Special classes of functions on the classical semigroup ℕ of non-negative integers, arising through the mechanism of difference operators, can be associated in a natural way with special classes of ...

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 ...

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 ...