Nonlinear differential equations arising from Boole numbers and their applications
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Publication:5156303
DOI10.2298/FIL1708441KzbMath1488.05026arXiv1603.07799OpenAlexW2962739566MaRDI QIDQ5156303
Publication date: 15 October 2021
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.07799
Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Nonlinear ordinary differential equations and systems (34A34) Special sequences and polynomials (11B83)
Related Items (2)
Two Explicit Formulas for Degenerate Peters Numbers and Polynomials ⋮ Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers
Cites Work
- On a G.\,Boole's identity for rational functions and some trace formulas
- Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials
- Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
- A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
- Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function
- Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
- Some series identities involving the generalized Apostol type and related polynomials
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
- A note on Boole polynomials
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