Corrigendum to “Nonlinear differential polynomials sharing a small function” [Arch. Math. 44 (2008), 41–56]
Counterexamples on non--normal functions with good integrability.
Covering properties of meromorphic functions, negative curvature and spherical geometry.
Defect relation and its realization for quasiregular mappings.
Deficient values of meromorphic functions and their derivatives.
Der 4-Werte-Satz in der Zahlentheorie
Difference independence of the Riemann zeta function
Differential analogues of the Brück conjecture
We give some growth properties for solutions of linear complex differential equations which are closely related to the Brück Conjecture. We also prove that the Brück Conjecture holds when certain proximity functions are relatively small.
Diophantine approximations and foliations
Distribution des valeurs des fonctions analytiques multiformes
Distribution of zeros and shared values of difference operators
We investigate the distribution of zeros and shared values of the difference operator on meromorphic functions. In particular, we show that if f is a transcendental meromorphic function of finite order with a small number of poles, c is a non-zero complex constant such that for n ≥ 2, and a is a small function with respect to f, then equals a (≠ 0,∞) at infinitely many points. Uniqueness of difference polynomials with the same 1-points or fixed points is also proved.
Distribution of Zeros of Certain Meromorphic Continued Fractions.
Distributions of a-points for unbounded analytic functions.
Eigenvalue asymptotics for randomly perturbed non-self adjoint operators
Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes.
Eine Vermutung von Hayman über Nullstellen meromorpher Funktionen.
Elementare Theorie der ganzen transcendenten Funktionen von endlicher Ordnung
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 their derivatives share two finite sets
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).