Integral Representations of q-analogues of the Hurwitz Zeta Function

• Autores: Masato Wakayama, Yoshinori Yamasaki
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 149, Nº 2, 2006, págs. 141-154
• Idioma: inglés
• DOI: 10.1007/s00605-005-0369-1
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• Resumen

  • Two integral representations of q-analogues of the Hurwitz zeta function are established. Each integral representation allows us to obtain an analytic continuation including also a full description of poles and special values at non-positive integers of the q-analogue of the Hurwitz zeta function, and to study the classical limit of this q-analogue. All the discussion developed here is entirely different from the previous work in [5].