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http://dx.doi.org/10.5831/HMJ.2016.38.4.809

NOTE ON SOME CHARACTER FORMULAS  

Chaudhary, Mahendra Pal (Former Researcher, Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, JMI)
Chaudhary, Sangeeta (School of Computational & Integrative Sciences, Jawaharlal Nehru University)
Choi, Junesang (Department of Mathematics, Dongguk University)
Publication Information
Honam Mathematical Journal / v.38, no.4, 2016 , pp. 809-818 More about this Journal
Abstract
Chaudhary and Choi [7] presented 14 identities which reveal certain interesting interrelations among character formulas, combinatorial partition identities and continued partition identities. In this sequel, we aim to give slightly modified versions for 8 identities which are chosen among the above-mentioned 14 formulas.
Keywords
Jacobi's triple product identity; character formula; q-Product identities; continued-fraction identities; combinatorial partition identities;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 G. E. Andrews, K. Bringman and K. Mahlburg, Double series representations for Schur's partition function and related identities, J. Combin. Theory Ser. A 132 (2015), 102-119.   DOI
2 B. C. Berndt, Ramanujan's Notebooks, Part III, Springer-Verlag, Berlin, Heidelberg and New York, 1991.
3 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) (2012), 53-60.
4 M. P. Chaudhary, Generalization for character formulas in terms of continued fraction identities, Malaya J. Mat. 1(1) (2014), 24-34.
5 M. P. Chaudhary, Some relationships between q-product identities, combinatorial partition identities and continued-fractions identities III, Pacific J. Appl. Math. 7(2) (2015), 87-95.
6 M. P. Chaudhary and J. Choi, Note on modular relations for Roger-Ramanujan type identities and representations for Jacobi identities, East Asian Math. J. 31(5) (2015), 659-665.   DOI
7 M. P. Chaudhary and J. Choi, Certain identities associated with character formulas, continued fraction and combinatorial partition identities, East Asian Math. J. 32(5) (2016), 609-619.   DOI
8 A. Folsom, Kac-Wakimoto characters and universal mock theta functions, Trans. Amer. Math. Soc. 363(1) (2011), 439-455.   DOI
9 H. M. Srivastava and M. P. Chaudhary, Some relationships between q-product identities, combinatorial partition identities and continued-fractions identities, Adv. Stud. Contemporary Math. 25(3) (2015), 265-272.
10 H. M. Srivastava and J. Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Science Publishers, Amsterdam, London and New York, 2012.