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Bateman Manuscript Project

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task of trying to collate the content of the very large literature. On his death in 1946, his papers on this project were still in a uniformly rough state. The publication of the edited version provided special functions texts more up-to-date than, for example, the classic
90:, who renewed them in the early 1980s. In 2011, the California Institute of Technology gave permission for scans of the volumes to be made publicly available. 223: 801: 218: 660: 649:
Annual Report 1949–1950 To The Board Of Trustees - Comprising the Reports of the President, the Comptroller, and Other Administrative Officers
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to perform actual calculations needed to mesh with an adequate theory of how functions could be transformed into those already tabulated.
625: 560: 761: 656: 483: 396: 309: 87: 554: 499: 491: 412: 404: 325: 317: 967: 957: 614: 539: 452: 365: 270: 585: 510: 423: 336: 241: 463: 376: 281: 962: 900: 835: 140: 593: 518: 431: 344: 249: 646:"Part IV. The Activities Of The Divisions / The Division Of Physics, Mathematics, And Astronomy / Mathematics". 212: 940: 758:
OP-SF NET: The Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions
797: 98: 200: 170: 148: 80: 24:. It resulted in the eventual publication of five important reference volumes, under the editorship of 713:
Tablicy intelgral'nych preobrazovanij - II. Preobrazovanija Vesselja. Integraly otspecial'nych funkcij
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Equations of mathematical physics, including continuous and discrete Painlevé, Lamé and Heun equations
647: 596:; Bertin, David; Fulks, Watson B.; Harvey, Albert Raymond; Thomsen, Jr., Donald L.; Weber, Maria A.; 521:; Bertin, David; Fulks, Watson B.; Harvey, Albert Raymond; Thomsen, Jr., Donald L.; Weber, Maria A.; 434:; Bertin, David; Fulks, Watson B.; Harvey, Albert Raymond; Thomsen, Jr., Donald L.; Weber, Maria A.; 347:; Bertin, David; Fulks, Watson B.; Harvey, Albert Raymond; Thomsen, Jr., Donald L.; Weber, Maria A.; 252:; Bertin, David; Fulks, Watson B.; Harvey, Albert Raymond; Thomsen, Jr., Donald L.; Weber, Maria A.; 53: 41: 888: 823: 746: 45: 37: 624:. Contract No. N6onr-244 Task Order XIV. Project Designation Number: NR 043-045. Order No. 19550. 559:. Contract No. N6onr-244 Task Order XIV. Project Designation Number: NR 043-045. Order No. 19549. 462:. Contract No. N6onr-244 Task Order XIV. Project Designation Number: NR 043-045. Order No. 19547. 375:. Contract No. N6onr-244 Task Order XIV. Project Designation Number: NR 043-045. Order No. 19546. 280:. Contract No. N6onr-244 Task Order XIV. Project Designation Number: NR 043-045. Order No. 19545. 930: 884: 865: 793: 640: 575: 480: 393: 298: 166: 65: 589: 514: 427: 340: 245: 103: 922: 912: 857: 847: 720: 708: 695: 683: 617: 601: 581: 542: 526: 506: 495: 487: 478: 455: 439: 419: 408: 400: 368: 352: 332: 321: 313: 305: 273: 257: 237: 128:
as a five- or six-volume encyclopedic book series on special functions, based on the works of
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Higher Transcendental Functions - Volume III - Based, in part, on notes left by Harry Bateman
391: 296: 904: 899:. Encyclopedia of Special Functions - The Askey-Bateman project. Vol. II (1 ed.). 839: 550: 358:
Higher Transcendental Functions - Volume II - Based, in part, on notes left by Harry Bateman
892: 834:. Encyclopedia of Special Functions - The Askey-Bateman project. Vol. I (1 ed.). 827: 750: 263:
Higher Transcendental Functions - Volume I - Based, in part, on notes left by Harry Bateman
153: 64:, are not easy to document completely, absent a theory explaining the inter-relationships. 20:
was a major effort at collation and encyclopedic compilation of the mathematical theory of
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Tables of Integral Transforms - Volume II - Based, in part, on notes left by Harry Bateman
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in 1983.); Reprint: Robert E. Krieger Publishing Co., Inc., Melbourne, Florida, US. 1981.
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in 1981.); Reprint: Robert E. Krieger Publishing Co., Inc., Melbourne, Florida, US. 1981.
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in 1981.); Reprint: Robert E. Krieger Publishing Co., Inc., Melbourne, Florida, US. 1981.
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Tables of Integral Transforms - Volume I - Based, in part, on notes left by Harry Bateman
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The volumes were out of print for many years, and copyright in the works reverted to the
451:. Bateman Manuscript Project. Vol. III (1 ed.). New York / Toronto / London: 94: 613:. Bateman Manuscript Project. Vol. II (1 ed.). New York / Toronto / London: 364:. Bateman Manuscript Project. Vol. II (1 ed.). New York / Toronto / London: 951: 934: 869: 704: 679: 538:. Bateman Manuscript Project. Vol. I (1 ed.). New York / Toronto / London: 269:. Bateman Manuscript Project. Vol. I (1 ed.). New York / Toronto / London: 133: 129: 125: 71: 176:
Volume 3: Hypergeometric and Basic Hypergeometric Functions (editor: Mourad Ismail)
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Tablicy intelgral'nych preobrazovanij - I. Preobrazovanija Fur'e, Laplasa, mellina
395:(xvii+1 errata page+396 pages, red cloth hardcover) (NB. Copyright was renewed by 926: 861: 597: 522: 435: 348: 301: 300:(xxvi+4 errata pages+302 pages, red cloth hardcover) (NB. With a preface by 253: 75: 57: 908: 843: 443: 356: 261: 40:, from the middle of the nineteenth century to the advent of high-speed 482:(xvii+292+2 pages, red cloth hardcover) (NB. Copyright was renewed by 184:
Continued fractions, number theory, and elliptic and theta functions
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The theory of special functions was a core activity of the field of
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Volume 1: Univariate Orthogonal Polynomials (editor: Mourad Ismail)
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Further volumes were considered to include topics such as:
749:(2007-09-15). Dominici, Diego; Muldoon, Martin (eds.). 760:. Vol. 14, no. 5. pp. 9–10. Topic #7. 93:
Other mathematicians involved in the project include
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Volume 2: Multivariable Special Functions (editors:
788: 786: 784: 782: 741: 739: 8: 717:Tables of integral transforms - Volume II. 692:Tables of integral transforms - Volume I. 224:Digital Library of Mathematical Functions 143:began publishing volumes 1 and 2 of this 52:and other staples of problem-solving in 735: 219:NIST Handbook of Mathematical Functions 147:with series editors Mourad Ismail and 822:Assche, Walter Van (September 2020). 7: 642:(xvi+451 pages, red cloth hardcover) 659:. November 1950. pp. 46, 101. 657:California Institute of Technology 484:California Institute of Technology 397:California Institute of Technology 310:California Institute of Technology 88:California Institute of Technology 14: 832:Univariate Orthogonal Polynomials 145:Encyclopedia of Special Functions 897:Multivariable Special Functions 804:from the original on 2020-10-29 767:from the original on 2020-07-07 666:from the original on 2020-07-23 631:from the original on 2020-07-04 586:Magnus, (Hans Heinrich) Wilhelm 566:from the original on 2020-07-04 511:Magnus, (Hans Heinrich) Wilhelm 469:from the original on 2017-04-09 424:Magnus, (Hans Heinrich) Wilhelm 382:from the original on 2017-04-09 337:Magnus, (Hans Heinrich) Wilhelm 287:from the original on 2017-04-09 242:Magnus, (Hans Heinrich) Wilhelm 615:McGraw-Hill Book Company, Inc. 600:; Stampfel, Rosemarie (1954). 540:McGraw-Hill Book Company, Inc. 525:; Stampfel, Rosemarie (1954). 453:McGraw-Hill Book Company, Inc. 438:; Stampfel, Rosemarie (1955). 366:McGraw-Hill Book Company, Inc. 351:; Stampfel, Rosemarie (1953). 271:McGraw-Hill Book Company, Inc. 256:; Stampfel, Rosemarie (1953). 44:. The intricate properties of 1: 190:Transforms and related topics 725:(327 pages, cloth hardcover) 719:] (in Russian). Moscow: 700:(343 pages, cloth hardcover) 694:] (in Russian). Moscow: 655:. Pasadena, California, US: 751:"The Askey-Bateman Project" 308:. Copyright was renewed by 984: 901:Cambridge University Press 836:Cambridge University Press 594:Tricomi, Francesco Giacomo 519:Tricomi, Francesco Giacomo 432:Tricomi, Francesco Giacomo 345:Tricomi, Francesco Giacomo 250:Tricomi, Francesco Giacomo 141:Cambridge University Press 18:Bateman Manuscript Project 407:; Planned Dover reprint: 939:(xii+427 pages) Errata: 494:; Planned Dover reprint 320:; Planned Dover reprint 213:Magnus and Oberhettinger 798:"Askey–Bateman project" 968:History of mathematics 958:Mathematics literature 887:; Stokman, Jasper V.; 81:Whittaker & Watson 909:10.1017/9780511777165 844:10.1017/9780511979156 201:Abramowitz and Stegun 122:Askey–Bateman project 116:Askey–Bateman project 60:and right across the 889:Ismail, Mourad E. H. 824:Ismail, Mourad E. H. 747:Ismail, Mourad E. H. 590:Oberhettinger, Fritz 515:Oberhettinger, Fritz 428:Oberhettinger, Fritz 341:Oberhettinger, Fritz 246:Oberhettinger, Fritz 54:mathematical physics 42:electronic computing 885:Koornwinder, Tom H. 794:Koornwinder, Tom H. 675:(1+6+111+1+1 pages) 598:Whitney, Eoin Laird 523:Whitney, Eoin Laird 436:Whitney, Eoin Laird 349:Whitney, Eoin Laird 254:Whitney, Eoin Laird 99:Fritz Oberhettinger 66:Mathematical tables 46:spherical harmonics 38:applied mathematics 893:Van Assche, Walter 828:Van Assche, Walter 304:and a foreword by 167:Tom H. Koornwinder 139:Starting in 2020, 50:elliptic functions 963:Special functions 306:Earnest C. Watson 171:Jasper V. Stokman 149:Walter Van Assche 124:was announced by 110:Francesco Tricomi 62:physical sciences 22:special functions 975: 942: 938: 918:978-1-10700373-6 895:, eds. (2021) . 881: 875: 873: 853:978-0-52119742-7 819: 813: 812: 810: 809: 790: 777: 775: 773: 772: 766: 755: 743: 724: 699: 674: 672: 671: 665: 654: 639: 637: 636: 630: 612: 574: 572: 571: 565: 537: 477: 475: 474: 468: 450: 390: 388: 387: 381: 363: 295: 293: 292: 286: 268: 157: 107: 983: 982: 978: 977: 976: 974: 973: 972: 948: 947: 946: 945: 919: 883: 882: 878: 874:(xii+388 pages) 854: 821: 820: 816: 807: 805: 792: 791: 780: 770: 768: 764: 753: 745: 744: 737: 732: 703: 678: 669: 667: 663: 652: 645: 634: 632: 628: 610: 602:Erdélyi, Arthur 582:Erdélyi, Arthur 580: 569: 567: 563: 557: 535: 527:Erdélyi, Arthur 507:Erdélyi, Arthur 505: 472: 470: 466: 448: 440:Erdélyi, Arthur 420:Erdélyi, Arthur 418: 385: 383: 379: 361: 353:Erdélyi, Arthur 333:Erdélyi, Arthur 331: 290: 288: 284: 266: 258:Erdélyi, Arthur 238:Erdélyi, Arthur 236: 233: 207:Jahnke and Emde 197: 151: 118: 101: 34: 12: 11: 5: 981: 979: 971: 970: 965: 960: 950: 949: 944: 943: 917: 876: 852: 814: 778: 734: 733: 731: 728: 727: 726: 709:Erdeji, Arthur 701: 684:Erdeji, Arthur 676: 643: 578: 555: 503: 416: 329: 232: 229: 228: 227: 221: 216: 210: 204: 196: 193: 192: 191: 188: 185: 178: 177: 174: 163: 117: 114: 95:Wilhelm Magnus 33: 30: 26:Arthur Erdélyi 13: 10: 9: 6: 4: 3: 2: 980: 969: 966: 964: 961: 959: 956: 955: 953: 941: 936: 932: 928: 924: 920: 914: 910: 906: 902: 898: 894: 890: 886: 880: 877: 871: 867: 863: 859: 855: 849: 845: 841: 837: 833: 829: 825: 818: 815: 803: 799: 795: 789: 787: 785: 783: 779: 763: 759: 752: 748: 742: 740: 736: 729: 722: 718: 714: 710: 706: 702: 697: 693: 689: 685: 681: 677: 662: 658: 651: 650: 644: 641: 627: 623: 619: 616: 609: 608: 603: 599: 595: 591: 587: 583: 579: 576: 562: 558: 552: 548: 544: 541: 534: 533: 528: 524: 520: 516: 512: 508: 504: 501: 500:0-486-44616-6 497: 493: 492:0-89874-069-X 489: 485: 481: 479: 465: 461: 457: 454: 447: 446: 441: 437: 433: 429: 425: 421: 417: 414: 413:0-486-44615-8 410: 406: 405:0-89874-069-X 402: 398: 394: 392: 378: 374: 370: 367: 360: 359: 354: 350: 346: 342: 338: 334: 330: 327: 326:0-486-44614-X 323: 319: 318:0-89874-069-X 315: 311: 307: 303: 299: 297: 283: 279: 275: 272: 265: 264: 259: 255: 251: 247: 243: 239: 235: 234: 230: 225: 222: 220: 217: 214: 211: 208: 205: 202: 199: 198: 194: 189: 186: 183: 182: 181: 175: 172: 168: 164: 161: 160: 159: 155: 150: 146: 142: 137: 135: 134:Richard Askey 131: 130:Harry Bateman 127: 126:Mourad Ismail 123: 120:In 2007, the 115: 113: 111: 105: 100: 96: 91: 89: 84: 82: 77: 73: 72:Harry Bateman 69: 67: 63: 59: 55: 51: 47: 43: 39: 31: 29: 27: 23: 19: 896: 879: 831: 817: 806:. Retrieved 769:. Retrieved 757: 716: 712: 691: 687: 668:. Retrieved 648: 633:. Retrieved 606: 568:. Retrieved 531: 471:. Retrieved 444: 384:. Retrieved 357: 289:. Retrieved 262: 231:Bibliography 179: 144: 138: 121: 119: 92: 85: 70: 35: 17: 15: 705:Bejtmen, G. 680:Bejtmen, G. 556:07-019549-8 152: [ 102: [ 952:Categories 927:1226183178 862:1195045133 808:2020-09-26 776:(23 pages) 771:2020-09-26 730:References 670:2020-07-24 635:2020-07-23 570:2020-07-23 473:2020-07-23 386:2020-07-23 291:2020-07-23 935:240874629 870:230669315 302:Mina Rees 58:astronomy 830:(eds.). 802:Archived 796:(2020). 762:Archived 711:(1969). 686:(1969). 661:Archived 626:Archived 561:Archived 464:Archived 377:Archived 282:Archived 195:See also 76:quixotic 32:Overview 622:54-6214 604:(ed.). 547:54-6214 529:(ed.). 460:53-5555 442:(ed.). 373:53-5555 355:(ed.). 278:53-5555 260:(ed.). 933:  925:  915:  868:  860:  850:  620:  553:  545:  498:  490:  458:  411:  403:  371:  324:  316:  276:  226:(DLMF) 931:S2CID 866:S2CID 765:(PDF) 754:(PDF) 721:Nauka 715:[ 696:Nauka 690:[ 664:(PDF) 653:(PDF) 629:(PDF) 611:(PDF) 564:(PDF) 536:(PDF) 467:(PDF) 449:(PDF) 380:(PDF) 362:(PDF) 285:(PDF) 267:(PDF) 156:] 106:] 923:OCLC 913:ISBN 858:OCLC 848:ISBN 618:LCCN 543:LCCN 496:ISBN 488:ISBN 456:LCCN 409:ISBN 401:ISBN 369:LCCN 322:ISBN 314:ISBN 274:LCCN 215:(MO) 209:(JE) 203:(AS) 132:and 108:and 16:The 905:doi 840:doi 551:SBN 954:: 929:. 921:. 911:. 903:. 891:; 864:. 856:. 846:. 838:. 826:; 800:. 781:^ 756:. 738:^ 707:; 682:; 592:; 588:; 584:; 549:. 517:; 513:; 509:; 430:; 426:; 422:; 343:; 339:; 335:; 248:; 244:; 240:; 169:, 158:: 154:nl 136:. 112:. 104:de 97:, 83:. 56:, 48:, 28:. 937:. 907:: 872:. 842:: 811:. 774:. 723:. 698:. 673:. 638:. 573:. 502:. 476:. 415:. 389:. 328:. 294:. 173:)

Index

special functions
Arthur Erdélyi
applied mathematics
electronic computing
spherical harmonics
elliptic functions
mathematical physics
astronomy
physical sciences
Mathematical tables
Harry Bateman
quixotic
Whittaker & Watson
California Institute of Technology
Wilhelm Magnus
Fritz Oberhettinger
de
Francesco Tricomi
Mourad Ismail
Harry Bateman
Richard Askey
Cambridge University Press
Walter Van Assche
nl
Tom H. Koornwinder
Jasper V. Stokman
Abramowitz and Stegun
Jahnke and Emde
Magnus and Oberhettinger
NIST Handbook of Mathematical Functions

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