  The aim of this paper is to study Jindalrae and Gaenari numbers and
polynomials in connection with Jindalrae-Stirling numbers of the first and
second kinds. For this purpose, we first introduce Jindalrae-Stirling numbers
of the first and second kinds as extensions of the notions of the degenerate
Stirling numbers of the first and second kinds, and deduce several relations
involving those special numbers. Then we introduce Jindalrae and Gaenari
numbers and polynomials and obtain some explicit expressions and identities
associated with those numbers and polynomials. In addition, we interpret our
results by using umbral calculus.
