Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
نویسنده
چکیده
A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of number theory, elementary particle physics and theoretical physics. Here we show how one can obtain further interesting identities about certain finite series involving binomial coefficients, harmonic numbers and generalized harmonic numbers by applying the usual differential operator to a known identity. MSC: Primary 11M06; 33B15; 33E20; secondary 11M35; 11M41; 40C15
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