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Six-variable generalization of reciprocity theorem found in Ramanujan's lost notebook

YUDHISTHIRA JAMUDULIA|S. N. FATHIMA
장전수학회 (Jangjeon Mathematical Society)|2016.10|Advanced Studies in Contemporary Mathematics|제26권 제4호|pp. 693-701

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참고문헌

키워드

Reciprocity theoremJacobi triple productOperator identity
주제분류수학

초록

In this paper, we derive a six variable generalization of Jacobi triple product from three variable reciprocity theorem by parameter augmentation. Further we derive some q-gamma, q-beta and eta-function identities from this identity.

Abstract

In this paper, we derive a six variable generalization of Jacobi triple product from three variable reciprocity theorem by parameter augmentation. Further we derive some q-gamma, q-beta and eta-function identities from this identity.

참고문헌 (19)

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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 제3호On some identities of Ramanujan found in his lost notebookD.D. Somashekara, D. Mamta장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제2호ON SOME PARTIAL THETA FUNCTION IDENTITIES OF RAMANUJAN FOUND IN HIS LOST NOTEBOOKD. D. Somashekara, H. I. Kwon, S. L. Shalini, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호CERTAIN MODULAR RELATIONS FOR REMARKABLE PRODUCT OF THETA-FUNCTIONSK. Sushan Bairy, M. S. MAHADEVA NAIKA, N. P. SUMAN장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제3호ON SOME NEW MODULAR RELATIONS FOR RAMANUJAN'S REMARKABLE PRODUCT OF THETA FUNCTIONSB. HEMANTHKUMAR, M. S. MAHADEVA NAIKA, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호

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