HypExp 2, Expanding hypergeometric functions about half-integer parameters

Computer Physics Communications

Volumn 178, Issue 10, 2008, Pages 755-776

  Huber, Tobias ^a   Maître, Daniel ^b,c  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^c UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Expansion; Half integers; Hypergeometric function; Mathematica

Indexed keywords

ALGORITHMS; COMPUTER PROGRAMMING LANGUAGES; FUNCTION EVALUATION; PARAMETER ESTIMATION;

FEYNMAN DIAGRAMS; HYPERGEOMETRIC FUNCTIONS;

INTEGER PROGRAMMING;

EID: 42649144767     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2007.12.008     Document Type: Article

References (60)

1. van Neerven W.L. Nucl. Phys. B 268 (1986) 453
2. Kramer G., and Lampe B. J. Math. Phys. 28 (1987) 945
3. Smirnov V.A. Evaluating Feynman Integrals. Springer Tracts of Modern Physics (2004), Springer, Heidelberg
4. Anastasiou C., Glover E.W.N., and Oleari C. Nucl. Phys. B 575 (2000) 416. hep-ph/9912251
5. Fleischer J., Jegerlehner F., and Tarasov O.V. Nucl. Phys. B 672 (2003) 303. hep-ph/0307113
6. Gehrmann T., and Remiddi E. Nucl. Phys. B 580 (2000) 485. hep-ph/9912329
7. Gehrmann T., Huber T., and Maitre D. Phys. Lett. B 622 (2005) 295. hep-ph/0507061
8. Gehrmann T., et al. Phys. Lett. B 640 (2006) 252. hep-ph/0607185
9. Weinzierl S. JHEP 0303 (2003) 062. hep-ph/0302180
10. Gehrmann-De Ridder A., Gehrmann T., and Heinrich G. Nucl. Phys. B 682 (2004) 265. hep-ph/0311276
11. Huber T., et al. Nucl. Phys. B 740 (2006) 105. hep-ph/0512066
12. Moch S., Uwer P., and Weinzierl S. J. Math. Phys. 43 (2002) 3363. hep-ph/0110083
13. Weinzierl S. J. Math. Phys. 45 (2004) 2656. hep-ph/0402131
14. Kalmykov M.Y., Ward B.F.L., and Yost S.A. JHEP 0711 (2007) 009. arXiv: 0708.0803 [hep-th]
15. Weinzierl S. Comput. Phys. Comm. 145 (2002) 357. math-ph/0201011
16. Bauer C., Frink A., and Kreckel R. (2000). cs.sc/0004015
17. Huber T., and Maître D. Comput. Phys. Comm. 175 (2006) 122. hep-ph/0507094
18. Moch S., and Uwer P. Comput. Phys. Comm. 174 (2006) 759. math-ph/0508008
19. Davydychev A.I., and Tausk J.B. Nucl. Phys. B 397 (1993) 123
20. Broadhurst D.J., Fleischer J., and Tarasov O.V. Z. Phys. C 60 (1993) 287. hep-ph/9304303
21. Tarasov O.V. Phys. Lett. B 638 (2006) 195. hep-ph/0603227
22. Davydychev A.I., and Grozin A.G. Phys. Rev. D 59 (1999) 054023. hep-ph/9809589
23. Jegerlehner F., Kalmykov M.Y., and Veretin O. Nucl. Phys. B 658 (2003) 49. hep-ph/0212319
24. Jegerlehner F., and Kalmykov M.Y. Nucl. Phys. B 676 (2004) 365. hep-ph/0308216
25. Davydychev A.I., and Kalmykov M.Y. Nucl. Phys. B 605 (2001) 266. hep-th/0012189
26. Davydychev A.I., and Kalmykov M.Y. Nucl. Phys. B 699 (2004) 3. hep-th/0303162
27. Schroder Y., and Vuorinen A. JHEP 0506 (2005) 051. hep-ph/0503209
28. Bejdakic E., and Schroder Y. Nucl. Phys. Proc. (Suppl.) 160 (2006) 155. hep-ph/0607006
29. Grozin A.G., Huber T., and Maître D. JHEP 0707 (2007) 033. arXiv:0705.2609 [hep-ph]
30. Argeri M., and Mastrolia P. Int. J. Mod. Phys. A 22 (2007) 4375-4436. arXiv:0707.4037 [hep-ph]
31. Kalmykov M.Y. JHEP 0604 (2006) 056. hep-th/0602028
32. Kalmykov M.Y., Ward B.F.L., and Yost S. JHEP 0702 (2007) 040. hep-th/0612240
33. Kalmykov M.Y., Ward B.F.L., and Yost S.A. JHEP 0710 (2007) 048. arXiv:0707.3654 [hep-th]
34. MATHEMATICA, Copyright by Wolfram Research
35. Takayama N. Japan J. Appl. Math. 6 (1989) 147
36. Gauß C.F. Gesammelte Werke vol. 3 (1823), Teubner, Leipzig
37. Yoshida M. Fuchsian Differential Equations (1987), Vieweg
38. Iwasaki K., et al. From Gauss to Painlevé. A Modern Theory of Special Functions (1991), Friedr. Vieweg & Sohn, Braunschweig
39. V.K.T.H. Koornwinder, Technical report, Utrecht University, 2002
40. Vidūnas R. J. Comput. Appl. Math. 153 (2003) 507
41. Maître D. (2007). hep-ph/0703052
42. Remiddi E., and Vermaseren J.A.M. Int. J. Mod. Phys. A 15 (2000) 725. hep-ph/9905237
43. http://www-theorie.physik.uzh.ch/~maitreda/HypExp/
44. Maître D. Comput. Phys. Comm. 174 (2006) 222. hep-ph/0507152
45. Gluza J., Kajda K., and Riemann T. Comput. Phys. Comm. 177 (2007) 879-893. arXiv:0704.2423 [hep-ph]
46. Gluza J., et al. (2007). arXiv:0707.3567 [hep-ph]
47. Chetyrkin K.G., Misiak M., and Munz M. Nucl. Phys. B 518 (1998) 473. hep-ph/9711266
48. Davydychev A.I., and Tausk J.B. Phys. Rev. D 53 (1996) 7381. hep-ph/9504431
49. Fleischer J., and Kalmykov M.Y. Comput. Phys. Comm. 128 (2000) 531. hep-ph/9907431
50. Davydychev A.I. Phys. Rev. D 61 (2000) 087701. hep-ph/9910224
51. Broadhurst D.J. Z. Phys. C 47 (1990) 115
52. Erdélyi A. Higher Transcendental Functions (1953), McGraw-Hill, New York
53. In: Erdélyi A. (Ed). Tables of Integral Transforms (1954), McGraw-Hill, New York
54. Meijer C.S. Nieuw Arch. Wiskunde (2) 18 (1936) 10
55. Meijer C.S. Proc. Nederl. Akad. Wetensch. 44 (1941) 1062
56. Meijer C.S. Proc. Nederl. Akad. Wetensch. 49 (1946) 344-456 457-469, 632-641, 765-772, 936-943, 1065-1072, 1165-1175
57. Boughezal R., and Czakon M. Nucl. Phys. B 755 (2006) 221. hep-ph/0606232
58. Faisst M., Maierhoefer P., and Sturm C. Nucl. Phys. B 766 (2007) 246. hep-ph/0611244
59. Broadhurst D.J. Eur. Phys. J. C 8 (1999) 311. hep-th/9803091
60. Fleischer J., and Kalmykov M.Y. Phys. Lett. B 470 (1999) 168. hep-ph/9910223