COMPLEX FUNCTIONAL EQUATIONS WHOSE SOLUTIONS HAVE NATURAL BOUNDARIES

1975 ◽  
pp. 822-823
Author(s):  
G.R. Morris
Keyword(s):  
Functional Equations ◽  
Natural Boundaries ◽  
Complex Functional Equations

scholarly journals The Existence of Meromorphic Solutions of Some Types of Systems of Complex Functional Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Hong-Yan Xu ◽  
Jin-Lian Wang ◽  
Hua Wang
Keyword(s):  
Functional Equations ◽  
Meromorphic Solutions ◽  
Complex Functional Equations

We investigate the existence of transcendental meromorphic solutions of some types of systems of complex functional equations and obtain some results about the existence of meromorphic solutions of such systems. Our results are improvement of the previous theorems given by Gao, Xu, and Zheng, and our examples show that our results are sharp to some extent.

scholarly journals Meromorphic solutions of certain types of complex functional equations

ScienceAsia ◽  
2021 ◽  
Vol 47 (4) ◽  
pp. 520
Author(s):  
Zhi-Bo Huang ◽  
Shuang-Ting Lan ◽  
Ran-Ran Zhang
Keyword(s):  
Functional Equations ◽  
Meromorphic Solutions ◽  
Complex Functional Equations

scholarly journals Stability of Complex Functional Equations in 2-Banach Spaces

2021 ◽  
Vol 17 (3) ◽  
pp. 341-368
Author(s):  
Anshul Rana ◽  
◽  
Ravinder Kumar Sharma ◽  
Sumit Chandok ◽  
◽  
...  
Keyword(s):  
Banach Spaces ◽  
Functional Equations ◽  
Complex Functional Equations

On some functional equations related to derivations and bicircular projections in rings

2014 ◽  
Vol 49 (2) ◽  
pp. 313-331
Author(s):  
Maja Fošner ◽  
◽  
Benjamin Marcen ◽  
Nejc Širovnik ◽  
Joso Vukman ◽  
...  
Keyword(s):  
Functional Equations

Functional equations related to weightable quasi-metrics

2015 ◽  
Vol 4 (1047) ◽  
Author(s):  
M.J. Campion ◽  
E. Indurain ◽  
G. Ochoa
Keyword(s):  
Functional Equations

Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 299-320
Author(s):  
M. Eshaghi Gordji ◽  
Y.J. Cho ◽  
H. Khodaei ◽  
M. Ghanifard
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
Probabilistic Normed Spaces ◽  
Random Normed Spaces ◽  
Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

Identities related to special polynomials and combinatorial numbers

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4833-4844 ◽  
Author(s):  
Eda Yuluklu ◽  
Yilmaz Simsek ◽  
Takao Komatsu
Keyword(s):  
Generating Functions ◽  
Functional Equations ◽  
Stirling Numbers ◽  
Bernoulli Numbers ◽  
Euler Numbers ◽  
Special Polynomials ◽  
Central Factorial Numbers

The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y1(n,k,?) and y2(n,k,?) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Zp. Finally, we give remarks and comments on our results.

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