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Some Theta-Function Identities Related to Jacobi's Triple-Product Identity

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2018

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
The main object of this paper is to present some q-identities involving some of the theta functions of Jacobi and Ramanujan. These q-identities reveal certain relationships among three of the theta-type functions which arise from the celebrated Jacobi's triple-product identity in a remarkably simple way. The results presented in this paper are motivated by some recent works by Chaudhary et al. (see [4] and [5]) and others (see, for example, [1] and [13]).
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REFERENCES

References: 

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REFERENCES 9
[10] S. Ramanujan, Notebooks, Vols. 1 and 2, Tata Institute of Fundamental Research,
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