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1
Content available remote Coefficient inequalities for a subclass of Bazilevič functions
Fitri Sa’adatul, Marjono, Thomas Derek K., Wibowo R. B. E.
Demonstratio Mathematica
|
2020
|
Vol. 53, nr 1
27--37
EN
Let f be analytic in D={z:|z| < 1} with f(z)=z+∑∞n=2anzn, and for α ≥ 0 and 0 < λ ≤ 1, let B1(α,λ) denote the subclass of Bazilevič functions satisfying (…) <λ for 0 < λ ≤ 1. We give sharp bounds for various coefficient problems when f ∈ B1(α,λ), thus extending recent work in the case λ = 1.
2
On the conjecture of Hayami and Owa concerning the class R(α)
Zaprawa P.
Journal of Applied Analysis
|
2017
|
Vol. 23, nr 1
25--32
EN
In the paperwe discuss the functional Φf(μ) ≡ a2a4 − μa23 for functions in the class R(α), α ϵ [0, 1). This class consists of analytic functions which satisfy the condition Re f’ (z) > α for all z in the unit disk Δ.We show that the conjecture of Hayami and Owa [1], that is, |Φf(μ)| ≤ (1 − α)2 · max{ 1/2 – 4/9μ, 4/9μ} for all f ϵ R(α) and μ ϵ R, is false. Moreover, we find estimates of |Φf(μ)| that improve the results obtained by Hayami and Owa.
3
Content available remote Properties of certain classes of analytic functions defined by Srivastava-Attiya operator
Khairnar S., More M.
Demonstratio Mathematica
|
2010
|
Vol. 43, nr 1
55-79
EN
In this paper we introduce the class K(s,b,beta,apha) of analytic functions defined by the Srivastava-Attiya convolution operator Js,b(f) involving the Hurwitz-Lerch Zeta function. We derive few subordination results for the functions in the class K(s,b,beta,alpha) and discuss the interesting applications of subordination results with the help of convex functions. Several other properties like coefficient inequalities growth and distortion theorems, extreme points, integral mean inequalities, partial sums and quasi-Hadamard product are investigated for the class K(s,b,beta,alpha). The authors also obtain Fekete-Szego inequality for normalized analytic functions f(z) defined on the open unit disc for which [....] lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Applications of our main result involving the Owa-Srivastava operator of fractional calculus are discussed. Finally as one of the applications of our result, we derive the Fekete-Szego inequality for a class of normalized analytic functions, defined using the Hadamard product and the Owa-Srivastava operator.
4
Content available remote Subclasses of typically-real functions defined by Ruscheweyh derivative
Lecko A., Lecko M., Yaguchi T.
Demonstratio Mathematica
|
2008
|
Vol. 41, nr 4
823-832
EN
For each lambda>- 1 let TR(lambda) be the class of all functions f analytic in D= {z is an element of C : \z\ < 1} of the form f (z) = [...] having real coefficients and satisfying the condition [...] where Llambda denote the Ruscheweyh derivative. Some basic properties of functions in are presented.
5
Content available remote On certain class of analytic functions associated with a convolution structure
Murugusundaramoorthy G., Raina R.
Demonstratio Mathematica
|
2008
|
Vol. 41, nr 3
551-559
EN
Making use of a convolution structure, we introduce a new class of analytic functions defined in the open unit disc and investigate its various characteristics. Apart from deriving a set of coefficient bounds, we establish several inclusion relation-ships involving the (n, [...)-neighborhoods of analytic functions with negative coefficients belonging to this subclass.
6
Content available remote Certain sufficienty conditions on Fox-Wright function
Chaurasia V., Parihar H.
Demonstratio Mathematica
|
2008
|
Vol. 41, nr 4
813-822
EN
The main object of this paper is to find certain conditions for the function [...] to be a member of certain subclasses of analytic functions. Our results provides generalization of some recent results due to Swaminathan [19] and Chaurasia and Srivastava [20].
7
Content available remote Functions convex in the positive direction of the imaginary axis
Lecko A.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 3
567-574
EN
The aim of this paper is to present a new method of the proof of an analytic characterization of functions convex in the positive direction of the imaginary axis.
8
Content available remote Special differential inequalities and their applications in the theory of regular function
Kowalczyk J.
Journal of Mathematics and Applications
|
2006
|
Vol. 28
85-91
EN
Let C denote the compIex pIane and Iet U denote the open unit disk. In this paper the second order nonlinear differential inequalities are investigated. Properties of the function which satisfies such differential inequalities are derived. Some applications in the theory of univalent function are presented.
9
Some families of meromorphically multivalent functions and their applications
Dziok Jacek, Irmak H.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
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.
10
Properties of subordination chains and transition mappings in several complex variables
Curt Paula, Kohr Gabriela
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2004
|
z. 27 [212]
11-18
EN
Let B be the unit ball of Cn with respect to the Euclidean norm and f[z,t} be a Loewner chain. In this paper we study certain properties of f(z,t) and we obtain a sufficient condition for the transition mapping associated to f(z,t) to generate this chain.
11
Starlikeness of a class of functions
Singh Vikram
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2002
|
z. 26 [199]
135-139
EN
We improve a result in Mocanu and Oros [1].
12
Relations betweensome subclasses of Caratheodory class
Jurasińska R.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2002
|
z. 26 [199]
77-87
EN
Let U = {z is an element of C : \z\ < 1} denote the unit disc and let H = H(U) denote the family of functions holomorphic in U. Let omega denote the class of Schwarz functions w is an element of H such that [...]. We say that / is subordinate to g in U and write [...].
13
KIlka refleksji dotyczących funkcji jednolistnych ograniczonyh
Jakubowski Zbigniew
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2002
|
z. 26 [199]
5-30
PL
Celem niniejszego artykułu jest: 1) Przypomnienie kilku elementarnych rezultatów analizy zespolonej, które stanowiły podstawę rozwoju geometrycznej teorii funkcji. 2) Sformułowanie klasycznych zagadnień wywodzących się z rozważań pierwszego punktu. 3) Przypomnienie podstawowych własności klas S oraz sumy funkcji holomorficznych i jednolistnych. 4) Omówienie zasadniczych własności klasy S(M), M > l, odwzorowań jednolistnych ograniczonych. 5) Sformułowanie kilku uwag o rezultatach matematyków łódzkich dotyczących rodziny S(M).
14
On certain subclasses of meromorphically p-valent functions
Patel J., Sahoo P.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2001
|
z. 25 [190]
139-149
EN
The object of the present paper is to investigate some properties and characteristics of the subclasses summation n,p (alpha) and [...]n,p (alpha) of meromorphically p-valent functions in the annulus U ={z :0 <\z\ <1}. We also study certain integrals of functions belonging to these classes.
15
Remarks on shell-like functions
Sokół J.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
111-116
EN
Let delta = {z : \z\ < 1} denote the unit disc. We give some remarks on a subclass of starlike functions f such that [...].
16
Radius of strong starlikeness of certain p-valent analytic functions
Gangadharan A., Ravichandran V., Shanmugam T.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
37-47
EN
Let Q (z) be a polynomial of degree n > 0 with no zeros in \z\ < R, R > 1, f (z) be analytic in [delta] = {z : \z\ < 1} . The Radius of strong starlikeness of the function F (z) = f (z) [Q (z)] " ,beta /n real, is computed under various conditions on f (z).
17
On the univalence for integral operators
Blezu D., Raducanu D.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
15-20
EN
The aim of this paper is to obtain some univalence criteria in connection with integral operators due to E. Cazacu, S. Moldovan and N.N. Pascu. In this sens we use an other univalence criterion which is based on the well-known Decker's criterion but is does't depend on \z\. For this reason these are easy used for practical applications.
18
On first order differential subordination connected with parabola
Lecko A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
49-54
EN
Let D = {z : \z\ < 1} denote the unit disk. For gamma [is not equal to]0, Re[gamma] > 0, we investigate some properties of the differential subordination of the form p{z)+gammazp'\z) [...]P{z), z is an element of D, where P is given by (1.1).
19
Geometric characterization of strongly starlike functions
Wiśniowska A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
154-158
EN
For fix 0 < alpha <, 1, denote by S* (alpha) the class of all strongly starlike functions of order a. We present an internal geometric characterization of functions in the classes S* (alpha).
20
On starlike functions connected with Fibonacci numbers
Sokół J.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
z. 23 [175]
111-116
EN
Let delta={z:|z[<1} denote the unit disc. We investigate some properties of a subclas of starlike functions defined by DEF.`. The coefficients of such functions are connected with Fibonacci numbers.
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