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Some Result on Analogous to Ramanujan’s Remarkable Product of Theta Function
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In this paper, we study the analogous of Ramanujan's Remarkable product of theta-function of degree 9 and their explicit values.
Abstract
In this paper, we study the analogous of Ramanujan's Remarkable product of theta-function of degree 9 and their explicit values.
참고문헌 (11)
- B. C. Berndt, "Ramanujan's remarkable product of the theta-function", Proc. Edinburgh Math. Soc, 40, pp.583~612 (1997)
- B. C. Berndt, "Ramanujan's Notebooks, Part III" (1991), Springer-Verlag
- B. C. Berndt, "Ramanujan's Notebooks, Part V" (1998), Springer-Verlag
- M. S. Mahadeva Naika, "On some new general theorems for the explicit evaluations of Ramanujan's remarkable product of theta-function", Ramanujan J, 15(3), pp.349~366 (2008)
- M. S. Mahadeva Naika, "On some new explicit evalu-ations of Ramanujan's remarkable product of theta-function", South East Asian J. Math. Math. Sci, 5(1), pp.107~119 (2006)
- M. S. M. Naika, "Explicit evaluations of Ramanujan's remarkable product of theta-function", Advanced Studies in Contemporary Mathematics, 13(2), pp.235~254 (2006), 장전수학회
- M. S. Mahadeva Naika, "On some remarkable product of theta-function", Aust. J. Math. Anal. Appl, 5(1), pp.1~15 (2008)
- M. S. Mahadeva Naika, "General Formulas for Explicit Evaluations of Ramanujan’s Cubic Continued Fraction", Kyungpook Mathematical Journal, 49(3), pp.435~450 (2009), 경북대학교 자연과학대학 수학과
- M. S. Mahadeva Naika, "On Some Explicit evaluation of the ratios of Ramanujan's theta-function", Bull. Allahabad Math. Soc, 29(1), pp.53~86 (2014)
- Nipen Saikia, "A Product of Theta-Functions Analogous to Ramanujan's Remarkable Product of Theta-Functions and Applications, Hindawi Publishing Corporation", Journal of Mathematics (2013)
- S. Ramanujan, "Notebooks (2 volumes)" (1957), Tata Institute of Fundamental Research
관련 논문AI추천
On some new modular equations of degree 9 and their applicationsM. Manjunatha, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호New ramanujan’s remarkable product of Theta-function and their explicit evaluationsB. N. DHARMENDRA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제4호ON 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 제3호Explicit evaluations of Ramanujan's remarkable product of theta-functionM. C. Maheshkumar, M. S. M. Naika장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제2호New Modular Relations for the Ratio’s of Ramanujan Function χ(−q) of degree 9B. N. DHARMENDRA, P. S. Guruprasad장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호On certain Ramanujan's modular equations of degree 7K. R. Vasuki, R. G. veeresha장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호
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