POWER SERIES WITH SKEW-HARMONIC NUMBERS, DILOGARITHMS, AND DOUBLE INTEGRALS
نویسندگان
چکیده
منابع مشابه
Series with Central Binomial Coefficients, Catalan Numbers, and Harmonic Numbers
We present several generating functions for sequences involving the central binomial coefficients and the harmonic numbers. In particular, we obtain the generating functions for the sequences ( 2n n ) Hn, ( 2n n ) 1 nHn, ( 2n n ) 1 n+1Hn , and ( 2n n ) n m. The technique is based on a special Euler-type series transformation formula.
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ژورنال
عنوان ژورنال: Tatra Mountains Mathematical Publications
سال: 2013
ISSN: 1210-3195
DOI: 10.2478/tmmp-2013-0031