A new class of degenerate biparametric Apostol–type polynomials

The main objective of this paper is to introduce and explore two novel classes of degenerate biparametric Apostol-type polynomials, which are based on a definition of degenerate Apostol-type polynomials provided by Subuhi Khan et al. We derive various algebraic and differential properties associated with these polynomials. Additionally, we provide a series of illustrative examples for these newly introduced polynomial families along with their corresponding graphs. The majority of the results are proven utilizing well-established generating functions and identities.