논문KCI 등재
Some Relationships Between q-Product Identities, Combinatorial Partition Identities and Continued-Fraction Identities
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초록
The authors establish a set of four presumably new results which depict the inter- relationships between q-product identities, continued-fraction identities and combi- natorial partition identities. Several closely-related q-identities such as (for example) Jacobi's triple-product identity are also considered.
Abstract
The authors establish a set of four presumably new results which depict the inter- relationships between q-product identities, continued-fraction identities and combi- natorial partition identities. Several closely-related q-identities such as (for example) Jacobi's triple-product identity are also considered.
참고문헌 (10)
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- G. E. Andrews, "Double series representations for Schur's partition function and related identities", J. Combin. Theory Ser. A, 132, pp.102~119 (2015)
- B. C. Berndt, "Ramanujan's Notebooks, Part III" (1991), Springer-Verlag
- B. C. Berndt, "Number Theory in the Spirit of Ramanujan" (2006), American Mathe-matical Society
- M. P. Chaudhary, "Generalization of Ramanujan's identities in terms of q-products and continued fractions", Global J. Sci. Frontier Res. Math. Decision Sci, 12(2), pp.1~9 (2012)
- M. P. Chaudhary, "On certain q-product identities", Preprint, ~ (2015)
- J. Choi, "q-Extensions of a multivariable and multiparam-eter generalization of the Gottlieb polynomials in several variables", Tokyo J. Math, 37, pp.111~125 (2014)
- M. Srivastava, "Some generalizations and basic (or q-) extensions of the Bernoulli, Euler and Genocchi polynomials", Appl. Math. Inform. Sci, 5, pp.390~444 (2011)
- H. M. Srivastava, "Zeta and q-Zeta Functions and Associated Series and Integrals" (2012), Elsevier Science Publishers
- H. M. Srivastava, "Multiple Gaussian Hypergeometric Series" (1985), Halsted Press (Ellis Horwood Limited), John Wiley and Sons
관련 논문AI추천
Note on Modular relations for the Roger-Ramanujan type identities and representations for Jacobian identity최준상, M.P.Chaudhary영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Identities for the Rogers-Ramanujan continued fractionNayandeep Deka Baruah, Pranjal Talukdar대한수학회 · 대한수학회지2025 · 제62권 제1호On 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 제2호Certain identities for a continued fraction of RamanujanK. S. Bairy, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호SOME ASSOCIATION BETWEEN Rα, Rβ AND Rm IN TERMS OF THETA FUNCTIONSB. R. S. Kumar, M. P. C. Raksha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제4호On Certain Continued Fractions Related To 3ψ3 Basic Bilateral Hypergeometric FunctionsAbdulrawf A. A. Kahtan, G. Sharath, K. R. Vasuki장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호
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