Degenerate Cauchy Numbers and Polynomials of the Second Kind.

Abstract

In this thesis, we consider some generalization of Degenerate Cauchy Numbers and Polynomials of the Second Kind. The generalization is by means of definite integral and generating functions. All these generalizations enable us to investigate and expand algebraic properties of Degenerate Cauchy Numbers and Polynomials of the Second Kind. We also combine these generalizations and derive numerous combinatorial and arithmetical identities.