Ganze Funktionen mit negativen Nullstellen.
Gap Series and Normal Functions.
Gap Series with Rapid Growth in the Unit Disc.
Gap-interpolation theorems for entire functions.
Generalised proximate order of meromorphic functions
Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials
The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13].
Generalizations of growth constants, I
Generalizations on the results of Cao and Zhang
We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials and share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp.
Generalized analytic functions with applications to singular ordinary and partial differential equations [Book]
Generalized Cesàro operators on certain function spaces
Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators is bounded on the Dirichlet spaces . We also give a short and direct proof of boundedness of on the Hardy space for 1 < p < ∞.
Generalized logarithmic means of an entire Dirichlet series. I
Generalized Quadratic mean Function of entire Functions Defined by Dirichlet series (I)
Generalized Quadratic Mean Function of Entire Functions Defined by Dirichlet Series (III)
Generalized quadratic mean Functions of Entire Functions Defined by Dirichlet Series
Geometry of the locus of polynomials of degree 4 with iterative roots
We study polynomial iterative roots of polynomials and describe the locus of complex polynomials of degree 4 admitting a polynomial iterative square root.
Good-irreducible inner functions on a polydisc
An explicit formula is developed for Nevanlinna class functions whose behaviour at the boundary is “sufficiently rational” and is then used to deduce the uniqueness of the factorization of such inner functions. A generalization of a theorem of Frostman is given and the above results are then applied to the construction of good and/or irreducible inner functions on a polydisc.
Graphs and functional equations.
Green functions on self-similar graphs and bounds for the spectrum of the laplacian
Combining the study of the simple random walk on graphs, generating functions (especially Green functions), complex dynamics and general complex analysis we introduce a new method for spectral analysis on self-similar graphs.First, for a rather general, axiomatically defined class of self-similar graphs a graph theoretic analogue to the Banach fixed point theorem is proved. The subsequent results hold for a subclass consisting of “symmetrically” self-similar graphs which however is still more general then...
Growth and fixed points of meromorphic solutions of higher order linear differential equations
We investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Our results extend the previous results due to Peng and Chen.
Growth and oscillation of differential polynomials in the unit disc.