1Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India
American Journal of Mathematical Analysis.
2014,
Vol. 2 No. 3, 36-44
DOI: 10.12691/ajma-2-3-2
Copyright © 2014 Science and Education PublishingCite this paper: Adiga Chandrashekar, Nasser Abdo Saeed Bulkhali. Modular Relations for the Sextodecic Analogues of the Rogers-Ramanujan Functions with its Applications to Partitions.
American Journal of Mathematical Analysis. 2014; 2(3):36-44. doi: 10.12691/ajma-2-3-2.
Correspondence to: Adiga Chandrashekar, Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India. Email:
c_adiga@hotmail.comAbstract
In his Ph.D. thesis, C. Gugg considered four functions of order 16 that are analogues of the Rogers-Ramanujan functions and established 12 modular relations involving these functions. In this paper, we obtain 16 new modular relations for these functions. Furthermore, we give partition theoretic interpretations for some of our modular relations.
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