Generalized Gould-Hopper Based Fully Degenerate Central Bell Polynomials (original) (raw)

In this paper, we first provide the generalized degenerate Gould-Hopper polynomials via the degenerate exponential functions and then give various relations and formulas such as addition formula and explicit identity. Moreover, we consider the generalized Gould-Hopper based degenerate central factorial numbers of the second kind and present several identities and relationships. Furthermore, we introduce the generalized Gould-Hopper based fully degenerate central Bell polynomials and investigated multifarious correlations and formulas including summation formulas, derivation rule and correlations with the Stirling numbers of the first kind, the generalized Gould-Hopper based degenerate central factorial numbers of the second kind and the generalized degenerate Gould-Hopper polynomials. We then acquire some relations with the degenerate Bernstein polynomials for the generalized Gould-Hopper based fully degenerate central Bell polynomials. Finally, we consider the Gould-Hopper based fully degenerate Bernoulli, Euler and Genocchi polynomials and by utilizing these polynomials, we develop some representations for the generalized Gould-Hopper based fully degenerate central Bell polynomials.

Sign up for access to the world's latest research.

checkGet notified about relevant papers

checkSave papers to use in your research

checkJoin the discussion with peers

checkTrack your impact