AbstractThe author reports on old work of his on the transcendency of functions satisfying functional equations like F(z2)=(1−z)F(z)−z1−z He suggests a number of directions in which this work might possibly be extended
A functional equation is an equation where the unknown is a function rather than a variable. It may ...
Riemann’s functional equation was formulated by Riemann that supposedly extended the domain of the R...
In the last 30-40 years functional equations have grown to be a large, indepen-dent branch of mathem...
AbstractThe author reports on old work of his on the transcendency of functions satisfying functiona...
By a Schwarzian differential equation, we mean an equation of the form $S_{\frac{d}{dt}}(y) +(y')^2 ...
This paper surveys the history of the notion of function, back to its original identification with c...
RésuméWe describe here the state of the art in transcendence methods, proving in an abstract setting...
Everyone who takes a course in Complex Analysis learns the Schwarz lemma. The most familiar form of ...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to...
Algebraic independence of the values of Mahler functions satisfying implicit functional equations by...
We obtain some well-known expansions for the Lerch transcendent and the Hurwitz zeta function using ...
The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hur...
在這篇論文中,我們將利用值分佈的理論來探討下列函數方程解的存在性與其性質: \[\sum_{j=1}^pa_j(z)f_j(z)^{k_j}=1,\] 其中 $a_1(z),\cdots ,a_p(z...
§1. Introduction. Let $F $ be a transcendental meromorphic function in the plane. There are at most ...
A functional equation is an equation where the unknown is a function rather than a variable. It may ...
Riemann’s functional equation was formulated by Riemann that supposedly extended the domain of the R...
In the last 30-40 years functional equations have grown to be a large, indepen-dent branch of mathem...
AbstractThe author reports on old work of his on the transcendency of functions satisfying functiona...
By a Schwarzian differential equation, we mean an equation of the form $S_{\frac{d}{dt}}(y) +(y')^2 ...
This paper surveys the history of the notion of function, back to its original identification with c...
RésuméWe describe here the state of the art in transcendence methods, proving in an abstract setting...
Everyone who takes a course in Complex Analysis learns the Schwarz lemma. The most familiar form of ...
Ph.D.MathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue....
In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to...
Algebraic independence of the values of Mahler functions satisfying implicit functional equations by...
We obtain some well-known expansions for the Lerch transcendent and the Hurwitz zeta function using ...
The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hur...
在這篇論文中,我們將利用值分佈的理論來探討下列函數方程解的存在性與其性質: \[\sum_{j=1}^pa_j(z)f_j(z)^{k_j}=1,\] 其中 $a_1(z),\cdots ,a_p(z...
§1. Introduction. Let $F $ be a transcendental meromorphic function in the plane. There are at most ...
A functional equation is an equation where the unknown is a function rather than a variable. It may ...
Riemann’s functional equation was formulated by Riemann that supposedly extended the domain of the R...
In the last 30-40 years functional equations have grown to be a large, indepen-dent branch of mathem...