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On Certain Continued Fractions Related To 3ψ3 Basic Bilateral Hypergeometric Functions

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In this paper, we obtain several new continued fraction expansions for the ratios of the basic bilateral hypergeometric series 3ψ3 with its contigu-ous functions. Further, as special cases of these identities, we generate several classical and some new continued fraction expansions.

Abstract

In this paper, we obtain several new continued fraction expansions for the ratios of the basic bilateral hypergeometric series 3ψ3 with its contigu-ous functions. Further, as special cases of these identities, we generate several classical and some new continued fraction expansions.

참고문헌 (17)

  1. G. E.Andrews, "An Introduction to Ramanujan's "Lost" notebook", Amer. Math. Monthly, 86, pp.89~108 (1979)
  2. W. N. Bailey, "On the basic bilateral hypergeometric series 2Ψ2", Quart. J. Math. (Oxford), 1, pp.194~198 (1950)
  3. N. A. Bhagirathi, "On certain continued fractions and q-series", Math. Stu-dent, 56, pp.97~104 (1988)
  4. N. A. Bhagirathi, "On basic bilateral hypergeometric series and continued fractions", Math. Student, 56, pp.135~141 (1988)
  5. N. A. Bhagirathi, "On certain investigations in q-series and continued frac-tions", Math. Student, 56, pp.158~170 (1988)
  6. S. Bhargava, "On some continued fraction identity of Srinivasa Ramanujan", Proc. Amer. Math. Soc., 92, pp.13~18 (1984)
  7. S. Bhargava, "On some generatliza-tions of Ramanujan's continued fraction identities", Proc. India Acad. Sci., 97, pp.31~43 (1987)
  8. L. Carlitz, "Note on some continued fractions of the Rogers-Ramanujan type", Duke Math. J., 32, pp.713~720 (1965)
  9. R. Y. Denis, "On certain q-series and continued fractions", Math. Student, 44, pp.70~76 (1983)
  10. R. Y. Denis, "On basic hypergeometric functions and continued fractions", Math. Student, 52, pp.129~136 (1984)
  11. R. Y. Denis, "On generalization of continued fraction of gauss", Int. J. Math. and Math. Sci., 13, pp.741~746 (1990)
  12. M. D. Hirschhorn, "A continued fraction of Ramanujan", J. Austral. Math. Soc.(Ser.A), 29, pp.80~86 (1980)
  13. S. Ramanujan, "Notebooks (2 Volumes)" (1970), Tata Institute of Fundamental Re-search
  14. S. Ramanujan, "The "Lost" Notebook and other unpublished papers" (1988), Narosa
  15. L. J. Rogers, "Second Memoir on the expansion of Certain Infinite Products", Proc, London. Math. Soc., 25, pp.318~343 (1894)
  16. B. Srivastava, "Certain basic hypergeometric identities and continued frac-tions associated with Ramanujan", 박사, pp.1985
  17. K. R. Vasuki, "3Ψ3 transformation formula and its applications, Preprint", ~

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