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On multivalently analytic and multivalently meromorphic functions

Irmak H., Stankiewicz J., Wilczek K.

Journal of Mathematics and Applications

2006

Vol. 28

75-84

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.

Some families of meromorphically multivalent functions and their applications

Dziok Jacek, Irmak H.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2004

z. 27 [212]

19-23

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.

Certain operators and inequalities and their applications to meromorphically multivalent functions

Dziok J., Irmak H.

Demonstratio Mathematica

2003

Vol. 36, nr 4

839--846

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.

Certain classes and inequalities and their applications to multivalently analytic functions

Dziok J., Irmak H.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2001

z. 25 [190]

55-62

Using fractional calculus introduced by S. Owa we define two classes of analytic functions. Some sufficient conditions for functions to belong to these classes are given. Moreover consequences of main results are also pointed out.