Results 21 to 30 of about 2,181,558 (234)
Congruences with q-generalized Catalan numbers and q-harmonic numbers
, 2022 In this paper, we give some congruences related to q-generalized Catalan numbers, q-harmonic numbers and alternating q-harmonic numbers, using combinatorial identities and some known ...
Gür, Zehra Betül, Ömür, Neşe
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Some extensions of Chu's formulas and further combinatorial identities [PDF]
Mathematica BohemicaWe present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
Said Zriaa, Mohammed Mouçouf
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Some Properties and Generating Functions of Generalized Harmonic Numbers
Mathematics, 2019 In this paper, we introduce higher-order harmonic numbers and derive their relevant properties and generating functions by using an umbral-type method.
Giuseppe Dattoli +3 more
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Generalized harmonic numbers with Riordan arrays [PDF]
, 2008 By observing that the infinite triangle obtained from some generalized harmonic numbers follows a Riordan array, we obtain very simple connections between the Stirling numbers of both kinds and other generalized harmonic numbers. Further, we suggest that
Cheon, Gi-Sang, El-Mikkawy, M.E.A.
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NEW CONGRUENCES WITH THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS
, 2021 In this paper, we give new congruences with the generalized Catalan numbers and harmonic numbers modulo p(2).
Elkhiri, Laid +2 more
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Sums involving generalized harmonic and Daehee numbers
, 2022 In this paper, we establish some sums involving generalized harmonic and Daehee numbers which are derived from the generating functions.
ÖMÜR, NEŞE, Koparal, Sibel
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Generalized Fuzzy Bonferroni Harmonic Mean Operators and Their Applications in Group Decision Making
Journal of Applied Mathematics, 2013 The Bonferroni mean (BM) operator is an important aggregation technique which reflects the correlations of aggregated arguments. Based on the BM and harmonic mean operators, H. Sun and M. Sun (2012) developed the fuzzy Bonferroni harmonic mean (FBHM) and
Jin Han Park, Eun Jin Park
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ON THE CONVERGENCE OF THE EULER HARMONIC SERIES [PDF]
, 2000 The aim oj this article is to study the convergence oj the Euler harmonic series. Firstly, the results concerning the convergence oj the Smaralldache and Erdos harmonic junctions are reviewed Secondly, the Euler harmonic series is proved to be convergent
Tabirca, Tatiana, Tabirca, Sabin
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Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means
Abstract and Applied Analysis, 2010 We answer the question: for α,β,γ∈(0,1) with α+β+γ=1, what are the greatest value p and the least value q, such that the double inequality Lp(a,b)
Yu-Ming Chu, Bo-Yong Long
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
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