An Extension of Becker's Univalence Condition.
Some Convexity and Convolution Theorems for Analytic Functions.
Funktionenfamilien mit einem Maximumprinzip und elliptische Differentialgleichungen I.
Nichtlineare Extremalprobleme für holomorphe Stieltjesintegrale.
Eine Invarianzeigenschaft der Basilevic-Funktionen.
Über die Faltung schlichter Funktionen.
Linear operators between classes of prestarlike functions.
On a Global Descent Method for Polynomials.
Geometrische Eigenschaften der Lösungen der Differentialgleichung (1-zz)2wzz - n(n + 1) w= 0.
Singuläre Eichlerintegrale und verallgemeinerte Eisensteinreihen.
On a Class of Chebyshev Approximation Problems Which Arise in Connection with a Conjugate Gradient Type Method.
Estimates for polynomials in the unit disk with varying constant terms
Let || · || be the uniform norm in the unit disk. We study the quantities Mn (α) := inf (||zP(z) + α|| - α) where the infimum is taken over all polynomials P of degree n - 1 with ||P(z)|| = 1 and α > 0. In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that infα>0Mn (α) = 1/n. We find the exact values of Mn (α) and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials.
Estimates for polynomials in the unit disk with varying constant terms
Let be the uniform norm in the unit disk. We study the quantities where the infimum is taken over all polynomials of degree with and . In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that . We find the exact values of and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials.
Über die Faltung schlichter Funktionen. II.
Riemann's Mapping Theorem for n-Analytic Functions.
On Extreme Bloch Functions with Prescribed Critical Points.
Page 1