Ljubomir Iliev: Selected papers

Двуезично издание на английски и на немски език.

In honour of the 100^th anniversary of the birth of Academician Ljubomir Iliev. Most of the works of Academician Ljubomir Iliev, included in this volume, are in the regions of the classical Complex Analysis intensively investigated during the last century and being still actual. The concern the zero-distribution of entire functions defined by means of Fourier transforms, singular points and analytical non-continuous ability of Taylor and Dirichlet series, and the theory of univalent functions. They are remarkable for the originality of author's ideas and their professional realization, as well as for the deepness of the corresponding results. The achievements of Academician Ljubomir Iliev are a real contribution to the Bulgarian scientific heritage.

Academician Ljubomir Iliev was an outstanding Bulgarian mathematician - one of the creators of contemporary Bulgarian mathematics. He had a leading role in developing actual regions of classical complex analysis: distribution of zeroes of entire Fountier transforms, analytical non-continuability and overconvergence of power and Dirichlet series, theory of univalent functions. His works are marked by a specific style, rich in new ideas remarkable by the elegance of results and the consistency of proofs.

Preface
Zeros of Polynomials and Entire functions

• Uber die Nullstellen gewisser Integralausdrucke. Jahresber. DMV, 48 (1938), Heft 9/12
• Uber die Nullstellen einiger Klassen von Polynomen. Tohoku Math. J., 45 (1939), Part 2
• Uber trigonometrische Polynome mit monoter Koeffizientenfolge. Jahresber. DMV, 53 (1943), Heft 1
• On the distribution of zeros of a class of entire functions. Annuaire Univ. Sofia Fac. Sci., 44 (1947/48), Livre 1 - Math. Phys.
• Uber die Nullstellen einer Klasse von ganzen Funktionen. C. R. Acad. Bulg. Sci., 2 (1949)
• Uber trigonometrische Integrale, welche ganze Funktionen mit nur reellen Nullstellen darstellen. Acta Math. Acad. Sci. Hung., 6 (1955)
• Riemannsche ganze Funktionen. SERDICA, Bulgaricae mathematicae publicationes. 1 (1975

Singular points and analytical non-continuability of Taylor and Dirchlet series

• About the singular points of the circle of convergence of a power series. Annuaire Univ. Sofia Fac. Phys-Math., 37 (1944-1945), Livre 1 - Math. Phys
• Analitically non-continuable power series. Annuaire Univ. Sofia Fac. Phys-Math, 42 (1945-1946), Livre 1 - Math. Phys
• About the singular points in the neighborhood of the abscissa of convergence of a class of Dirchlet series. Annuaire Univ. Sofia Fac. Phys-Math., 43 (1946-1947), Livre 1 - Mat. Phys
• Ein Satz uber analytische Nichtfortsetzbarkeit von Potenzreihen. C. R. Acad. Bulg. Sci., 10 (1957)
• A criterion for analytical non-continuability of power series. Dokl. Acad. Nauk, 120 (1959)
• Certain conditions for analytical non-continuability of power series. Proc. Inst. Math. Acad. Bulg. Sci., 3 (1959)
• A class of analitically non-continuable power series. Proc. Inst. Math. Acad. Bulg. Sci., 4 (1960)

Univalent functions

• A contribution to the theory of univalent functions. Annuaire Univ. Sofia Fac. Sci., 45 (1948-1949), Livre 1 - Math. Phys
• An application of a theorem of G. M. Goluzin for univalent functions. Dokl. Akad. Nauk, 69 (1949), No 4
• On the partial sums of univalent functions. Dokl. Akad. Nauk, 70 (1950), No 1
• Theorems for the 3-symmetric univalent functions. Annuaire Univ. Sofia Fac. Sci., 46 (1949-1950), Livre 1 - Math. Phys
• Uber die Abschnitte der 3-symmetrischen schlichten Funktionen. C. R. Acad. Bulg., Sci., 3 (1950), No 1
• Theorems for the 3-symmetric univalent functions. Dokl. Acad. Nauk, 84 (1952), No 1
• A theorem for the univalence of the partial sums of 3-symmetric univalent functions. Dokl. Acad. Nauk, 100 (1955), No 4
• Uber die Abschnitte der schlichten Funktionen. Acta Math. Acad. Sci. Hung., 2 (1951), No 1-2
• On the partial sums of the convex univalent functions. Annuaire Univ. Sofia Fac. Sci., 46 (1949-1950), Livre 1 - Math. Phys.
• Schlichte Funktionen, die den Einheitskreis konvex abbilden. C. R. Acad. Bulg. Sci., 5 (1952), No 2-3
• On the divided difference of bounded univalent functions. Dokl. Acad. Nauk, 100 (1955), No 5

Applications of Laguerre-Polya entire functions

• Uber einige Klassen von Polynomfolgen. C. R. Acad. Bulg. Sci., 17 (1964), No 9
• Integraldarstellung einer Klasse von Polynomenfolgen. C. R. Acad. Bulg. Sci., 18 (1965), No 1
• On some classes of entire functions and the polynomials generated by them. Proc. Inst. Math. Acad. Bulg. Sci., 10 (1969)
• Ungleichungen von Hamburger. Mathematical structures - computational mathematics - mathematical modeling 1, Papers dedicated to Professor L. Iliev's 60^th Aniversary, Acad. Bulg. Sci., 1975
• Laguerre entire functions and Turan inequalities. Studies in pure mathematics ( To the Memory of Paul Turan), Akademiai Kiado, Budapest

Miscellany

• On the Newton iterations. Annuaire Univ. Sofia Fac. Sci. 46 (1949-1950), Livre 1 - Math. Phys
• Uber Newtonsche Iterationen. Wiss. Z. Techn. Univ. Dresden, 12 (1963)
• Sur un probleme de M. D. Pompeiu. Annuaire Univ. Sofia Fac. Sci., 45 (1948-1949), Livre 1 - Math. Phys
• A contribution to the problem of D. Pompeiu. Annuaire Univ. Sofia Fac. Sci., 46 (1947-1948), Livre 1 - Math. Phys