Page 1 Next

Displaying 1 – 20 of 36

Showing per page

Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials

Harina P. Waghamore, Ramya Maligi (2020)

Communications in Mathematics

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 on the results of Cao and Zhang

Sujoy Majumder, Rajib Mandal (2022)

Mathematica Bohemica

We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials P ( f ) i = 1 k ( f ( i ) ) n i and P ( g ) i = 1 k ( g ( i ) ) n i 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 Cesàro operators on certain function spaces

Sunanda Naik (2010)

Annales Polonici Mathematici

Motivated by some recent results by Li and Stević, in this paper we prove that a two-parameter family of Cesàro averaging operators b , c is bounded on the Dirichlet spaces p , a . We also give a short and direct proof of boundedness of b , c on the Hardy space H p for 1 < p < ∞.

Good-irreducible inner functions on a polydisc

Eric T. Sawyer (1979)

Annales de l'institut Fourier

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.

Currently displaying 1 – 20 of 36

Page 1 Next