Wyniki wyszukiwania - BazTech

1

On coefficient problems of an operator with respect to symmetric point

Terwase A. P., Darus M.

Fasciculi Mathematici

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2016

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Nr 57

147--155

EN

In this research work, we study the properties of a certain differential subordination involving an operator with respect to a symmetric point. We establish coefficient estimates as our main results.

2

On the geometrical properties of some classes of complex harmonic functions defined by analytic or coefficient conditions with complex parameter

Sibelska A.

Journal of Applied Analysis

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2014

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Vol. 20, nr 1

77--85

EN

In the paper there are determined, for some classes defined by coefficient or analytic conditions, the sets of complex parameter γ, for which all the functions of the appropriate family have some geometrical properties. There are also provided the examples of the mappings showing that some inclusions between classes are impossible or confirming that sets of the parameter γ cannot be extended in some cases without loss of these geometric properties.

3

On multivalently analytic and multivalently meromorphic functions

Irmak H., Stankiewicz J., Wilczek K.

Journal of Mathematics and Applications

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2006

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Vol. 28

75-84

EN

In the present investigation, some theorems involving certain inequalities between multivalently analytic functions in the unit disk U and multivalently meromorphic functions in the punctured unit disk D are stated. AIso certain interesting consequences of main results are given.

4

On complex mappings harmonic in the unit disc with some coefficient conditions

Łazińska Anna

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

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2002

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z. 26 [199]

107-116

EN

Let h = u + w, where u,v are real harmonic functions in the unit disc delta. Such functions are called complex mappings harmonic in delta. The function h may be written in the form h = f + g, where f, g are functions holomorphic in the unit disc, of course. Studies of complex harmonic functions were initiated in 1984 by J. Clunie and T. Sheil-Small ([CS-S]) and were continued by many others mathematicians. We can find some papers on functions harmonic in delta, satisfying certain coefficient conditions, e.g. [AZ], [S], [G]. We investigate some more general problems, which appeared during the seminar conducted by Professor Z. Jakubowski.

5

The integral inequalities for alpha-star-convex functions

Kanas S., Kowalczyk J.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

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2001

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z. 25 [190]

71-80

EN

Let alphis an element of [0,1]. A function f :I -> R (0 is an element of I) is said to be alpha-star-convex on [...]. In this note we will present new geometric interpretation of alpha-star-convex functions and some Hadamards' like integral inequalities for such functions.

6

On the starlikeness of certain integral operators

Patel J., Mohanty A.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

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2000

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z. 24 [181]

79-85

EN

Let A (p) denote the class of functions f (z) =zp+[summation]infinity/k=p+1akzk analytic in the unit disc E. In this paper, we obtain a condition for starlikeness of the integral operator [...].

7

Generalized problem of starlikeness for some classes of analytic functions

Dziok J.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

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1999

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z. 23 [175]

39-51

EN

For some class [..] of analytic functions we determined the set of the parameters (a,r), a is an element of K = K(Q, 1), A(a,r) = {z : \z - a| < r}, |a| < r < 1 - |a|, such that any function from [...] maps the disk K(a,r) onto a domain starlike with respect to the origin.