In this manuscript, the new sequence space ZΦ for Z ∈ {c, c₀, ℓ∞} and Φ = CmΔ have been introduced using the Cesàro matrix and backward difference operator. Some of the topological properties of these ...

In this paper, due to the Borel lemma and Clunie lemma, we will deduce the relationship between an entire function f of hyper-order less than 1 and its n-th difference operator Δ c n f( z ) if they ...

The Dunkl transform is a sophisticated generalisation of the classical Fourier transform, incorporating differential‐difference operators that are defined in relation to reflection groups. This ...