1 citations · 2 across the 5 of their papers we have counts for
5 papers
On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums
Marco Cantarini, Jacopo D'Aurizio
In this work we continue the investigation about the interplay between hypergeometric functions and Fourier-Legendre () series expansions. In the section "Hypergeometr…
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…
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…
A generalization of the Shafer-Fink inequality
Jacopo D'Aurizio
In this article we show a tecnique based on the Weierstrass product for the sine and cosine function and the bisection formula for the cotangent function that leads to a generaliza…
A proof of a simple conjecture about harmonic numbers
Jacopo D'Aurizio
We prove that, for any prime number , the set of natural numbers such that is finite.