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Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values
Bell polynomials Euler's constant zeta values
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2010/11/22
In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(\gamma, 1! (2a+1)\zeta(2), 2!\zet...
Congruences on the Bell polynomials and the derangement polynomials
Bell polynomials Derangement polynomials Stirling numbers Congruences
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2010/12/7
In this note, by the umbra calculus method, the Sun and Zagier’s congruences involving the Bell numbers and the derangement numbers are generalized to the polynomial cases. Some special congruences ar...