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A simple proof of Ramanujan's reciprocity theorem
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In this note, we give a simple proof of Ramanujan's reciprocity theorem using q-binomial theorem.
Abstract
In this note, we give a simple proof of Ramanujan's reciprocity theorem using q-binomial theorem.
관련 논문AI추천
On the reciprocity theorem of Ramanujan and its GeneralizationsD. D. Somashekara, K. N. Murthy, S. L. Shalini장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호On some applications of the new forms of the reciprocity theoremsD. D. Somashekara, S. L. Shalini장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제3호Six-variable generalization of reciprocity theorem found in Ramanujan's lost notebookS. N. FATHIMA, YUDHISTHIRA JAMUDULIA장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제4호On certain Ramanujan's modular equations of degree 7K. R. Vasuki, R. G. veeresha장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호On some identities of Ramanujan found in his lost notebookD.D. Somashekara, D. Mamta장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제2호Certain identities for a continued fraction of RamanujanK. S. Bairy, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호
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