Generalized higher order Bernoulli number pairs and generalized Stirling number pairs

Generalized Stirling Number Pairs Associated with Inverse Relations

On Extended Generalized Stirling Pairs

Note that the pair of Stirling numbers of the first and second kind is a special case of a GSP [g(t) = e>-l,f(t) = 1n(l + t)]. In the present paper, we define an extended generalized Stirling pair, say {B^n^h), B2{n,k)}, which covers in particular the above known results and other interesting pairs of numbers with combinatorial interpretations. Moreover, similar relations to the orthogonality o...

Generalized higher order Stirling numbers

Some Identities of Generalized Higher-order Carlitz q-Bernoulli Polynomials

In this paper, we give some interesting symmetric identities of generalized higher-order Carlitz q-Bernoulli polynomials attached to χ which are derived from symmetry properties of multivariate p-adic q-integral on X.

Generalized Bracket Function Inverse Pairs

The aim of this paper is to prove the existence of inverse pairs for a certain class of numbertheoretic functions. An application of the result is also illustrated. The motivation comes from the study of functions such as Ck(n)= £ l and **(»)= I 1 • a>\ (ah...,ak) = l Gould [1] showed that Ck(n) = Hd\nRk(d) and that i^(/0 has an inverse. In [5] a pair of functions similarly related is also stud...