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1
Content available remote Fourth Hankel and Toeplitz determinants for a subclass of analytic functions subordinate to 1+sin(z)
Ganesh Koride, Rayaprolu Bharavi Sharma, Saroja Kasula, Yakaiah Koneti
Mathematica Applicanda
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2023
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Vol. 51, no. 2
321--338
EN
The purpose of the present paper is to determine the coefficient bounds, fourth Hankel determinants, Toeplitz determinants for the function f in a subclass of analytic functions subordinate to 1+sin(z). We also study the Fekete-Szegö inequality and Zalcman conjecture for functions in this class.
PL
Celem tego badania jest ustalenie oszacowań współczynników wyznaczników Hankela czwartego rzędu oraz wyznaczników Toeplitza dla funkcji należących do podklasy funkcji analitycznych podporządkowanych wyrażeniu 1 + sin z. Dodatkowo, analizujemy nierówność Fekete-Szegő-Szegő oraz hipotezę Zalcmana dla funkcji w tejże klasie.
2
Content available remote On coefficients' estimates of concave univalent functions
Zaprawa P.
Journal of Mathematics and Applications
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2010
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Vol. 32
109-116
EN
In the class Co(p), p ∈ (0,1) of univalent concave functions with a pole at p we find some estimates on the third coefficient as well as the residuum of a function, while its second coefficient is fixed.
3
On univalent functions defined by a generalized differential operator
Ibrahim R. W., Darus M.
Journal of Applied Analysis
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2010
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Vol. 16, nr 2
305-313
EN
The object of this paper is to derive some inclusion relations regarding a new class by using the generalized differential operator due to the authors.
4
Content available remote Subordinations and superordinations using the Dziok-Srivastava linear operator
Oros G. I., Oros O.
Journal of Mathematics and Applications
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2009
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Vol. 31
99-106
EN
By using the properties of the Dziok-Srivastava linear operator we obtain differential subordinations and superordinations by using functions from class A. A sandwich-type result is also given. Theorem 1 from the paper gives sufficient conditions such that a function f ∈ A to be starlike, convex and α-convex.
5
Content available remote Some criteria on Integral means for certain classes of functions with negative coefficients
Latha S., Raju D. S.
Journal of Mathematics and Applications
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2008
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Vol. 30
91-102
EN
Let T be the class of functions f with negative coefficients which are analytic and univalent in the open disk U with f(0) = 0 and f'(0) = 1. For the classes T* (A, B) and C (A,B), -1 ≤ A < B ≤ 1 defined as subclasses of T, interesting results for integral means are discussed.
6
Content available remote Remarks on the certain subclass of univalent functions
Piejko K., Trojnar-Spelina L.
Journal of Mathematics and Applications
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2008
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Vol. 30
125-130
EN
We investigate the family LP α (α ∈ (-π, π]) of functions [wzór] that are analytic in the unit disk with the property that the domain of values [wzór] is the parabolic region (Imw) ² < 2Rew - 1.We give inclusion theorems and bounds of Re �'(z) for this class.
7
Content available remote On certain properties of neighborhoods of analytic functions of complex order
Latha S., Poornima N.
Journal of Mathematics and Applications
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2008
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Vol. 30
83-90
EN
Let A(n) denote the class of functions of the form [wzór] which are analytic in the open unit disk U = {z : |z| < 1}. In this note, the subclasses Sn (β, γ, a, c), Rn (β, γ, a, c; μ ), S(sup α) (sub n) (β, γ a, c) and R (sup α) (sub n) (β, γ, a, c; μ ) of A(n)(are defined and some properties of neighborhoods arę studied for functions of complex order in these classes.
8
Content available remote Convolution properties of univalent functions defined by generalized Sâlâgean operator
Murugusundaramoorthy G., Juma A. R. S., Kulkarni S. R.
Journal of Mathematics and Applications
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2008
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Vol. 30
103-112
EN
In our present work we obtained some interesting properties of convolution using the generalized Sâlâgean operator on univalent functions with rnissing coefficients, also we investigate other results by making use of subordination concept.
9
Content available remote A class of harminic starlike functions with respect to other points defined by Dziok-Srivastava operator
Murugusundaramoorthy G., Vijaya K., Auof M. K.
Journal of Mathematics and Applications
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2008
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Vol. 30
113-124
EN
Making use of Dziok-Srivastava operator we introduced a new class of complex-valued harmonie functions which are orientation preserving, univalent and starlike with respect to other points. We investigate the coefficient bounds.distortion inequalities, extreme points and inclusion results for the generalized class of functions.
10
Content available remote On certain differential subordination for sectors
Lecko A.
Demonstratio Mathematica
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2000
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Vol. 33, nr 4
741-746
11
Content available remote A convolution approach to certain subclasses of univalent functions related to complex order
Shukla N., Shukla P.
Demonstratio Mathematica
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1998
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Vol. 31, nr 2
279-284
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