On the matrices with the generalized hyperharmonic numbers of order r

DOI10.1142/S1793557118500456zbMath1391.11056OpenAlexW2609390240MaRDI QIDQ4565148

Sibel Koparal, Nese Omur

Publication date: 8 June 2018

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557118500456

zbMATH Keywords

factorization and binomial coefficientthe hyperharmonic number

Mathematics Subject Classification ID

Factorization of matrices (15A23) Sequences and sets (11B99) Matrices, determinants in number theory (11C20)

Related Items (8)

Euler sums of generalized hyperharmonic numbers ⋮ Euler sums of multiple hyperharmonic numbers ⋮ Summation formulas of hyperharmonic numbers with their generalizations ⋮ Unnamed Item ⋮ Euler sums of generalized alternating hyperharmonic numbers ⋮ Some applications on $q$-analog of the generalized hyperharmonic numbers of order $r,$ $ H_{n}^{r}(\alpha )$ ⋮ Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients ⋮ Generalized hyperharmonic number sums with reciprocal binomial coefficients

Cites Work

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• A Stirling like sequence of rational numbers
• A factorization of the symmetric Pascal matrix involving the Fibonacci matrix
• A Stirling Encounter with Harmonic Numbers

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