ABHYANKAR 82nd BIRTHDAY CONFERENCE
SPEAKER: Pradipkumar Keskar (Pillani)
TITLE: Use of birational transformations to solve some functional equations
ABSTRACT: The Newton-Puiseux expansion of an implicitly defined function
$y$ of a single variable $x$ can be obtained by using a series of quadratic
transforms. What if $y$ is defined as a function of $x$ using a functional
equation? Encouraged by some experience with exponential functions, we seek
to use birational transformations to solve some functional equations
(or corresponding recurrence relations).