schlicht function

schlicht function

[′shlikt ‚fəŋ·shən]
(mathematics)
References in periodicals archive ?
Sheil-Small, "Hadamard products of SCHlicht functions and the Polya-SCHoenberg conjecture," Commentarii Mathematici Helvetici, vol.
WIRTHS, Sharp inequalities for the coefficient of concave schlicht functions, Comment.
Although the distortion theorem gives sharp bounds for the modulus of the derivative of functions in the class S, it cannot be applied to the bigger class of locally schlicht functions defined on D satisfying the normalized Bloch conditions f(0) = 0 = f'(0) - 1 (recall that a holomorphic function f is locally schlicht on D if f'(z) [not equal to] 0 for all z [member of] D).
In this article we extend the results of Liu and Minda [6] to the logarithmic Bloch space [B.sub.log] which we define in Section 3; we obtain lower bounds for the modulus and the real part of the derivative of locally schlicht functions and for functions having branch points in the closed unit ball of [B.sub.log] satisfying a normalized Bloch condition f(0) = 0 = f'(0)-1.
Kaplan, Close to convex schlicht functions, Michigan Math journal., 1(1952), 169185.
Nehari, The Schwarzian derivative and schlicht functions, Bull.
Kaplan, Close-to-convex schlicht functions, Michigan Math.
Sheil-Small, Hadamard products of Schlicht functions and the Polya-Schoenberg conjecture, Comment.Math.
Robertson, Convolutions of schlicht functions, Pacific J.
[3] Clunie J., 1959, On meromorphic schlicht functions, J.
Kaplan, "Close-to-convex schlicht functions," Michigan Mathematical Journal, vol.
Sheil-Small, Hadamard product of Schlicht functions and the Polya-Schoemberg conjecture, Comment, Math.