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http://dx.doi.org/10.5831/HMJ.2017.39.3.379

TWO NEW RELATIONS BETWEEN Q-PRODUCT IDENTITIES, THETA FUNCTION IDENTITIES AND COMBINATORIAL PARTITION IDENTITIES  

Chaudhary, M.P. (International Scientific Research and Welfare Organization)
Ashine, Ahmed Buseri (Department of Mathematics, College of Natural and Computational Sciences Madda Walabu University)
Wakene, Feyissa Kaba (Department of Mathematics, College of Natural and Computational Sciences Madda Walabu University)
Publication Information
Honam Mathematical Journal / v.39, no.3, 2017 , pp. 379-399 More about this Journal
Abstract
The objective of this research article is to establish two relationships between q-product identities, theta function identities and combinatorial partition identities, using elementary results.
Keywords
q-product identities; combinatorial partition identities; theta function identities and Jacob's triple product identities;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 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.
2 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
3 B. C. Berndt, Ramanujan's Notebooks, Part III, Springer-Verlag, Berlin, Heidelberg and New York, 1991.
4 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.
5 N. D. Baruah and J. Bora, Modular relations for the nonic analogues of the Rogers Ramanujan functions with applications to partitions, J. Number Thy.128(2008), 175-206.   DOI
6 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.
7 M. P. Chaudhary, Generalization for character formulas in terms of continued fraction identities, Malaya J. Mat. 1(1)(2014), 24-34.
8 M. P. Chaudhary, Some relationships between q -product identities, combinatorial partition identities and continued-fractions identities III, Pacic J. Appl. Math. 7(2)(2015), 87-95.
9 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
10 M. P. Chaudary and J. Choi, Certain identities associated witj character formulas, continued fraction and combinatorial partition identities, East Asian Math.J.32(5)(2016), 609-619.   DOI
11 C.Adiga, T. Kim, M.S. Mahadeva Naika and H.S. Madhusudhan,On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions, Indian J. Pure Appl. Math. 35(9)(2004), 1047-1062.
12 M. S. Mahadeva Nakia, K. Sushan Bairy and N. P. Suman, Certain modular relations for remarkable product of theta- functions, Proc. Jangeon Math. Soc. 17(3)(2014), 317-331.