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1
Content available remote On multivalent close-to-star functions
Singh Gagandeep, Singh Gurcharanjit
Fasciculi Mathematici
|
2023
|
nr 66
91--106
EN
The present paper deals with certain generalized subclasses of multivalent close-to-star functions defined with subordination. Various properties of these classes such as the coefficient estimates, growth theorems, argument theorems and inclusion relations are studied. Some earlier known results will follow as particular cases.
2
Content available Starlikeness and convexity of certain integral operators defined by convolution
Aggarwal J., Mathur R.
Journal of Mathematics and Applications
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2015
|
Vol. 38
5--13
EN
We define two new general integral operators for certain analytic functions in the unit disc U and give some sufficient conditions for these integral operators on some subclasses of analytic functions.
3
Content available remote On meromorphic multivalent functions defined with the use of linear operator
Juma A. R. S.
Journal of Mathematics and Applications
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2011
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Vol. 34
35-44
EN
In the present paper we introduce two classes of meromorphically multivalent functions and application of linear operators on these classes. We study various properties and coefficients bounds, the concept of neighbourhood also investigated.
4
Content available remote Certain subclass of multivalent functions involving the Cho-Kwon-Srivastava operator
Zeng T., Gao Ch-Y., Wang Z-G., Aghalary R.
Journal of Mathematics and Applications
|
2008
|
Vol. 30
161-170
EN
In the present paper, we introduce a new subclass S(sup (j)) (sub p, λ) (α; a, c; φ) of multivalent functions involving the Cho-Kwon-Srivastava operator. Such results as inclusion relationships, coefficient estimates and convolution properties for this class are proved. The results presented here would provide extensions of those given in earlier works.
5
Content available remote Certain classes of multivalent functions with negative coefficients defined by using a differential operator
Aouf M. K.
Journal of Mathematics and Applications
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2008
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Vol. 30
5-21
EN
In this paper, we investigate the various important prop-erties and characteristics of the subclasses Sn (p, q, α, β) and Cn (p, q, α, β) of multivalent functions with negative coefficients defined by using a differential operator. We also derive many results for the modified Hadamard products of functions belongingto the classes Sn(p, q, α, β) and Cn(p, q, α, β). Finally several applications involving an integral operator and certain fractional calculus operators are also considered.
6
Content available remote A linear operator and associated class of multivalent analytic functions
Sokół J.
Demonstratio Mathematica
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2007
|
Vol. 40, nr 3
559-566
EN
We introduce a certain class H alpha/k (p, lambda;h) of multivalent analytic functions in the open unit disc involving a linear operator L alpha/k. The aim of this paper is to extend the similar concept of many earlier papers. We use techniques of differential subordination and convolution of this class.
7
Some families of meromorphically multivalent functions and their applications
Dziok Jacek, Irmak H.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2004
|
z. 27 [212]
19-23
EN
In the aim of the present paper, two families of meromorphically multivalent (non-normalized) functions with complex coefficients in the punctured unit disk are stated. They also indicate relevant connections of these families of meromorphically multivalent and meromorphic univalent functions which involve some interesting results on this topics of Geometric and Analytic Functions Theory.
8
Content available remote Certain operators and inequalities and their applications to meromorphically multivalent functions
Dziok J., Irmak H.
Demonstratio Mathematica
|
2003
|
Vol. 36, nr 4
839--846
EN
In the present paper, making use of certain operators, some theorems involving inequalities on meromorphically multivalent functions in the punctured unit disk are obtained. Moreover, some of the results which are important for geometric function theory are also included.
9
On a class of multivalent functions
Patel J., Mohanty A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
z. 23 [175]
85-91
EN
In the paper some special class of multivalent functions connected with the hypergeometric series are investigated.
10
Content available remote A certain subclass of analytic p-valent functions with negative coefficients
Aouf M., Hossen H., Srivastava H.
Demonstratio Mathematica
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1998
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Vol. 31, nr 3
595-608
EN
The object of the present paper is to derive several sharp results for the modified Hadamard products (or convolution) of functions belonging to a certain subclass Gp (lambda,alfa) of analytic and p-valent functions with negative coefficients, which is related rather closely to a class Fp (lambda,alfa) studied earlier by Lee et al. [4] . Distortion theorems for the fractional calculus (that is, fractional integral and fractional derivative) of functions in the class Gp (lambda,alfa) are obtained. This paper is essentially a sequel to the work of Aouf [3] who introduced, and derived some basic properties of, the class Gp(lambda,alfa).
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