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math.NT2017
On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier-Legendre expansions
John M. Campbell, Jacopo D'Aurizio, Jonathan Sondow
Motivated by our previous work on hypergeometric functions and the parbelos constant, we perform a deeper investigation on the interplay among generalized complete elliptic integra…
math.NT2017★ 1 cited
Surprising identities for the hypergeometric 4F3 function
Jacopo D'Aurizio, Sabino Ditrani
A convolution approach leading to an explicit computation of a value of a 4F3 function is outlined. We also investigate about the role of the dilogarithm reflection formula, leadin…