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Arbitrary polarization control with a segmented APPLE-II undulator. [PDF]
Inaba K +11 more
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Rivalry between pitch and timbre in auditory stream segregation. [PDF]
Jhang GY +4 more
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Series involving central binomial coefficients and higher-order harmonic numbers
Zhi-Wei Sun, Yajun Zhou
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Contactless Inductive Sensors Using Glass-Coated Microwires. [PDF]
Panina LV +5 more
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Identities on harmonic and q-harmonic number sums
Afrika Matematika, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Generalized Harmonic Numbers
2021For three positive integers a, b and n, let \(H_{a,b}(n)\) be the sum of the reciprocals of the first n terms of arithmetic progression \(\{ ak+b : k=0,1, \ldots \} \) and let \(v_{a,b} (n)\) be the denominator of \(H_{a,b}(n).\) In this paper, we prove that for two coprime positive integers a and b, (i) if p is a prime with \(p\not \mid a\), then the ...
Yong-Gao Chen, Bing-Ling Wu
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Certain summation formulas involving harmonic numbers and generalized harmonic numbers
Applied Mathematics and Computation, 2011New identities about certain finite or infinite series involving harmonic numbers and generalized harmonic numbers are established.
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1989
The problem of finding closed forms for a summation involving harmonic numbers is considered. Solutions for ∑ i n =1P(i)H i (k) , where p(i) is a polynomial, and ∑ i n =1 Hi/(i+m), where m is an integer, are given. A method to automate these results is presented.
Dominic Y. Savio +2 more
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The problem of finding closed forms for a summation involving harmonic numbers is considered. Solutions for ∑ i n =1P(i)H i (k) , where p(i) is a polynomial, and ∑ i n =1 Hi/(i+m), where m is an integer, are given. A method to automate these results is presented.
Dominic Y. Savio +2 more
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Some Results for Generalized Harmonic Numbers
Integers, 2009AbstractIn this paper, we discuss the properties of a class of generalized harmonic ...
Feng, Congjiao, Zhao, Fengzhen
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