Results 21 to 30 of about 24,932 (285)

Toeplitz and Hankel determinants of logarithmic coefficients for <i>r</i>-valent <i>q</i>-starlike and <i>r</i>-valent <i>q</i>-convex functions. [PDF]

MethodsX
The aim of the present paper is to extend the notions of q-starlikeness and q-convexity to encompass multivalent q-starlikeness and multivalent q-convexity.
Sabir PO, Ali AA.
europepmc   +2 more sources

Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions [PDF]

Journal of Applied and Computational Mechanics, 2021
In this paper, we introduce and study some new classes of multivalent (p -valent) meromorphically starlike functions involving Higher-Order derivatives. For these multivalent classes of functions, we derive several interesting properties including sharp ...
Bilal Khan, Hari Mohan Srivastava, Nazar Khan, Maslina Darus, Muhammad Tahir, Abdul Samad   +5 more
doaj   +1 more source

Some properties of subclass of multivalent functions associated with a generalized differential operator. [PDF]

Sci Rep
In this paper, the new subclass $$\mathcal {S}^n_{b,\lambda ,\delta ,p} ({\alpha })$$ S b , λ , δ , p n ( α ) of a linear differential operator’s $$\mathcal {N}_{\lambda ,\delta ,p}^{n}f(\zeta )$$ N λ , δ , p n f ( ζ ) associated with multivalent ...
Byeon H, Balamurugan M, Stalin T, Govindan V, Ahmad J, Emam W.   +5 more
europepmc   +2 more sources

ON MULTIVALENT HARMONIC MEROMORPHIC FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS [PDF]

المجلة العراقية للعلوم الاحصائية, 2011
In this paper we introduce a subclass of multivalent harmonic meromorphic functions defined in the exterior of the unit disk by using generalize hypergeometric functions.
ABDULRAHMAN SALMAN JUMA
doaj   +1 more source

The Properties of Meromorphic Multivalent q-Starlike Functions in the Janowski Domain

Fractal and Fractional, 2023
Many researchers have defined the q-analogous of differential and integral operators for analytic functions using the concept of quantum calculus in the geometric function theory.
Isra Al-Shbeil, Jianhua Gong, Samrat Ray, Shahid Khan, Nazar Khan, Hala Alaqad   +5 more
doaj   +1 more source

Some Subordination Results Defined by Using the Symmetric q-Differential Operator for Multivalent Functions

Axioms, 2023
In this article, we use the concept of symmetric q-calculus and convolution in order to define a symmetric q-differential operator for multivalent functions. This operator is an extension of the classical Ruscheweyh differential operator.
Saima Noor, Sa’ud Al-Sa’di, Saqib Hussain   +2 more
doaj   +1 more source

Applications of a New q-Difference Operator in Janowski-Type Meromorphic Convex Functions

Journal of Function Spaces, 2021
The main aim of the present article is the introduction of a new differential operator in q-analogue for meromorphic multivalent functions which are analytic in punctured open unit disc.
Bakhtiar Ahmad, Muhammad Ghaffar Khan, Mohamed Kamal Aouf, Wali Khan Mashwani, Zabidin Salleh, Huo Tang   +5 more
doaj   +1 more source

Simple sufficient conditions for starlikeness and convexity for meromorphic functions

Open 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, Bulboacă Teodor, Alqahtani Rubayyi T.   +2 more
doaj   +1 more source

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

Axioms, 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, Muhammad Arif, Syed Zakar Hussain Bukhari, Malik Ali Raza   +3 more
doaj   +1 more source

Neighborhoods of a new class of harmonic multivalent functions

, 2011
We introduce and investigate a new subclass of harmonic multivalent functions defined by using a differential operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for the above class of harmonic multivalent ...
Yalçın, Sibel, Sibel Yalçın, Yaşar, Elif, Elif Yaşar   +3 more
core   +2 more sources