In this article we continue the investigations presented in our previous papers presenting some, for the best of our knowledge, new transformations of the Gauss hypergeometric function.. They have been obtained using only elementary methods and stem from a couple of integrals evaluated in terms of complete elliptic integral of first kind by Legendre in Chapter XXVII, at sections II and III.
Giovanni Mingari Scarpello, D.R. (2018). On a class of new hypergeometric transformations. OPEN JOURNAL OF MATHEMATICAL SCIENCES, 2(1), 84-92 [10.30538/oms2018.0019].
On a class of new hypergeometric transformations
Giovanni Mingari ScarpelloMembro del Collaboration Group
;Daniele Ritelli
Membro del Collaboration Group
2018
Abstract
In this article we continue the investigations presented in our previous papers presenting some, for the best of our knowledge, new transformations of the Gauss hypergeometric function.. They have been obtained using only elementary methods and stem from a couple of integrals evaluated in terms of complete elliptic integral of first kind by Legendre in Chapter XXVII, at sections II and III.File in questo prodotto:
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