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Modular Transformations for Ramanujan's Tenth Order Mock Theta Functions

Bhaskar Srivastava
경북대학교 자연과학대학 수학과|2005.06|Kyungpook Mathematical Journal|제45권 제2호|pp. 211-220

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Abstract

In this paper we obtain the transformations of the Ramanujan’s tenth order mock theta functions under the modular group generators ! +1 and ! -1/ where q = eit .

참고문헌 (9)

  1. "Proc. Sympos. Pure Math.", 49 2, pp.283~298 (1989)
  2. "Adv. in Math.", pp.60~105 (1991)
  3. "A Brief Introduction to Theta Functions" (1961), Rinehart and WinstonInc.
  4. ",Tenth order mock theta functions in Ramanujan’s "Lost", 136, pp.497~569 (1999)
  5. "Modular transformations of Ramanujan’s fth andseventh order Mock theta functions", 7, pp.193~222 (2003)
  6. "McIntosh,Some eight order Mock theta functions", 62(2), pp.321~335 (2000)
  7. "An account of the Mock theta functions", pp.55~80 (1936)
  8. "Proc. London Math. Soc.", 42 2, pp.274~304 (1937)
  9. "A Course of Modern Analysis" (1952), Cambridge University Press

관련 논문AI추천

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