Coefficient bounds for biholomorphic mappings which have a parametric representation

Kernel Convergence and Biholomorphic Mappings in Several Complex Variables

We deal with kernel convergence of domains in Cn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem, and the kernel convergence. Moreover, we obtain certain consequences of this equivalence in the study of Loewner chains and of starlike and co...

Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces

This paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   The main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

Coefficient inequality for perturbed harmonic mappings

Bounds for Parametric Sequence Comparison

We consider the problem of computing a global alignment between two or more sequences subject to varying mismatch and indel penalties. We prove a tight 3(n=2 )+O(n log n) bound on the worst-case number of distinct optimum alignments for two sequences of length n as the parameters are varied. This re7nes a O(n) upper bound by Gus7eld et al., answering a question posed by Pevzner and Waterman. Ou...

Certain Coefficient Bounds for p-Valent Functions