A new class of generalized Fubini polynomials and their computational algorithms

DOI10.2298/aadm210708023kOpenAlexW4387586829MaRDI QIDQ6195508

Neslihan Kilar

Publication date: 14 March 2024

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm210708023k

zbMATH Keywords

generating functionsStirling numberscomputational algorithmsgeneralized Fubini numbersApostol-type numbers and polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator
• Application of a composition of generating functions for obtaining explicit formulas of polynomials
• 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
• Some new identities and congruences for Fubini numbers
• Cayley permutations
• A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials
• A concrete approach to classical analysis
• Identities associated with generalized Stirling type numbers and Eulerian type polynomials
• Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials
• On interpolation functions for the number of \(k\)-ary Lyndon words associated with the Apostol-Euler numbers and their applications
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• On the Lerch zeta function
• Analysis of generating functions for special words and numbers and algorithms for computation
• Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers
• Some families of Genocchi type polynomials and their interpolation functions
• A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALS
• Applications of constructed new families of generating‐type functions interpolating new and known classes of polynomials and numbers
• A new family of combinatorial numbers and polynomials associated with peters numbers and polynomials
• New families of special numbers for computing negative order Euler numbers and related numbers and polynomials
• Combinatorial identities and sums for special numbers and polynomials
• Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions
• On a family of special numbers and polynomials associated with Apostol-type numbers and polynomials and combinatorial numbers
• New classes of Catalan-type numbers and polynomials with their applications related to p-adic integrals and computational algorithms
• On the Factorization of Squarefree Integers