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| Авторизация |
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| Rainville E.D. — Special Functions |
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| Предметный указатель |
Theta functions, relation among fourth powers 336
Theta functions, relation among fourth powers, squares 322—325 336
Theta functions, relation among fourth powers, theta constants 324 329—332 336
Theta functions, solutions of heat equation 328 329
Theta functions, transformation of 338
Theta functions, value of G 336
Theta functions, zeros of 319—322
Theta functions, zeros of, tabulated 320
Three term recurrence relation, orthogonal polynomials 151
Toscano, Letterio 298 356
Touchard polynomials 289—290
Touchard, Jacques 289—290 356
Tricomi, F.G. 352
Truesdell, C 190 356
Type of polynomial set see “Sheffer classification and  -type of polynomial set”
Ultraspherical polynomials 272 276—277 283 301
Ultraspherical polynomials, defined 276
Ultraspherical polynomials, generating function 276
Ultraspherical polynomials, relation to polynomials of Gegenbauer 277
Ultraspherical polynomials, relation to polynomials of Jacobi 276
Ultraspherical polynomials, series expansion for Jacobi polynomial 274
Uniform convergence, infinite product 5—6
Wallis’ formula 19
Wannier, G.H. 153 351
Watson, G.N. 41—44 49 108 112 114 127 181 311 313 356—357
| Watson’s lemma 41 44
Weber, Maria 356
Webster, M.S. 356
Weierstrass function P(z) 309—313 343
Weierstrass function P(z), derivative 310
Weierstrass function P(z), differential equation 312
Weierstrass function P(z), periodicity 310
Weierstrass function P(z), poles 311
Weierstrass function P(z), relation to elliptic integral 313
Weierstrass function P(z), series form 309
Weierstrass M-test, infinite product 6
Weierstrass product for Gamma function 9
Weierstrass, Karl 6 9 10—11 13—15 48 309 343
Weisner, Louis 130 170 184 356
Whipple, F.J.W. 88 90 92 106 296 356
Whipple’s theorem 88 90 92 296
Whittaker, E.T. 49 108 114 127 181 311 313 356—357
Wilkins, J.E. 357
Wyman, Max 289—290 357
Zero factors, infinite product 2
Zeros of elliptic functions 306—308
Zeros of orthogonal polynomials 149
Zeros of theta functions 320
—recurrence relations 132 159 183 185
—unity 158
—zero 158
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