Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
From MaRDI portal
Publication:2314610
DOI10.1007/s13398-018-0494-zzbMath1429.11056OpenAlexW2743398557MaRDI QIDQ2314610
Da-Wei Niu, Feng Qi, Bai-Ni Guo
Publication date: 29 July 2019
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-018-0494-z
inversion theorembinomial coefficientStirling numberexplicit formulaBell polynomialidentityunnamed polynomial
Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83)
Related Items
Several explicit and recursive formulas for generalized Motzkin numbers, The inverse of a triangular matrix and several identities of the Catalan numbers, Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers, Unnamed Item, A new recursive formula arising from a determinantal expression for weighted Delannoy numbers, Some inequalities and an application of exponential polynomials, Special values of the Bell polynomials of the second kind for some sequences and functions, Computation of several Hessenberg determinants, Some identities related to Eulerian polynomials and involving the Stirling numbers, Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions, Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function, Unnamed Item, Some properties of the Hermite polynomials, Unnamed Item, A complete study of the geometry of 2-homogeneous polynomials on circle sectors, Unnamed Item, Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Mittag--Leffler polynomials, Closed formulas and identities on the Bell polynomials and falling factorials., Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials
Cites Work
- Trilinear equations, Bell polynomials, and resonant solutions
- Explicit formulas for special values of the Bell polynomials of the second kind and for the Euler numbers and polynomials
- Integral representations for multivariate logarithmic polynomials
- Explicit formulas and identities for the Bell polynomials and a sequence of polynomials applied to differential equations
- Closed forms for derangement numbers in terms of the Hessenberg determinants
- Some properties of central Delannoy numbers
- Bilinear equations and resonant solutions characterized by Bell polynomials
- Fibonacci Determinants
- SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
- A diagonal recurrence relation for the Stirling numbers of the first kind
- Combinatorial Identities for Stirling Numbers
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
