New formulas involving Bernoulli and Stirling numbers of both kinds
Fuente:
arXiv
Saved in:
| Main Author: | Farhi, Bakir |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
by: Qi, Feng
Published: (2014)
by: Qi, Feng
Published: (2014)
$q$-analogues of sums of consecutive powers of natural numbers and extended Carlitz $q$-Bernoulli numbers and polynomials
by: Farhi, Bakir
Published: (2025)
by: Farhi, Bakir
Published: (2025)
Combinatorial identities related to degenerate Stirling numbers of the second kind
by: Kim, Taekyun, et al.
Published: (2025)
by: Kim, Taekyun, et al.
Published: (2025)
A polynomial approach to Carlitz's $q$-Bernoulli numbers
by: Mouzaia, Mohamed, et al.
Published: (2025)
by: Mouzaia, Mohamed, et al.
Published: (2025)
Probabilistic degenerate Stirling numbers of the first kind and their applications
by: Kim, Taekyun, et al.
Published: (2024)
by: Kim, Taekyun, et al.
Published: (2024)
Identities between polynomials related to Stirling and harmonic numbers
by: Kellner, Bernd C.
Published: (2012)
by: Kellner, Bernd C.
Published: (2012)
Probabilistic multi-Stirling numbers of the second kind and probabilistic multi-Lah numbers
by: Kim, Taekyun, et al.
Published: (2024)
by: Kim, Taekyun, et al.
Published: (2024)
On refinements of two-term Machin-like formulas
by: Farhi, Bakir
Published: (2026)
by: Farhi, Bakir
Published: (2026)
A New Expression for the Bernoulli Numbers and its Applications
by: Kargın, Levent, et al.
Published: (2026)
by: Kargın, Levent, et al.
Published: (2026)
On a kind of generilized multi-harmonic sum
by: Wang, Jiaqi, et al.
Published: (2024)
by: Wang, Jiaqi, et al.
Published: (2024)
Stirling number and periodic points
by: Miska, Piotr, et al.
Published: (2021)
by: Miska, Piotr, et al.
Published: (2021)
Degenerate Algorithms for degenerate Bernoulli and Euler numbers
by: Kim, Taekyun, et al.
Published: (2026)
by: Kim, Taekyun, et al.
Published: (2026)
Logarithms and Stirling numbers associated with delta series
by: Kim, Dae san, et al.
Published: (2026)
by: Kim, Dae san, et al.
Published: (2026)
Generalization of Ramanujan's formula for sums of half-integer powers of consecutive integers via formal Bernoulli series
by: Alekseyev, Max A., et al.
Published: (2025)
by: Alekseyev, Max A., et al.
Published: (2025)
The joy of multisection: elementary approaches to Ramanujan's lacunary identities for Bernoulli numbers
by: Chavan, Parth, et al.
Published: (2025)
by: Chavan, Parth, et al.
Published: (2025)
The smallest denominator not contained in a unit fraction decomposition of $1$ with fixed length
by: van Doorn, Wouter, et al.
Published: (2025)
by: van Doorn, Wouter, et al.
Published: (2025)
Generalized Euler numbers and ordered set partitions
by: Sagan, Bruce E.
Published: (2025)
by: Sagan, Bruce E.
Published: (2025)
Degenerate Eulerian polynomials and numbers
by: Kim, Taekyun, et al.
Published: (2024)
by: Kim, Taekyun, et al.
Published: (2024)
Connections between certain numbers related to derangements and $r$-permutations
by: Miska, Piotr, et al.
Published: (2024)
by: Miska, Piotr, et al.
Published: (2024)
A lower bound for the number of Egyptian fractions
by: Bettin, Sandro, et al.
Published: (2025)
by: Bettin, Sandro, et al.
Published: (2025)
Analytic aspects of $q,r$-analogue of poly-Stirling numbers of both kinds
by: Komatsu, Takao, et al.
Published: (2022)
by: Komatsu, Takao, et al.
Published: (2022)
The most concise recurrence formula for the sums of integer powers
by: Cereceda, José L.
Published: (2026)
by: Cereceda, José L.
Published: (2026)
Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind
by: Qi, Feng, et al.
Published: (2022)
by: Qi, Feng, et al.
Published: (2022)
Chung-Graham and Zeckendorf representations
by: Burns, Rob
Published: (2025)
by: Burns, Rob
Published: (2025)
Explicit formulae for generalized Stirling and Eulerian numbers
by: Küstner, Josef
Published: (2024)
by: Küstner, Josef
Published: (2024)
Faulhaber's formula, Bernoulli numbers, power sums of natural numbers and totatives and the functional equation $f(x)+x^k=f(x+1)$
by: Wu, Chai Wah
Published: (2024)
by: Wu, Chai Wah
Published: (2024)
Probabilistic degenerate r-Stirling numbers of the second and probabilistic degenerate r-Bell polynomials
by: Kim, Taekyunj, et al.
Published: (2024)
by: Kim, Taekyunj, et al.
Published: (2024)
Probabilistic Stirling numbers associated with sequences
by: Kim, Dae San, et al.
Published: (2025)
by: Kim, Dae San, et al.
Published: (2025)
Leading coefficient in the Hankel determinants related to binomial and $q$-binomial transforms
by: Chern, Shane, et al.
Published: (2024)
by: Chern, Shane, et al.
Published: (2024)
Uniform treatments of Bernoulli numbers, Stirling numbers, and their generating functions
by: Qi, Feng
Published: (2025)
by: Qi, Feng
Published: (2025)
Period patterns, entry points, and orders in the Lucas sequences: theory and applications
by: Fiebig, Morgan, et al.
Published: (2024)
by: Fiebig, Morgan, et al.
Published: (2024)
On the density of Kravitz sets
by: Lev, Vsevolod, et al.
Published: (2025)
by: Lev, Vsevolod, et al.
Published: (2025)
An extension of Gauss congruences for Apéry numbers
by: Liu, Ji-Cai
Published: (2024)
by: Liu, Ji-Cai
Published: (2024)
The asymptotics for the number of real roots of the Bernoulli polynomials
by: Efimov, A.
Published: (2006)
by: Efimov, A.
Published: (2006)
Density and Symmetry in the Generalized Motzkin Numbers mod $p$
by: Kohen, Nadav
Published: (2024)
by: Kohen, Nadav
Published: (2024)
Binomial sums and properties of the Bernoulli transform
by: Elkhiri, Laid, et al.
Published: (2026)
by: Elkhiri, Laid, et al.
Published: (2026)
Generalization of Spivey's recurrence relation
by: Kim, Taekyun, et al.
Published: (2024)
by: Kim, Taekyun, et al.
Published: (2024)
Recurrence relations for degenerate Bell and Dowling polynomials via Boson operators
by: Kim, Taekyun, et al.
Published: (2025)
by: Kim, Taekyun, et al.
Published: (2025)
Probabilistic heterogeneous Stirling numbers and Bell polynomials
by: Kim, Taekyun, et al.
Published: (2026)
by: Kim, Taekyun, et al.
Published: (2026)
Elementary asymptotics for the Stirling numbers of the second kind: The central range
by: Hwang, Hsien-Kuei, et al.
Published: (2026)
by: Hwang, Hsien-Kuei, et al.
Published: (2026)
Similar Items
-
An explicit formula for Bernoulli numbers in terms of Stirling numbers of the second kind
by: Qi, Feng
Published: (2014) -
$q$-analogues of sums of consecutive powers of natural numbers and extended Carlitz $q$-Bernoulli numbers and polynomials
by: Farhi, Bakir
Published: (2025) -
Combinatorial identities related to degenerate Stirling numbers of the second kind
by: Kim, Taekyun, et al.
Published: (2025) -
A polynomial approach to Carlitz's $q$-Bernoulli numbers
by: Mouzaia, Mohamed, et al.
Published: (2025) -
Probabilistic degenerate Stirling numbers of the first kind and their applications
by: Kim, Taekyun, et al.
Published: (2024)