ISSN 0365-1029
ANNALES
UNIVERSIT ATIS
MARIAE CURIE-SKŁODOWSKA
Sectio A
Mathematica
1994
LUBLIN
NAKŁADEM UNIWERSYTETU MARII CURIE-SKŁODOWSKIEJ
ANNALES
UNIVERSITATIS MARIAE CURIE-SKLODOWSKA LUBLIN-POLONIA
VOL. XLVIII__________________SECTIO A___________________________ 1994
AnnalesUniversitatis MariaeCurie- Sklodowska Sectio A Mathematicsis pub
lishedby the Editorial Officeof theuniversity andendeavorstopublishsignificant research papers in some selected areas of mathematics complying with scientific interest of our faculty, i.e. complex analysis, differential equations, differential geometry, functional analysis, probability. One volume of 150-200 pages is pub
lished each year.
To submit apaper for publication,an author shouldsend two copies of the manuscript to the following address:
Redakcja Annales UMCS Sectio A (Mathematica) Plac M. Curie-Sklodowskiej5
20-031 Lublin, Poland.
Thesubmission of a paper implies the author’s assurance that it has not been published, or submitted for publication elsewhere. Preference will be given to manuscripts no longer than 30 pages written in TfeX, possibly in English. Au thors of published papers will receive 25 offprints. Manuscripts submitted for publication should be neatly typed on one side of thepage only, double spaced, with generous margins. Diagramsshould bedrawn with black Indiainkon sepa
rate sheetsof glossy whitepaper and be submitted for photographic reproduction.
References should be in alphabetic-chronological order, abbreviations ofnames of journals and references to books should follow the standard form established by Mathematical Reviews, After the referee’s approval, the authors of papers written in TgXwill be requested to submit the diskette.
ISSN 0365-1029
ANNALES
UNIVERSITATIS
MARIAE CURIE-SKŁODOWSKA
Sectio A
Mathemat ica
Vol. XLVIII 1994
LUBLIN
NAKŁADEM UNIWERSYTETU MARII CURIE-SKŁODOWSKIEJ
KOMITET REDAKCYJNY
REDAKTOR NACZELNY Dt Grzegorz Leopold Seidler, Prof. UMCS
ZASTĘPCY REDAKTORA NACZELNEGO
Dr Wiesław Skrzydło, Prof. UMCS, Dr Wiesław Śladkowski, Prof. UMCS
REDAKTORZY SEKCJI
A (Mathematica) — Dr Adam Bielecki, Prof. UMCS, Dr Jan Krzyż, Prof. UMCS A (Chemia) — Dr Kazimierz Sykut, Prof. UMCS
AAA (Physica) — Dr Jan Sielewiesiuk, Prof. UMCS B (Geographia,
Geologia etc.) — Dr Józef Wojtanowicz. Prof. UMCS C (Biologia) — Dr Zbigniew Lorkiewicz, Prof. UMCS
D (Medicina) — Dr Stanisław Bryc, Prof. Akad. Med. w Lublinie DD (Medicina
Veterinaria) — Dr Zdzisław Gliński, Prof. Akad. Roln. w Lublinie DDD (Pharmacia) — Dr Romuald Langwiński, Prof. Akad. Med. w Lublinie E (Agricultura) — Dr Adam Szember, Prof. Akad. Roln. w Lublinie FE (Zootechnica) — Dr Marian Budzyński, Prof. Akad. Roln. w Lublinie EEE (Horticultura) — Dr Maria Tendaj, Prof. Akad. Roi. w Lublinie F (Historia) — Dr Wiesław Śladkowski, Prof. UMCS
FF (Philologiae) — Dr Alina Aleksandrowicz, Prof. UMCS G (Ius) — Dr Wiesław Skrzydło, Prof. UMCS
— Dr Antoni Pieniążek, Doc. UMCS - zastępca redaktora H (Oeconomia) — Dr Ryszard Orłowski, Prof. UMCS
I (Philosophia -
- Sociología) — Dr Zdzisław Cackowski. Prof. UMCS J (Paedagogia -
- Psychologia) — Dr Stanisław Popek, Prof. UMCS
Opracowanie redakcyjne: Lech Maliszewski Skład systemem TgX: Jadwiga Zygmunt
TABLE OF CONTENTS
1. R. W. BARN ARD and K. PEARCE
A Short Proof of a Conjectureon the Integral Means
of the Derivative of a Convex Function ...1 2. R. W. BARN ARD and S. RUSCHEWEYH
An Inverse Distortion Theorem for Univalent Functions
in the Unit Disk ...6 3. D. BSHOUTY and W. HENGARTNER
Univalent Harmonic Mappings in the Plane ... 12 4 J. GODULA and V. STARKOV
Estimatesof Constants Connected with Linearly Invariant
Families ofFunctions... 43 5. V. KASTEN
The Sendov-Conjecture and the Maximum Principle...52 6. J. G. KRZYZ
Universal Teichmuller Space and Fourier Series ...60 7. M. NOWAK
On Hankel Operators with Conjugate Analytic Symbols...67 8. D. PARTYK A
On the Maximal Dilatation of the Douady-EarleExtension... 80 9. P. PFLUG and G. SCHMIEDER
Remarks on the Ilief-Sendov Problem... 98 10. D. V. PROKHOROV
Methods of Optimization inCoefficient Estimates
for Bounded Univalent Functions ...106
11. M. SKWA RCZ YNSK I
The Bergman Function, Biholomorphic Invariants
and the Laplace Transform ...120 12. J. ST A N KIE WI CZ and Z. STAN KIE WICZ
On Some ClassesofFunctions Regular in a HalfPlane... 162 13. W. SZAPIEL
A New Approach to the KrzyżConjecture...169 14. J. SZYN AL
An Extension of Typically Real Functions...193
