Ensembles de Julia de mesure positive
Ensembles de Julia et propriétés de localisation des entiers algbériques.
Ensembles fermés polynomialement convexes
Entire function sharing two polynomials with its th derivative
We investigate the uniqueness problem of entire functions that share two polynomials with their th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.
Entire functions and logarithmic sums over nonsymmetric sets of the real line.
Entire functions and their derivatives share two finite sets
Entire functions of bounded index over non-Archimedean field
Entire Functions of Finite Order and Lines of Julia.
Entire functions of order , with bounds on both axes.
Entire functions that share a function with their first and second derivatives
Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).
Entire functions that share fixed-points.
Entire functions that share values or small functions with their derivatives
We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.
Entire functions that share values with their derivatives.
Entire functions with a given sequence of zeros and of regular behavior on the real axis. I.
Entire Functions with Asymptotic Functions.
Entire Functions with Maximum Deficiency Sum and their Means.
Entire solutions of q-difference equations and value distribution of q-difference polynomials
We investigate the existence and uniqueness of entire solutions of order zero of the nonlinear q-difference equation of the form fⁿ(z) + L(z) = p(z), where p(z) is a polynomial and L(z) is a linear differential-q-difference polynomial of f with small growth coefficients. We also study the zeros distribution of some special type of q-difference polynomials.
Entrelacement de co-Poisson
On connaît le lien intime qui existe entre les équations fonctionnelles des fonctions et les formules sommatoires dont le prototype est donné par celle de Poisson. Ce lien fait intervenir la transformation intégrale de Fourier et ses généralisations. Ici, nous réexaminons la signification harmonique (ainsi qu’hilbertienne et distributionnelle) des équations fonctionnelles ayant la forme la plus simple, à savoir, celle s’appliquant pour la fonction dzêta de Riemann et les séries de Dirichlet...
Entrire functions and their derivatives share two finite sets.
Entropie de l'image inverse d'une application