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# Can Bernoulli polynomials be extended to fractional orders without loosinglosing elementarity?

Can Bernoulli polynomials $B_s(x)$ be extended to fractional $s$ in such a way so that for any given s $s$ the function $B_s(x)$ still could be expressed in elementary functions of $x$?

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# Can Bernoulli polynomials be extended to fractional orders without loosing elementarity?

Can Bernoulli polynomials $B_s(x)$ be extended to fractional $s$ in such a way so that for any given s the function $B_s(x)$ still could be expressed in elementary functions of $x$?