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Complex delay-differential equations of Malmquist type
P. Nagaswara,S. Rajeshwari 한국전산응용수학회 2022 Journal of applied mathematics & informatics Vol.40 No.3
In this paper, we investigate some results on complex delay-differential equations of the classical Malmquist theorem. A classic illustrations of their results states us that if a complex delay equation w(t+1) + w(t-1)= R(t , w) with R(t,w) rational in both arguments admits (concede) a transcendental meromorphic solution of finite order, then deg_w R(t,w)\le 2. Development and upgrade of such results are presented in this paper. In addition, Borel exceptional zeros and poles seem to appear in special situations.
STUDY OF ENTIRE AND MEROMORPHIC FUNCTION FOR LINEAR DIFFERENCE-DIFFERENTIAL POLYNOMIALS
S. RAJESHWARI,P. NAGASWARA The Korean Society for Computational and Applied M 2023 Journal of applied and pure mathematics Vol.5 No.5
We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.
Study of entire and meromorphic function for linear difference-differential polynomials
S. Rajeshwari,P. Nagaswara 한국전산응용수학회 2023 Journal of Applied and Pure Mathematics Vol.5 No.5
We investigate the value distribution of difference-differential polynomials of entire and meromorphic functions, which can be gazed as the Hayman's Conjecture. And also we study the uniqueness and existence for sharing common value of difference-differential polynomials.