Results 41 to 50 of about 95 (80)
Euler sums of generalized hyperharmonic numbers
, 2017 The generalized hyperharmonic numbers $h_n^{(m)}(k)$ are defined by means of the multiple harmonic numbers. We show that the hyperharmonic numbers $h_n^{(m)}(k)$ satisfy certain recurrence relation which allow us to write them in terms of classical harmonic numbers.
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Integral representation for Euler sums of hyperharmonic numbers
, 2020 In this short paper, we derive an integral representation for Euler sums of hyperharmonic numbers. We use results established by other authors to then show that the integral has a closed-form in terms of zeta values and Stirling numbers of the first kind.
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Computation and theory of Euler sums of generalized hyperharmonic numbers
Comptes Rendus. Mathématique, 2018 Recently, Dil and Boyadzhiev [10] proved an explicit formula for the sum of multiple harmonic numbers whose indices are the sequence ( { 0 }
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About the Non-Integer Property of Hyperharmonic Numbers
, 2008 7 pages Accepted in Annales Univ. Sci.
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Exponential generating function of hyperharmonic numbers indexed by arithmetic progressions
Open Mathematics, 2013 Mező István
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Generalized properties of degenerate hyperharmonic numbers
Journal of Mathematics and Computer ScienceA. Al e'damat +4 more
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Summation formulas of q-hyperharmonic numbers [PDF]
Afrika Matematika, 2021 Afrika ...
Takao Komatsu, Rusen Li
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On Evaluations of Euler-Type Sums of Hyperharmonic Numbers [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 We give explicit evaluations of the linear and non-linear Euler sums of hyperharmonic numbers $h_{n}^{\left( r\right) }$ with reciprocal binomial coefficients. These evaluations enable us to extend closed form formula of Euler sums of hyperharmonic numbers to an arbitrary integer $r$.
Mümün Can, Ayhan Dil
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