Hye Kyung Kim

The \(\alpha\)-analogues of r-Whitney Numbers via Normal Ordering

Hye Kyung Kim · Journal of Advances in Mathematics and Computer Science · 2022

The normal ordering of an integral power of the number operator a\(^\dagger\)a in terms of boson annihilation a and creation a\(^\dagger\) operators is expressed with the help of the Stirling numbers of the second kind. The normal ordering problems directly links the problems to...

Open access Research Article 10.9734/jamcs/2022/v37i101716

Study on Two New Numbers and Polynomials Numbers and Polynomials Arising from the Fermionic p-adic Integral on \(\mathbb{Z}\)p

Hye Kyung Kim · Journal of Advances in Mathematics and Computer Science · 2022

p-adic analysis and their applications is used p-adic distributions, p-adic measure, p-adic integrals, p-adic L-function and other generalized functions. In addition, among the many ways to investigate and construct generating functions for special polynomials and numbers, one of...

Open access Research Article 10.9734/jamcs/2022/v37i230436