article
On a coefficient problem for bi-univalent functions
Proceedings of the American Mathematical Society · 1967 · Vol. 18(1) · pp. 63–68
Abstract
The function f(z) will be called bi-univalent if both f(z) and f-'(z) are univalent in I zI < 1; f(z) will be said to belong to oiff (i) f(z) CS and (ii) there exists a function g(z) ES such that f(g(z)) =g(f(z)) = z in some neighborhood of the origin. Z. Nehari remarked1 that if 4(Z) =4lz+02z2+ ... and i,V(z) lZ +V/2Z2 + * *, with 41, =41, are two functions mapping the open unit circle onto a schlicht domain containing the open unit circle, then the function
Analytic and geometric function theoryFunctional Equations Stability ResultsChemical synthesis and pharmacological studiesUnit circleUnit (ring theory)Function (biology)Unit diskCombinatoricsDomain (mathematical analysis)MathematicsUnivalent functionPhysicsMathematical analysis
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