On the Shared Values of Entire Functions and Their Partial Differential Polynomials in C Article

Berenstein, CA, Chang, DC, Li, BQ. (1996). On the Shared Values of Entire Functions and Their Partial Differential Polynomials in C . FORUM MATHEMATICUM, 8(8), 379-396. 10.1515/form.1996.8.379

cited authors

  • Berenstein, CA; Chang, DC; Li, BQ

authors

abstract

  • Let F be a non-constant entire function in Cnand [formula ommitted] be a partial differential operator, where [formula ommitted], with all the coefficients aibeing small meromorphic functions of F. We obtain a precise necessary and sufficient condition for F to be identically equal to L(f). As a consequence, we show that F must be identically equal to L(f) if they share two distinct finite values or small meromorphic functions of F (counting multiplicities). © 1996, Walter de Gruyter. All rights reserved.

publication date

  • January 1, 1996

published in

Digital Object Identifier (DOI)

start page

  • 379

end page

  • 396

volume

  • 8

issue

  • 8