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pro vyhledávání: '"Giulia Gugiatti"'
Autor:
Alessio Corti, Giulia Gugiatti
Publikováno v:
Transactions of the American Mathematical Society. 374:8603-8637
For all integers k > 0 k>0 , we prove that the hypergeometric function \[ I ^ k ( α ) = ∑ j = 0 ∞ ( ( 8 k + 4 ) j ) ! j ! ( 2 j ) ! ( ( 2 k + 1 ) j ) ! 2 ( ( 4 k + 1 ) j ) ! α j \widehat {I}_k(\alpha )=\sum _{j=0}^\infty \frac {\bigl ((8k+4)j\b