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A comprehensive study of second order mock theta functions

Bhaskar Srivastava
대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회보 (Bulletin of the KMS)|제42권 제4호|pp. 889-900

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Abstract

We consider the second order mock theta functions defined by McIntosh and dene generalized functions. We give integralrepresentation and multibasic expansion of these functions. We alsoshow that they are F_q-functions.

참고문헌 (7)

  1. "Hecke Modular forms and the Kac-Peterson identities", 283, pp.451~458 (1984)
  2. "The continued fractions found in the Unorganised portions of Ramanujan's notebooks", memoir(477) (1992)
  3. "Tenth order mock theta functions in Ramanujan's", 136, pp.497~569 (1999)
  4. "Some eight order mock theta functions", 62(2), pp.321~335 (2000)
  5. "Second order mock theta functionsubmitted to Canad.." (2004)
  6. Bhaskar Srivastava, "An application of the constant term method to Ramanujan's mock theta functions accepted for publication."
  7. C. Truesdell, "An essay toward a unified theory of special functions" (1948), Princeton University Press Princenton

관련 논문AI추천

Partial second order mock theta functions, their expansions and Pad\'e approximantsBhaskar Srivastava대한수학회 · 대한수학회지2007 · 제44권 제4호Asymptotic Behaviour of Another Second Order Mock Theta FunctionBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호Certain relations for mock theta functions of order eightMaheshwar Pathak, Pankaj Srivastava대한수학회 · 대한수학회논문집2009 · 제24권 제4호New indefinite theta series expressions for some even-order mock theta functionsQiuxia Hu, Zeya Jia대한수학회 · 대한수학회보2025 · 제62권 제6호Modular Transformations for Ramanujan's Tenth Order Mock Theta FunctionsBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호A Note on Certain Properties of Mock Theta Functions of Order EightAnwar Jahan Wahidi, Pankaj Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호

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