Results 11 to 20 of about 58 (52)

Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

Journal of Complex Analysis, Volume 2018, Issue 1, 2018., 2018
The aim of the present paper is to investigate several third‐order differential subordinations, differential superordination properties, and sandwich‐type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.
Xiao-Yuan Wang, Lei Shi, Zhi-Ren Wang, Pranay Goswami   +3 more
wiley   +1 more source

Contact networks reveal potential for interspecific interactions of sympatric wild felids driven by space use

Ecosphere, Volume 8, Issue 3, March 2017., 2017
Abstract Competitive interactions between species are fundamental to understanding species assemblages, community dynamics, and ecological processes. Anthropogenic landscape change, particularly resulting from urbanization, can alter interspecific interactions; however, different forms of urbanization are predicted to have contrasting effects on ...
Jesse S. Lewis, Kenneth A. Logan, Mat W. Alldredge, David M. Theobald, Sue VandeWoude, Kevin R. Crooks   +5 more
wiley   +1 more source

Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014
By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions.
K. AL-Shaqsi, Heinrich Begehr
wiley   +1 more source

Third‐Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu‐Srivastava Operator

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
There are many articles in the literature dealing with the first‐order and the second‐order differential subordination and superordination problems for analytic functions in the unit disk, but only a few articles are dealing with the above problems in the third‐order case (see, e.g., Antonino and Miller (2011) and Ponnusamy et al. (1992)).
Huo Tang, H. M. Srivastava, Shu-Hai Li, Li-Na Ma, Om P. Ahuja   +4 more
wiley   +1 more source

Certain Admissible Classes of Multivalent Functions

Journal of Complex Analysis, Volume 2014, Issue 1, 2014., 2014
We investigate some applications of the differential subordination and the differential superordination of certain admissible classes of multivalent functions in the open unit disk U. Several differential sandwich‐type results are also obtained.
M. K. Aouf, H. M. Srivastava, T. M. Seoudy, Arcadii Z. Grinshpan   +3 more
wiley   +1 more source

Sandwich‐Type Theorems for a Class of Multiplier Transformations Associated with the Noor Integral Operators

Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012
We obtain some subordination‐ and superordination‐preserving properties for a class of multiplier transformations associated with Noor integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich‐type theorems for these transformations are also considered.
Nak Eun Cho, Khalida Inayat Noor, Muhammad Aslam Noor   +2 more
wiley   +1 more source

A Class of Integral Operators Preserving Subordination and Superordination for Analytic Functions

International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012
The purpose of the paper is to investigate several subordination‐ and superordination‐preserving properties of a class of integral operators, which are defined on the space of analytic functions in the open unit disk. The sandwich‐type theorem for these integral operators is also presented.
H. A. Al-Kharsani, N. M. Al-Areefi, Janusz Sokół, J. Cui, J.-L. Wu, C. Zhu   +5 more
wiley   +1 more source

Differential Subordination and Superordination for Srivastava‐Attiya Operator

International Journal of Differential Equations, Volume 2011, Issue 1, 2011., 2011
Due to the well‐known Srivastava‐Attiya operator, we investigate here some results relating the p‐valent of the operator with differential subordination and subordination. Further, we obtain some interesting results on sandwich‐type theorem for the same.
Maisarah Haji Mohd, Maslina Darus, Khalil Ezzinbi   +2 more
wiley   +1 more source

An Extension to the Owa‐Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions

International Journal of Differential Equations, Volume 2009, Issue 1, 2009., 2009
Let 𝒜 be the class of analytic functions in the open unit disk 𝕌. We define Θα,β : 𝒜 → 𝒜 by (Θα,βf)(z):=Γ(2−α)zαDzα(Γ(2−β)zβDzβf(z)),(α, β ≠ 2, 3, 4…), where Dzγf is the fractional derivative of f of order γ. If α, β ∈ [0, 1], then a function f in 𝒜 is said to be in the class SPα,β if Θα,βf is a parabolic starlike function.
Oqlah Al-Refai, Maslina Darus, Shaher Momani   +2 more
wiley   +1 more source

Subordination and Superordination Results for a Class of Analytic Multivalent Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2008, Issue 1, 2008., 2008
We derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known results.
S. P. Goyal, Pranay Goswami, H. Silverman, Dorothy Wallace   +3 more
wiley   +1 more source