A q -logarithmic analogue of Euler’s sine integral

Nobushige Kurokawa; Masato Wakayama

Rendiconti del Seminario Matematico della Università di Padova (2005)

  • Volume: 114, page 51-62
  • ISSN: 0041-8994

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Kurokawa, Nobushige, and Wakayama, Masato. "A $q$-logarithmic analogue of Euler’s sine integral." Rendiconti del Seminario Matematico della Università di Padova 114 (2005): 51-62. <http://eudml.org/doc/108668>.

@article{Kurokawa2005,
author = {Kurokawa, Nobushige, Wakayama, Masato},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {51-62},
publisher = {Seminario Matematico of the University of Padua},
title = {A $q$-logarithmic analogue of Euler’s sine integral},
url = {http://eudml.org/doc/108668},
volume = {114},
year = {2005},
}

TY - JOUR
AU - Kurokawa, Nobushige
AU - Wakayama, Masato
TI - A $q$-logarithmic analogue of Euler’s sine integral
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2005
PB - Seminario Matematico of the University of Padua
VL - 114
SP - 51
EP - 62
LA - eng
UR - http://eudml.org/doc/108668
ER -

References

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  2. [H] O. HÖLDER, Ueber eine transcendente Function. Göttingen Nachrichten, 16 (1886), pp. 514-522. Zbl18.0376.01JFM18.0376.01
  3. [K] A. N. KIRILLOV, Dilogarithm identities, Progr. Theoret. Phys. Suppl., 118 (1995), pp. 61-142. Zbl0894.11052MR1356515
  4. [KK] N. KUROKAWA - S. KOYAMA, Multiple sine functions. Forum Math., 15 (2003), pp. 839-876. Zbl1065.11065MR2010282
  5. [KOW] N. KUROKAWA - H. OCHIAI - M. WAKAYAMA, Multiple trigonometry and zeta funcitons. J. Ramanujan Math. Soc., 17 (2002), pp. 101-113. Zbl0995.11054MR1913896
  6. [KW] N. KUROKAWA - M. WAKAYAMA, Absolute tensor products. Internat. Math. Res. Notices, 5 (2004), pp. 249-260. Zbl1086.11041MR2038715
  7. [S] T. SHINTANI, On a Kronecker limit formula for real quadratic fields. J. Fac. Sci. Univ. Tokyo, 24 (1977), pp. 167-199. Zbl0364.12012MR460283
  8. [We] A. WEIL, Sur une formule classique. J. Math. Soc. Japan, 20 (1968), pp. 400-402. Zbl0174.33902MR224556
  9. [WW] E.T. WHITTAKER - G. N. WATSON, A Course of Modern Analysis, Cambridge Univ. Press (Third ed.) 1920. MR1424469JFM47.0190.17

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