Research Article

Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers

Volume: 51 Number: 3 June 1, 2022
TR EN

Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers

Abstract

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 congruences.

Keywords

References

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  7. [7] V.J.W. Guo and S-D.Wang, Factors of sums involving q−binomial coefficients and powers of q−integers, J. Difference Equ. Appl. 23 (10), 1670-1679, 2017.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 1, 2022

Submission Date

February 25, 2021

Acceptance Date

November 14, 2021

Published in Issue

Year 2022 Volume: 51 Number: 3

APA
Ömür, N., Gür, Z. B., & Koparal, S. (2022). Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers. Hacettepe Journal of Mathematics and Statistics, 51(3), 712-724. https://doi.org/10.15672/hujms.886839
AMA
1.Ömür N, Gür ZB, Koparal S. Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers. Hacettepe Journal of Mathematics and Statistics. 2022;51(3):712-724. doi:10.15672/hujms.886839
Chicago
Ömür, Neşe, Zehra Betül Gür, and Sibel Koparal. 2022. “Congruences With $q$-Generalized Catalan Numbers and $q$-Harmonic Numbers”. Hacettepe Journal of Mathematics and Statistics 51 (3): 712-24. https://doi.org/10.15672/hujms.886839.
EndNote
Ömür N, Gür ZB, Koparal S (June 1, 2022) Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers. Hacettepe Journal of Mathematics and Statistics 51 3 712–724.
IEEE
[1]N. Ömür, Z. B. Gür, and S. Koparal, “Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 3, pp. 712–724, June 2022, doi: 10.15672/hujms.886839.
ISNAD
Ömür, Neşe - Gür, Zehra Betül - Koparal, Sibel. “Congruences With $q$-Generalized Catalan Numbers and $q$-Harmonic Numbers”. Hacettepe Journal of Mathematics and Statistics 51/3 (June 1, 2022): 712-724. https://doi.org/10.15672/hujms.886839.
JAMA
1.Ömür N, Gür ZB, Koparal S. Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers. Hacettepe Journal of Mathematics and Statistics. 2022;51:712–724.
MLA
Ömür, Neşe, et al. “Congruences With $q$-Generalized Catalan Numbers and $q$-Harmonic Numbers”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 3, June 2022, pp. 712-24, doi:10.15672/hujms.886839.
Vancouver
1.Neşe Ömür, Zehra Betül Gür, Sibel Koparal. Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers. Hacettepe Journal of Mathematics and Statistics. 2022 Jun. 1;51(3):712-24. doi:10.15672/hujms.886839

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