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ANNALES

UNIVERSITATIS MARIAE CURIE-SKŁODOWSKA

SECTIO A

MATHEMATICA

V O L. LIII LUBLIN

...11II1111 II 1111III Ulin IIIIIIIIIII m i u mm I u IIII n 11 ■ IIIi...i... . ... ...u nnuiituu!itnniiitiiumniiumnitiiiitniitnntminuni

199 8 UNIWERSYTET MARII CURIE-SKŁODOWSKIEJ

ISSN 0365-1029

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The papers in this volume are dedicated to Professor Eligiusz J. Zlot­

kiewicz, on the occasion of his sixtieth birthday, by his friends, students, and colleagues.

Eligiusz J. Zlotkiewicz is an outstanding academic teacher and research worker. His ability in posing new problems and willingness to cooperate with other mathematicians and graduate students resulted in numerous joint pa­

pers, as well as in six Ph.D. theses written under his direction. He was also very successful as an administrator acting as the chairman of the Math­

ematics Department and the dean of the Faculty.

With best wishes of a Happy Birthday

The Editors

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'Uo/'O^

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ANNALES

UN IV E R S IT ATI S MAR1AE CURIE-S KŁODO WS K A

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KOMITET REDAKCYJNY

REDAKTOR NACZELNY

Grzegorz Leopold Seidler

ZASTĘPCY REDAKTORA NACZELNEGO

Wiesław Skrzydło, Wiesław Śladkowski

REDAKTORZY SEKCJI

A MATHEMATICA Adam Bielecki, Jan Krzyż AA CHEMIA Władysław Rudziński AAA PHYSICA Jan Sielewiesiuk

B GEOGRAPHIA,

GEOLOGIA ETC. Józef Wojtanowicz C BIOLOGIA Zbigniew Lorkiewicz D MEDICINA Stanisław Bryc DD MEDICINA

VETERINARIA Zdzisław Gliński DDD PHARMACIA Romuald Langwiński

E AGRICULTURA Adam Szember EE ZOOTECHNICA Marian Budzyński EEE HORTICULTURA Maria Tendaj

F HISTORIA Wiesław Śladkowski FF PHILOLOGIAE Alina Aleksandrowicz

G IUS Wiesław Skrzydło

Antoni Pieniążek

— zastępca redaktora H OECONOMIA Ryszard Orłowski

1 PHILOSOPHIA

— SOCIOLOGIA Zdzisław Cackowski J PAEDAGOGIA

— PSYCHOLOGIA Stanisław Popek K POLITOLOGIA Jan Jachymek

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ANNALES

UNIVERSITATIS MARIAE CURIE-SKŁODOWSKA

SECTIO A

MATHEMATICA

VOL. L 11. I LUBLIN 1998

...in... ....mu... ... ... ... in m uh ...in...1111111111 ■ 1 n 111,11. u 1 ■ 11.11 1 ■ 1. ■ ■ 1.11.1

UNIWERSYTET MARII CURIE-SKLODOWSKIEJ ISSN 0365-1029

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REDAKTOR TOMU

JAN KRZYŻ

SEKRETARZ REDAKCJI

LECH MALISZEWSKI

PROJEKT OKŁADKI I STRON TYTUŁOWYCH

JERZY DURAKIEWICZ

REDAKCJA WYDAWNICZA I SKŁAD SYSTEMEM TfcX

JADWIGA ZYGMUNT

ISSN 0365-1029

WYDAWNICTWO UNIWERSYTETU MARII CURIE-SKLODOWSKIEJ PI. Marii Curie-Skłodowskiej 5, 20-031 Lublin, tel. (0-81) 537-53-02, 537-53-04,

http://press.umcs.lublin.pl

DRUK: ZAKŁAD POLIGRAFII WYDAWNICTWA UMCS

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ANNALES

UNIVERSITATIS MARIAE C U RI E - S K Ł O D O W S K A LUBLIN - POLONIA

VOL. LII. 1 SECTIO A 1998

Table of contents

Eligiusz J. Zlotkiewicz - A Biography vii

List of publications ix

1. ROGER W. BARNARD, JOSEPH C1MA and KENT PEARCE

Cesaro Sum Approximation of Outer Functions 1 2. PIERRE DOLBEAULT, JERZY KALINA and JULIAN ŁAWRYNOWICZ

Introduction to Almost Hyperbolic Pseudodistances via Intermediate

Dimensional-Invariant Measures 9

3. JANUSZ GODULA and VICTOR V. STARKOV

On Regularity Theorems for Linearly Invariant Families of Analytic

Functions in the Unit Polydisk, II 15

4. ARMEN GRIGORYAN and MARIA NOWAK

Integral Means of Harmonic Mappings 25

5. ARCADII Z. GRINSHPAN

On Some Formal and Regular Identities 35

6. DAVID J. HALLENBECK

Multipliers of Cauchy Integrals of Logarithmic Potentials II 43 7. STANISŁAWA KANAS and JAN STANKIEWICZ

Univalence of Confluent Hypergeometric Functions 51 8. JAN G. KRZYŻ

Fuchsian Groups Isomorphism, Conformally Natural Quasiconformal

Extension and Harmonic Mappings 57

9. REINER KUHNAU

Ersetzungssatze bei quasikonformen Abbildungen 65 10. ZDZISŁAW LEWANDOWSKI and JAN SZYNAL

On the Krzyż Conjecture and Related Problems II 73

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VI

11. WILLIAM MA, FUMIO MAITANI and DAVID MINDA Two-point Comparisons Between Hyperbolic and Euclidean

Geometry on Plane Regions 83

12. THOMAS H. MacGREGOR and M. P. STERNER Boundedness of an Analytic Function and the Range

of its Fractional Derivative 97

13. MARIA NOWAK

Coefficient Multipliers of Spaces of Analytic Functions 107 14. DARIUSZ PARTYKA

Eigenvalues of Quasisymmetric Automorphisms Determined

by VMO Functions 121

15. ARKADIUSZ PLOSKI

A Property of Polynomials on Complex Algebraic Sets 137 16. SAMINATHAN PONNUSAMY and FRODE R0NNING

Starlikeness Properties for Convolutions Involving Hypergeometric

Series 141

17. HEINRICH RENELT

On the Growth of Generalized Powers 157

18. JANINA ŚLADKOWSKA

Estimate of the Third Coefficient of a Univalent, Bounded,

Symmetric and Nonvanishing Function 169

19. OLLITAMMI

The First Coefficient Bodies of Bounded Real Non-vanishing

Univalent Functions 177

Cytaty

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