논문KCI 등재
On Certain Continued Fractions Related To 3ψ3 Basic Bilateral Hypergeometric Functions
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
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)
- G. E.Andrews, "An Introduction to Ramanujan's "Lost" notebook", Amer. Math. Monthly, 86, pp.89~108 (1979)
- W. N. Bailey, "On the basic bilateral hypergeometric series 2Ψ2", Quart. J. Math. (Oxford), 1, pp.194~198 (1950)
- N. A. Bhagirathi, "On certain continued fractions and q-series", Math. Stu-dent, 56, pp.97~104 (1988)
- N. A. Bhagirathi, "On basic bilateral hypergeometric series and continued fractions", Math. Student, 56, pp.135~141 (1988)
- N. A. Bhagirathi, "On certain investigations in q-series and continued frac-tions", Math. Student, 56, pp.158~170 (1988)
- S. Bhargava, "On some continued fraction identity of Srinivasa Ramanujan", Proc. Amer. Math. Soc., 92, pp.13~18 (1984)
- S. Bhargava, "On some generatliza-tions of Ramanujan's continued fraction identities", Proc. India Acad. Sci., 97, pp.31~43 (1987)
- L. Carlitz, "Note on some continued fractions of the Rogers-Ramanujan type", Duke Math. J., 32, pp.713~720 (1965)
- R. Y. Denis, "On certain q-series and continued fractions", Math. Student, 44, pp.70~76 (1983)
- R. Y. Denis, "On basic hypergeometric functions and continued fractions", Math. Student, 52, pp.129~136 (1984)
- R. Y. Denis, "On generalization of continued fraction of gauss", Int. J. Math. and Math. Sci., 13, pp.741~746 (1990)
- M. D. Hirschhorn, "A continued fraction of Ramanujan", J. Austral. Math. Soc.(Ser.A), 29, pp.80~86 (1980)
- S. Ramanujan, "Notebooks (2 Volumes)" (1970), Tata Institute of Fundamental Re-search
- S. Ramanujan, "The "Lost" Notebook and other unpublished papers" (1988), Narosa
- L. J. Rogers, "Second Memoir on the expansion of Certain Infinite Products", Proc, London. Math. Soc., 25, pp.318~343 (1894)
- B. Srivastava, "Certain basic hypergeometric identities and continued frac-tions associated with Ramanujan", 박사, pp.1985
- K. R. Vasuki, "3Ψ3 transformation formula and its applications, Preprint", ~
관련 논문AI추천
On certain continued fraction expansions for ratios of basic hypergeometric seriesK. R. Rajanna, K. R. Vasuki장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2007 · 제10권 제2호Resonance of Continued Fractions Related to 2ψ2 Basic Bilateral Hypergeometric SeriesPankaj Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호On certain transformations of basic hypergeometric functionsR. Y. Denis, S. N. Singh, S. P. Singh장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2007 · 제10권 제2호Certain new WP-Bailey pairs and basic hypergeometric series identitiesS. Ahmad Ali, Sayyad Nadeem Hasan Rizvi대한수학회 · 대한수학회논문집2017 · 제32권 제4호A Q-analogue of hypergeometric series by Q-exponential functionsLAXMI MAJHI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제4호A new summation formula for basic bilateral hypergeometric series by 2φ2-exponential operator techniqueADITYA AGNIHOTRI, S. Ahmad Ali장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제3호
이 간행물의 다른 논문 (13건)
VON NEUMANN KERNEL OF A CONNECTED LOCALLY COMPACT GROUP, REVISITEDAlexander I. Shternpp. 313-318On Certain New Modular Relations for the Rogers-Ramanujan type functions of order TwelveK. R. Vasuki, P. S. Guruprasadpp. 319-333SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS최종성, 김영희, 김태균pp. 335-341OSCILLATING SUPERSONIC DELTA WINGS WITH CURVED LEADING EDGESAsha Crasta, S. A. Khanpp. 359-372ON THE STUFE, UNIT STUFE AND PYTHAGORAS NUMBER OF THE RING OF INTEGERS MODULO nH.N. Ramaswamy, R. Siddaramupp. 373-388
