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 ...

Analytic functions, defined by the property of being locally expressible as convergent power series, form a cornerstone of complex analysis. Differential operators, which act on these functions by ...