Results 41 to 50 of about 14,928,699 (320)

On the multivalent functions

open access: yesTsukuba Journal of Mathematics, 1991
In this article the authors proved that if p is analytic in the unit disc \(\Delta\), \(p(0)=1\) then \[ (*)\;| p(z)+zp'(z)-1|
Nunokawa, Mamoru   +2 more
openaire   +3 more sources

Simple sufficient conditions for starlikeness and convexity for meromorphic functions

open access: yesOpen Mathematics, 2016
In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α.
Goswami Pranay   +2 more
doaj   +1 more source

Generalized Schur Functions as Multivalent Functions

open access: yesComplex Analysis and Operator Theory, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Some New Sufficient Conditions on p-Valency for Certain Analytic Functions

open access: yesAxioms, 2023
In the present paper, we develop some implications leading to Carathéodory functions in the open disk and provide some new conditions for functions to be p-valent functions. This work also extends the findings of Nunokawa and others.
Lei Shi   +3 more
doaj   +1 more source

On a new subclass of Ruscheweyh-type harmonic multivalent functions [PDF]

open access: yes, 2013
We introduce a certain subclass of harmonic multivalent functions defined by using a Ruscheweyh derivative operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for the above class of harmonic multivalent ...

core   +1 more source

Multivalent functions and QK spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
We give a criterion for q-valent analytic functions in the unit disk to belong to QK, a Möbius-invariant space of functions analytic in the unit disk in the plane for a nondecreasing function K:[0,∞)→[0,∞), and we show by an example that our condition is
Hasi Wulan
doaj   +1 more source

A Criterion for Subfamilies of Multivalent Functions of Reciprocal Order with Respect to Symmetric Points

open access: yesFractal and Fractional, 2019
In the present research paper, our aim is to introduce a new subfamily of p-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.
Shahid Mahmood   +4 more
doaj   +1 more source

On a Subclass of Meromorphic Multivalent Functions [PDF]

open access: yes, 2015
. In this paper, we introduce a new class of meromorphic multivalent functions in the puncturedunit discU ∗ = z ∈ C: 0 < z < 1. We obtain various resultsincluding coefficients inequality, convex set, radius of starlikeness and convexity, δ ...
HadiAbd, Enaam   +3 more
core   +1 more source

Families of Meromorphic Multivalent Functions Associated with the Dziok-Raina Operator

open access: yesInternational Journal of Analysis and Applications, 2013
Making use a linear operator, which is defined here by means of the Hadamard product (or convolution), involving the Wright’s generalized hypergeometric function , we introduce two novel subclassesP p(q,s,α1;A,B,λ) andP+p(q,s,α1;A,B,λ) of meromorphically
G. Murugusundaramoorthy, M.K. Aouf
doaj   +2 more sources

Some Applications of a New Integral Operator in q-Analog for Multivalent Functions

open access: yesMathematics, 2019
This paper introduces a new integral operator in q-analog for multivalent functions. Using as an application of this operator, we study a novel class of multivalent functions and define them. Furthermore, we present many new properties of these functions.
Q. Khan   +6 more
semanticscholar   +1 more source

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