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SOME ASSOCIATION BETWEEN Rα, Rβ AND Rm IN TERMS OF THETA FUNCTIONS

M. P. C. Raksha|B. R. S. Kumar
장전수학회 (Jangjeon Mathematical Society)|2024.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제27권 제4호|pp. 801-807|DOI 10.17777/pjms.2024.27.4.023

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참고문헌

키워드

Theta-functionsq-identitiesModular EquationsCombinatorial-partition theoretic identities
주제분류수학

초록

The authors establish a set of nine new theta-function identities involving Rα, Rβ and Rm, m ∈ Z+ functions, which are based upon a number of q-product identities and Jacobi’s celebrated triple-product identity. These theta function identities depict the interrelationships that exist among theta function identities and combinatorial partitiontheoretic identities.

Abstract

The authors establish a set of nine new theta-function identities involving Rα, Rβ and Rm, m ∈ Z+ functions, which are based upon a number of q-product identities and Jacobi’s celebrated triple-product identity. These theta function identities depict the interrelationships that exist among theta function identities and combinatorial partitiontheoretic identities.

참고문헌 (18)

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관련 논문AI추천

TWO IDENTITIES INVOLVING THETA FUNCTIONS최준상, Getachew Abiye Salilew, Mahendra Pal Chaudhary영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호Some Relationships Between q-Product Identities, Combinatorial Partition Identities and Continued-Fraction IdentitiesH. M. Srivastava, M. P. Chaudhary장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호New 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 제3호Note on Modular relations for the Roger-Ramanujan type identities and representations for Jacobian identity최준상, M.P.Chaudhary영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호New identities for ratios of Ramanujan’s theta functionK. Sushan Bairy, M. S. MAHADEVA NAIKA, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호

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