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Article Dans Une Revue International Journal of Number Theory Année : 2016

On finite forms of Bailey's 2ψ2 transformation formulae and their applications

Résumé

In this paper, we study finite forms of Bailey's transformation formulae and therefrom, we deduce the Bailey's transformation formulae. Further, we derive finite forms of the complete mock theta functions of second order. Also we give a simple proof of one of Bailey's transformation formulae and present some applications.
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Dates et versions

hal-04463456 , version 1 (17-02-2024)

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Abdelmejid Bayad, D. Somashekara, K. Narasimha Murthy. On finite forms of Bailey's 2ψ2 transformation formulae and their applications. International Journal of Number Theory, 2016, 12 (08), pp.2189-2200. ⟨10.1142/S1793042116501323⟩. ⟨hal-04463456⟩
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