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Stieltjes polynomials

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261: 33: 143:. They are unrelated to the Stieltjes polynomial solutions of differential equations. Stieltjes originally considered the case where the orthogonal polynomials 43: 302: 156: 101: 17: 73: 21: 321: 80: 58: 295: 245: 87: 240: 69: 326: 288: 235: 182: 94: 272: 315: 50: 20:. For the Stieltjes polynomial solutions of Fuchsian differential equations, see 260: 32: 268: 134:
are polynomials associated to a family of orthogonal polynomials
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for some inner product, then the Stieltjes polynomial
296: 8: 59:introducing citations to additional sources 303: 289: 159:uses the zeros of Stieltjes polynomials. 49:Relevant discussion may be found on the 220: = 0, 1, ...,  7: 257: 255: 16:For the orthogonal polynomials, see 275:. You can help Knowledge (XXG) by 14: 259: 157:Gauss–Kronrod quadrature formula 42:relies largely or entirely on a 31: 152:are the Legendre polynomials. 1: 18:Stieltjes–Wigert polynomials 241:Encyclopedia of Mathematics 22:Heine–Stieltjes polynomials 343: 254: 15: 198:polynomial orthogonal to 236:"Stieltjes polynomials" 70:"Stieltjes polynomials" 322:Orthogonal polynomials 271:-related article is a 234:Ehrich, Sven (2001) , 183:orthogonal polynomials 181:, form a sequence of 124:Stieltjes polynomials 122:In mathematics, the 55:improve this article 284: 283: 120: 119: 105: 334: 327:Polynomial stubs 305: 298: 291: 263: 256: 248: 224: â€“ 1. 115: 112: 106: 104: 63: 35: 27: 342: 341: 337: 336: 335: 333: 332: 331: 312: 311: 310: 309: 252: 233: 230: 207: 193: 180: 173: 165: 151: 142: 133: 116: 110: 107: 64: 62: 48: 36: 25: 12: 11: 5: 340: 338: 330: 329: 324: 314: 313: 308: 307: 300: 293: 285: 282: 281: 264: 250: 249: 229: 226: 202: 189: 178: 171: 164: 161: 147: 138: 129: 118: 117: 53:. Please help 39: 37: 30: 13: 10: 9: 6: 4: 3: 2: 339: 328: 325: 323: 320: 319: 317: 306: 301: 299: 294: 292: 287: 286: 280: 278: 274: 270: 265: 262: 258: 253: 247: 243: 242: 237: 232: 231: 227: 225: 223: 219: 215: 211: 205: 201: 197: 192: 188: 184: 177: 170: 162: 160: 158: 153: 150: 146: 141: 137: 132: 128: 125: 114: 103: 100: 96: 93: 89: 86: 82: 79: 75: 72: â€“  71: 67: 66:Find sources: 60: 56: 52: 46: 45: 44:single source 40:This article 38: 34: 29: 28: 23: 19: 277:expanding it 266: 251: 239: 221: 217: 213: 209: 203: 199: 195: 194:is a degree 190: 186: 175: 168: 166: 154: 148: 144: 139: 135: 130: 126: 123: 121: 108: 98: 91: 84: 77: 65: 41: 316:Categories 269:polynomial 228:References 163:Definition 81:newspapers 246:EMS Press 51:talk page 111:May 2024 95:scholar 97:  90:  83:  76:  68:  267:This 102:JSTOR 88:books 273:stub 216:for 155:The 74:news 167:If 57:by 318:: 244:, 238:, 206:–1 174:, 304:e 297:t 290:v 279:. 222:n 218:k 214:x 212:) 210:x 208:( 204:n 200:P 196:n 191:n 187:E 179:1 176:P 172:0 169:P 149:n 145:P 140:n 136:P 131:n 127:E 113:) 109:( 99:· 92:· 85:· 78:· 61:. 47:. 24:.

Index

Stieltjes–Wigert polynomials
Heine–Stieltjes polynomials

single source
talk page
improve this article
introducing citations to additional sources
"Stieltjes polynomials"
news
newspapers
books
scholar
JSTOR
Gauss–Kronrod quadrature formula
orthogonal polynomials
"Stieltjes polynomials"
Encyclopedia of Mathematics
EMS Press
Stub icon
polynomial
stub
expanding it
v
t
e
Categories
Orthogonal polynomials
Polynomial stubs

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