Using the techniques of the modern umbral calculus, we derive several combinatorial identities involving s-Appell polynomials. In particular, we obtain identities for classical polynomials, such as ...

Following the earlier works on Inversion techniques and combinatorial identities, the duplicate form of the Gould-Hsu [18] inversion theorem is constructed. As applications, several terminating ...

[4] Hypergeometric Series and Harmonic Number Identities. Advances in Applied Mathematics (2005). [5] Series Containing Squared Central Binomial Coefficients and Alternating Harmonic Numbers.

Catalan numbers, a distinguished sequence in combinatorial mathematics, consistently emerge in a wide range of counting problems—from enumerating binary trees and Dyck paths to counting possible ...

Warren Johnson’s favorite area of mathematics is q-analysis. He has been working on a book on it for many years, which he used when he taught MAT 305 (Selected Topics). He loves the interplay between ...

He gave combinatorial identities relating sequences that are seemingly unrelated. His proofs are short and involve clever manipulations of generating functions,” said Varma on combinatorics, the ...