scholarly journals Certain subclass of p-valent functions associated with Bessel functions

2021 ◽  
Vol 110 (124) ◽  
pp. 81-89
Author(s):  
H.E. Darwish ◽  
A.Y. Lashin ◽  
R.M. El-Ashwah ◽  
E.M. Madar
Keyword(s):  
Bessel Functions ◽  
Coefficient Estimates ◽  
Convolution Properties

We introduce the subclass Sjp (?; c, k; ?), of p-valent functions associated with Bessel functions. Such results as inclusion relationships, convolution properties for this class are proved, coefficient estimates and certain integral preserving properties are also established with this class.

scholarly journals Convolution Properties for Some Subclasses of Meromorphic Functions of Complex Order

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Aouf ◽  
A. O. Mostafa ◽  
H. M. Zayed
Keyword(s):  
Unit Disc ◽  
Meromorphic Functions ◽  
Coefficient Estimates ◽  
Complex Order ◽  
Convolution Properties

Making use of the operatorLυfor functions of the formfz=1/z+∑k=1∞akzk-1, which are analytic in the punctured unit discU∗={z:z∈Cand0<|z|<1}=U∖{0}, we introduce two subclasses of meromorphic functions and investigate convolution properties, coefficient estimates, and containment properties for these subclasses.

scholarly journals A unified class of harmonic functions with varying argument of coefficients

Filomat ◽  
2018 ◽  
Vol 32 (4) ◽  
pp. 1349-1357
Author(s):  
Grigore Sǎlǎgean ◽  
Páll-Szabó Orsolya
Keyword(s):  
Harmonic Functions ◽  
Integral Operators ◽  
Coefficient Estimates ◽  
Closure Properties ◽  
Principle Of Subordination ◽  
Distortion Theorems ◽  
Convolution Properties

In this paper we investigate several classes of harmonic functions with varying argument of coefficients which are defined by means of the principle of subordination between harmonic functions. Properties such as the coefficient estimates, distortion theorems, convolution properties, radii of convexity, starlikeness and the closure properties of these classes under the generalized Bernardi-Libera-Livingston integral operators are investigated.

scholarly journals On Some Classes of Spirallike Functions Defined by the Salagean Operator

2019 ◽  
Author(s):  
Mohammad Mehdi Shabani ◽  
Saeed Hashemi Sababe
Keyword(s):  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Coefficient Estimates ◽  
Inclusion Properties ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Spirallike Functions ◽  
Convolution Properties ◽  
Necessary And Sufficient

In this paper, we introduce two subclasses of analytic and Spirallike functions and investigate convolution properties, the necessary and sufficient condition, coefficient estimates and inclusion properties for these classes&nbsp;.

scholarly journals Piggyback-Dualitäten

1985 ◽  
Vol 32 (1) ◽  
pp. 1-32 ◽  
Author(s):  
B.A. Davey ◽  
H. Werner
Keyword(s):  
Series Expansion ◽  
Analytic Functions ◽  
Laurent Series ◽  
Integral Operators ◽  
Starlike Functions ◽  
Coefficient Estimates ◽  
Radius Of Convexity ◽  
Distortion Theorems ◽  
Convolution Properties

For the class of meromorphically starlike functions of prescribed order, the concept of type has been introduced. A characterization of meromorphically starlike functions of order α and type β has been obtained when the coefficients in its Laurent series expansion about the origin are all positive. This leads to a study of coefficient estimates, distortion theorems, radius of convexity estimates, integral operators, convolution properties et cetera for this class. It is seen that the class considered demonstrates, in some respects, properties analogous to those possessed by the corresponding class of univalent analytic functions with negative coefficients.

scholarly journals On Certain Subclass of Meromorphic Spirallike Functions Involving the Hypergeometric Function

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Lei Shi ◽  
Zhi-Gang Wang
Keyword(s):  
Hypergeometric Function ◽  
Integral Representations ◽  
Coefficient Estimates ◽  
Spirallike Functions ◽  
Convolution Properties

We introduce and investigate a new subclassMm1(θ,λ,η)of meromorphic spirallike functions. Such results as integral representations, convolution properties, and coefficient estimates are proved. The results presented here would provide extensions of those given in earlier works. Several other results are also obtained.

scholarly journals Janowski Type q-Convex and q-Close-to-Convex Functions Associated with q-Conic Domain

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 440 ◽  
Author(s):  
Muhammad Naeem ◽  
Saqib Hussain ◽  
Shahid Khan ◽  
Tahir Mahmood ◽  
Maslina Darus ◽  
...  
Keyword(s):  
Convex Functions ◽  
Coefficient Estimates ◽  
Geometric Properties ◽  
Conic Domain ◽  
New Findings ◽  
Convolution Properties

Certain new classes of q-convex and q-close to convex functions that involve the q-Janowski type functions have been defined by using the concepts of quantum (or q-) calculus as well as q-conic domain Ω k , q [ λ , α ] . This study explores some important geometric properties such as coefficient estimates, sufficiency criteria and convolution properties of these classes. A distinction of new findings with those obtained in earlier investigations is also provided, where appropriate.

scholarly journals Meromorphic univalent functions with positive coefficients

1985 ◽  
Vol 32 (2) ◽  
pp. 161-176 ◽  
Author(s):  
M.L. Mogra ◽  
T.R. Reddy ◽  
O.P. Juneja
Keyword(s):  
Univalent Functions ◽  
Integral Operators ◽  
Starlike Functions ◽  
Coefficient Estimates ◽  
Radius Of Convexity ◽  
Distortion Theorems ◽  
Convolution Properties ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

For the class of meromorphically starlike functions of prescribed order, the concept of type has been introduced. A characterization of meromorphically starlike functions of order α and type β has been obtained when the coefficients in its Laurent series expansion about the origin are all positive. This leads to a study of coefficient estimates, distortion theorems, radius of convexity estimates, integral operators, convolution properties et cetera for this class. It is seen that the class considered demonstrates, in some respects, properties analogous to those possessed by the corresponding class of univalent analytic functions with negative coefficients.

scholarly journals A Class of Analytic Functions with Missing Coefficients

2011 ◽  
Vol 2011 ◽  
pp. 1-16 ◽  
Author(s):  
Ding-Gong Yang ◽  
Jin-Lin Liu
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Coefficient Estimates ◽  
Sharp Bounds ◽  
Radius Of Convexity ◽  
Convolution Properties ◽  
Class Of Functions

Let and denote the class of functions of the form which are analytic in the open unit disk and satisfy the following subordination condition , for, for. We obtain sharp bounds on , and coefficient estimates for functions belonging to the class . Conditions for univalency and starlikeness, convolution properties, and the radius of convexity are also considered.

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