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Certain relations for mock theta functions of order eight

Maheshwar Pathak|Pankaj Srivastava
대한수학회 (The Korean Mathematical Society)|2009.10|대한수학회논문집 (Communications of the KMS)|제24권 제4호|pp. 629-640

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참고문헌

키워드

basic hypergeometric seriesmock theta functionscontinued fractions
주제분류수학

초록

The aim of the present paper is to establish certain relations for partial mock theta functions and mock theta functions of order eight with other partial mock theta functions and mock theta functions of order two, six, eight and ten respectively.

Abstract

The aim of the present paper is to establish certain relations for partial mock theta functions and mock theta functions of order eight with other partial mock theta functions and mock theta functions of order two, six, eight and ten respectively.

참고문헌 (12)

  1. R. P. Agarwal, "Resonance of Ramanujan’s Mathematics II" (1996), New Age International Pvt. Ltd.
  2. R. P. Agarwal, "An attempt towards presenting an unified theory for mock theta functions", Proc. Int. Conf. SSFA, 1, pp.11~19 (2001)
  3. R. P. Agarwal, "Pade approximants, continued fractions and Heine’s q-hypergeometric series", J. Math. Phys. Sci., 26(3), pp.281~290 (1992)
  4. G. E. Andrew, "Ramanujan’s ‘Lost’ Notebook VII: The sixth order mock theta functions", Adv. Math., 89, pp.60~105 (1991)
  5. Y. S. Choi, "Tenth order mock theta functions in Ramanujan’s lost notebook", Invent Math., 136, pp.497~569 (1999)
  6. R. Y. Denis, "On certain relation connecting mock theta functions", Ital. J. Pure Appl. Math., 19, pp.55~60 (2006)
  7. B. Gordon, "Some eight order mock theta functions", J. Lond. Math. Soc., 62, pp.321~335 (2000)
  8. S. Ramanujan, "The Lost Notebook and Other Unpublished Papers" (1988), Narosa Publishing House
  9. S. N. Singh, "Basic hypergeometric series and continued fractions", Math. Student, 56, pp.91~96 (1988)
  10. A. K. Srivastava, "On partial sum of mock theta functions of order three", Proc. Indian Acad. Sci. Math. Sci., 107, pp.1~12 (1997)
  11. B. Srivastava, "Ramanujan’s mock theta functions", Math. J. Okayama Univ., 47(1), pp.163~174 (2005)
  12. Bhaskar Srivastava, "Partial second order mock theta functions, their expansions and Pad\'e approximants", 대한수학회지, 44(4), pp.767~777 (2007), 대한수학회

관련 논문AI추천

A Note on Certain Properties of Mock Theta Functions of Order EightAnwar Jahan Wahidi, Pankaj Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호New indefinite theta series expressions for some even-order mock theta functionsQiuxia Hu, Zeya Jia대한수학회 · 대한수학회보2025 · 제62권 제6호The Fourth and Eighth Order Mock Theta FunctionsBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호On Certain New Modular Relations for the Rogers-Ramanujan type functions of order TwelveK. R. Vasuki, P. S. Guruprasad장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호A comprehensive study of second order mock theta functionsBhaskar Srivastava대한수학회 · 대한수학회보2005 · 제42권 제4호On certain Ramanujan's modular equations of degree 7K. R. Vasuki, R. G. veeresha장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호

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