Abstract
In this paper we obtain a convolution identity for the coefficients $B_n(\alpha,\theta,q)$ defined by \[ \sum_{n=-\infty}^{\infty} B_{n}(\alpha,\theta,q) x^{n} = \frac{\prod\limits_{n=1}^{\infty} (1 + 2x q^n \cos \theta + x^2 q^{2n})}{\prod\limits_{n=1}^{\infty} (1 + \alpha q^n xe^{i\theta})}, \] using the well-known Ramanujan’s $_{1}\psi_1$-summation formula. The work presented here complements the works of K.-W. Yang, S. Bhargava, C. Adiga and D. D. Somashekara and of H. M. Srivastava.
Citation
S. Bhargava. D. D. Somashekara. D. Mamta. "A NEW CONVOLUTION IDENTITY DEDUCIBLE FROM THE REMARKABLE FORMULA OF RAMANUJAN." Taiwanese J. Math. 11 (2) 399 - 406, 2007. https://doi.org/10.11650/twjm/1500404697
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