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