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Some Properties of Two Integral Operators of a New Class of Univalent Functions Defined by a Linear Operator
The main object of this paper is to introduce and investigate an differential operator DZk+1+ηz of holomorphic function, and we determine conditions on the order of the functions in the class N such that the integral operators will be in this class
Generalized Higher Left Centralizer of Prime Γ-Rings
In this paper we introduce the concepts of generalized higher left centralizer and generalized Jordan higher left centralizer of Γ-rings M as well as we proved that every generalized Jordan higher left centralizer of certain Γ-ring M is generalized higher left centralizer of M and we prove every Jordan generalized higher left centralizer of certain Γ-ring M is Jordan generalized triple higher left centralizer of M
Existence of a bounded variation solution of a nonlinear integral equation in L1(R+)
In this paper we study the existence of a unique solution of a nonlinear integral equation in the space of bounded variation on an unbounded interval by using measure of noncompactness and Darbo fixed point theorem
Derivation the availability of a system with one unit in normal and abnormal weather conditions by using Laplace transform with application to case of Normal Weather: Mathematical Statistics
In this paper We will study the system in good and bad weather by using Laplace transform, the system have one unite in operative, partial failure and total failure modes in two weather conditions normal and stormy resolved by Laplace transform and application to the case of normal Weather only considering existence of preventive maintenance
A New Class of Holomorphic Univalent Functions Defined by Linear Operator
In the present work, we submit and study a new class AN(τ, λ, η, ρ) containing holomorphic univalent functions defined by linear operator in the open unit disk Λ={s ϵ C :|s | <1} We get some geometric properties, such as, coefficient inequality, growth, and distortion bounds, convolution properties, convex set, neighborhood property, radii of starlikeness and convexity , weighted mean and arithmetic mean for functions belonging to the class AN(τ, λ, η, ρ) 
Mathematical Modelling of Oil Pipeline Leakages Using Computational Fluid Dynamics - Case of BIDCO Oil Processing Refinery, Uganda.
The leakage flow phenomena of a refinery oil pipe with a leakage point is numerically studied with the purpose to minimize oil leakage using Computational Fluid Dynamics (CFD) approach. Among consequences of oil pipe leakages are losses as a result of property loss (oil), cost of pipe replacement and also death due to fire or explosion. To understand the leakage phenomena, pipe characteristics at the leakage orifice are necessary. In the simulation, considering a pipe with a leak orifice of 0.002m, diameter 0.06 m and length 10 m, single phased flow was considered. The leakage through the pipe was studied based on fluid dynamics simulations using a Computational fluid dynamic tool ANSYS FLUENT software 17.2 where the Navier-Stokes were solved and for turbulence the standard k-ε was considered. Results from this study show that the leakage flow rate increases with increase in velocity inflow of the fluid. The pressure effect was also studied at the vicinity of the leak and results also show that an increase in velocity increases the pressure drop. Therefore, keeping the inflow velocity range of 0.1ms−1 to 2 ms−1 show minimal leakage rates
Hesitant Fuzzy Prime Ideal of Γ- ring
In this paper, we introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal, hesitant fuzzy strongly prime ideal in gamma rings and hesitant 3-prime ideal. Also, we study the relation between the above concept
Jordan Generalized Centralizerhomo on Prime Rings.
In this article we introduce the concepts of generalized centralizerhomo and Jordan generalized centralizerhomo on prime ring. The aim object of this paper we prove: Every Jordan generalized centralizerhomo of 2-torsion free prime ring is Jordan generalized triple centralizerhomo on
Certain Families of Holomorphic and Sălăgean Type Bi-Univalent Functions Defined by (p,q)-Lucas Polynomials Involving a Modified Sigmoid Activation Function
The aim of the present paper is to introduce a certain families of holomorphic and Sălăgean type bi-univalent functions by making use (p, q) - Lucas polynomials involving the modified sigmoid activation function Φ(δ)=z/(1+e-δ) δ>=1 in the open unit disk Λ. For functions belonging to these subclasses, we obtain upper bounds for the second and third coefficients. Also, we debate Fekete-Szegö inequality for these families. Further, we point out several certain special cases for our results
Rate of Growth of Triple Sequence Spaces Defined in Double Orlicz Function
By this article we present the rate for growth of triple sequences space which defined by double Orlisz function and introduce universal properties of these spaces