EN
Several recurrence relations and identities on generalized derangement numbers
Abstract
In the paper, with aid of generating functions, the authors present several recurrence relations and identities for generalized derangement numbers involving generalized harmonic numbers and the Stirling numbers of the first kind.
Keywords
Kaynakça
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- [2] J. Choi and H. M. Srivastava, Some summation formulas involving harmonic numbers and generalized harmonic numbers, Math. Comput. Modelling 54 (2011), 2220-2234; available online at https://doi.org/10.1016/j.mcm.2011.05.032.
- [3] L. Comtet, Advanced Combinatorics: The Art of Finite and Infinite Expansions, Revised and Enlarged Edition, D. Reidel Publishing Co., 1974; available online at https://doi.org/10.1007/978-94-010-2196-8.
- [4] G. Dattoli, S. Licciardi, E. Sabia, and H. M. Srivastava, Some properties and generating functions of generalized harmonic numbers, Mathematics 7 (2019), no. 4, Article No. 577; available online at https://doi.org/10.3390/math7070577.
- [5] Ö. Duran, N. Ömür, and S. Koparal, On sums with generalized harmonic, hyperharmonic and special numbers, Miskolc Math. Notes 21 (2020), no. 2, 791-803; available online at https://doi.org/10.18514/MMN.2020.3458.
- [6] C.-J. Feng and F.-Z. Zhao, Some results for generalized harmonic numbers, Integers 9 (2009), no. 5, 605?619; available online at https://doi.org/10.1515/INTEG.2009.048.
- [7] A. Gertsch, Nombres harmoniques généralisés, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), no. 1, 7-10; available online at https://doi.org/10.1016/S0764-4442(97)80094-8. (French)
- [8] R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics: A Foundation for Computer Science, Addison- Wesley Publishing Company, Reading, MA, 1994.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Haziran 2022
Gönderilme Tarihi
29 Eylül 2021
Kabul Tarihi
24 Nisan 2022
Yayımlandığı Sayı
Yıl 2022 Cilt: 5 Sayı: 2
APA
Dağlı, M. C., & Qi, F. (2022). Several recurrence relations and identities on generalized derangement numbers. Results in Nonlinear Analysis, 5(2), 185-190. https://doi.org/10.53006/rna.1002272
AMA
1.Dağlı MC, Qi F. Several recurrence relations and identities on generalized derangement numbers. RNA. 2022;5(2):185-190. doi:10.53006/rna.1002272
Chicago
Dağlı, Muhammet Cihat, ve Feng Qi. 2022. “Several recurrence relations and identities on generalized derangement numbers”. Results in Nonlinear Analysis 5 (2): 185-90. https://doi.org/10.53006/rna.1002272.
EndNote
Dağlı MC, Qi F (01 Haziran 2022) Several recurrence relations and identities on generalized derangement numbers. Results in Nonlinear Analysis 5 2 185–190.
IEEE
[1]M. C. Dağlı ve F. Qi, “Several recurrence relations and identities on generalized derangement numbers”, RNA, c. 5, sy 2, ss. 185–190, Haz. 2022, doi: 10.53006/rna.1002272.
ISNAD
Dağlı, Muhammet Cihat - Qi, Feng. “Several recurrence relations and identities on generalized derangement numbers”. Results in Nonlinear Analysis 5/2 (01 Haziran 2022): 185-190. https://doi.org/10.53006/rna.1002272.
JAMA
1.Dağlı MC, Qi F. Several recurrence relations and identities on generalized derangement numbers. RNA. 2022;5:185–190.
MLA
Dağlı, Muhammet Cihat, ve Feng Qi. “Several recurrence relations and identities on generalized derangement numbers”. Results in Nonlinear Analysis, c. 5, sy 2, Haziran 2022, ss. 185-90, doi:10.53006/rna.1002272.
Vancouver
1.Muhammet Cihat Dağlı, Feng Qi. Several recurrence relations and identities on generalized derangement numbers. RNA. 01 Haziran 2022;5(2):185-90. doi:10.53006/rna.1002272
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