On semiconjugate rational functions

On characterizations of the fully rational fuzzy choice functions

In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzycongruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. Weexpress full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.

Hecke Operators on Rational Functions

Contents 1. Introduction 1 2. Some preliminaries 5 3. The point spectrum of U p 7 4. A structure theorem for eigenfunctions 14 5. A decomposition into finite dimensional eigenspaces 21 6. Simultaneous eigenfunctions 23 7. A first application: tensor products of Hecke operatorsand the Riemann zeta function 27 8. A second application: completely multiplicative coefficients 30 9. Appendix: Explici...

Wall rational functions and Khrushchev’s formula for orthogonal rational functions

We prove that the Nevalinna-Pick algorithm provides different homeomorphisms between certain topological spaces of measures, analytic functions and sequences of complex numbers. This algorithm also yields a continued fraction expansion of every Schur function, whose approximants are identified. The approximants are quotients of rational functions which can be understood as the rational analogs ...

A Note on Rational Arithmetic Functions

On the Taylor Coefficients of Rational Functions