You can find my full list of publications on Google Scholar.
Partial Deranged Bell Numbers and Their Combinatorial Properties
We introduce partial deranged Bell numbers and investigate their combinatorial properties, providing generating functions and recurrence relations.
An identity for two sequences and its combinatorial interpretation
We establish a new identity relating two combinatorial sequences and provide a bijective proof demonstrating its combinatorial interpretation.
The Fibonacci-Fubini and Lucas-Fubini numbers
We introduce and study Fibonacci-Fubini and Lucas-Fubini numbers, establishing their properties and connections to known sequences.
The (l, r)-Stirling numbers: a combinatorial approach
We present a combinatorial approach to the (l, r)-Stirling numbers, establishing new identities and connections with classical Stirling numbers.
The deranged Bell numbers
We introduce and study the deranged Bell numbers, exploring their combinatorial properties and connections to classical Bell numbers.
Unified Bernoulli-Euler polynomials of Apostol type
We develop a unified approach to Bernoulli-Euler polynomials of Apostol type, deriving new properties and identities.
On central Fubini-like numbers and polynomials
We investigate central Fubini-like numbers and polynomials, establishing their properties and relationships with other combinatorial sequences.
Generalized geometric polynomials via Steffensen’s generalized factorials and Tanny’s operators
We develop a theory of generalized geometric polynomials using Steffensen's factorials and Tanny's operators, revealing new connections in combinatorics.
Congruence for geometric polynomials
We establish congruence relations for geometric polynomials and explore their number-theoretic properties.