scholarly journals Gegenbauer Polynomial Method for Linear Complex Differential Equations

2018 ◽  
Author(s):  
Faruk Düşünceli ◽  
Ercan Çelik
Keyword(s):  
Differential Equations ◽  
Polynomial Method ◽  
Linear Complex ◽  
Gegenbauer Polynomial ◽  
Complex Differential Equations

scholarly journals Further study on solutions of some non-linear homogeneous differential equations in connection to Brück conjecture

2021 ◽  
Vol 29 (2) ◽  
Author(s):  
DILIP CHANDRA PRAMANIK ◽  
KAPIL ROY
Keyword(s):  
Differential Equations ◽  
Difference Equations ◽  
Linear Differential Equations ◽  
Linear Complex ◽  
Non Linear ◽  
Complex Differential Equations ◽  
Sharing Function ◽  
Linear Differential ◽  
Brück Conjecture

In this paper, using the theory of complex differential equations, we study the solution of some non-linear complex differential equations in connection to Brück conjecture which generalized some earlier results due to Pramanik, D. C. and Biswas, M., On solutions of some non-linear differential equations in connection to Bruck conjecture, Tamkang J. Math., 48 (2017), No. 4, 365–375; and Wang, H., Yang, L-Z. and Xu, H-Y., On some complex differential and difference equations concerning sharing function, Adv. Diff. Equ., 2014, 2014:274.

scholarly journals On solutions of some non-linear differential equations in connection to Bruck Conjecture

2017 ◽  
Vol 48 (4) ◽  
pp. 365-375
Author(s):  
Dilip Candra Pamanik ◽  
Manab Biswas
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Entire Solutions ◽  
Linear Complex ◽  
Non Linear ◽  
Complex Differential Equations ◽  
Linear Differential ◽  
Brück Conjecture

In this paper, we investigate on the non-constant entire solutions of some non-linear complex differential equations in connection to Br\"{u}ck conjecture and prove some results which improve and extend the results of Xu and Yang\bf{[Xu HY, Yang LZ. On a conjecture of R. Br\"{u}ck and some linear differential equations. Springer Plus 2015; 4:748,:1-10, DOI 10.1186/s40064-015-1530-5.]}

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