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).
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 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.
Entrire functions and their derivatives share two finite sets.
Erratum : A value-distribution criterion for the class and some related questions
Erratum to the paper "On the disc theorem" (Ann. Polon. Math. 55 (1991), 1-10)
Due to a technical error, part of a sentence was omitted on the top of page 8. The first line should read: “where , or , means the number of folds of the covering ending at p, i.e. covering a neighbourhood of p in without covering p itself”.
Erratum to "Unique range sets in positive characteristic" (Acta Arith. 103 (2002), 169-189)
Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions.
Exceptional sets, subordination, and functions of uniformly bounded characteristic.
Exceptional values of a meromorphic function and its derivatives
Exceptional Values of Entire and Meromorphic Functions.