(α, β, λ, δ, m, Ω)p−Neighborhood for some families of analytic and multivalent functions
Abstract In the present investigation, we give some interesting results related with neighborhoods of p−valent functions. Relevant connections with some other recent works are also pointed out.
Coefficient inequalities and inclusion relations for some families of analytic and multivalent functions
Abstract By means of the derivative operator of order m ( m ∈ N 0 ), we introduce and investigate two new subclasses of p -valently analytic functions of complex order. The various results obtained here for each of these two function classes include coefficient inequalities and inclusion relationships involving the ( n , δ ) -neighborhood of p -valently analytic functions. Relevant connections with some other recent investigations are also pointed out.
Evaluation and Control of Collapsible Soils
Some compacted soils wetted under certain conditions of compaction and loading may exhibit additional settlement (collapse). To investigate the effect of the soil type, compaction water content, initial dry unit weight and applied pressure at wetting on collapse potential, 138 single‐oedometer tests were conducted on eight different soils. The results indicate that well‐graded soils tend to collapse more than poorly graded ones under similar conditions. Furthermore, collapse potential decreases with an increase in (1) The difference between the sand and clay percentages; (2) compaction water content; and (3) initial dry unit weight, while it increases with pressure at wetting. A multiple regression analysis was performed on the laboratory results to provide a collapse‐predictive model that was substantiated by data reported by several researchers. A chart is presented to estimate (1) The collapse potential of soils under various conditions; and (2) the critical water content beyond which no collapse is ex...