scholarly journals Certain Geometric Properties of Meromorphic Functions Defined by a New Linear Differential Operator

2021 ◽  
Vol 1999 (1) ◽  
pp. 012090
Author(s):  
Mustafa I. Hameed ◽  
Buthyna Najad Shihab ◽  
Kassim Abdulhameed Jassim
Keyword(s):  
Differential Operator ◽  
Meromorphic Functions ◽  
Linear Differential Operator ◽  
Geometric Properties ◽  
Linear Differential

scholarly journals On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 210 ◽  
Author(s):  
Suhila Elhaddad ◽  
Maslina Darus
Keyword(s):  
Differential Operator ◽  
Meromorphic Function ◽  
Hypergeometric Function ◽  
Meromorphic Functions ◽  
Hadamard Product ◽  
Linear Differential Operator ◽  
Extreme Points ◽  
Growth Coefficient ◽  
Closure Theorems ◽  
Linear Differential

This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.

Method of Forced Monotonicity for Conjugate type Boundary Value Problems for Ordinary Differential Equations

1988 ◽  
Vol 31 (1) ◽  
pp. 79-84
Author(s):  
P. W. Eloe ◽  
P. L. Saintignon
Keyword(s):  
Differential Operator ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Linear Differential Operator ◽  
Boundary Value ◽  
Linear Differential ◽  
Type Boundary ◽  
Sign Conditions ◽  
Conjugate Type

AbstractLet I = [a, b] ⊆ R and let L be an nth order linear differential operator defined on Cn(I). Let 2 ≦ k ≦ n and let a ≦ x1 < x2 < … < xn = b. A method of forced mono tonicity is used to construct monotone sequences that converge to solutions of the conjugate type boundary value problem (BVP) Ly = f(x, y),y(i-1) = rij where 1 ≦i ≦ mj, 1 ≦ j ≦ k, mj = n, and f : I X R → R is continuous. A comparison theorem is employed and the method requires that the Green's function of an associated BVP satisfies certain sign conditions.

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