22On Orthogonal Decomposition of a Sobolev SpaceNov. 2016
21New Proofs on Properties of an Orthogonal Decomposition of a Hilbert Space,       Oct. 2015 
20On Orthogonal Decomposition of ℒ²(Ω), International Journal of Mathematics and     Computer Science, 10(2015), No. 1, 27-37, 
19Clifford Analysis on Orlicz-Sobolev Spaces:(with Mulugeta Alemayehu, 
    Sept. 2014
18The Fibonacci sequence via the ∑- transform, Dec. 2013   

17. Norm Estimates for Solutions of First and Second Order Elliptic BVPs of the       Dirac Operator( to be submitted), Jan. 2014     

16. W^{k,p}(Ω,Cl_{n}) - Best Approximation of a Harmonic Function ( to be             submitted).

 15.  The Intrinsic pi-Operator on Domain Manifolds in C^{n+1}, Complex Anal. Oper.     Theory Vol. 4, No. 2 (2010), pp. 271-280 (with John Ryan),

 14.   Hypersingular Integral Operators Over Weighted Sobolev Spaces                     : arXiv:0908.2406v1[math.FA]17 Aug 2009,

13.   Hyper Symmetric Mathematical Images,  

12.  On Some Discrete Differential Equations, arXiv:0805:1744v1[math.GM] 12 May         2008 ,

 11. The Spherical pi-operator,arXiv:0811.3257v1[math.CA]20,Nov 2008, 

 10.  Hyper Symmetries , American Mathematical Society's  Mathematical Imagery           2010.

 9.  W^{2,k}(Ω,Cl_{n})-Best Approximation of a gamma-Regular Function, Journal of       Applied analysis, Vol. 13, No.2(2007),pp. 259-273 (JAA).   : 


 8. Mollifiers in Clifford Analysis, arXiv:0802.1539v2[math.AP].


 7. Complete Function Systems and Decomposition Results Arising in Clifford            Analysis, Computational Methods and Function Theory, CMFT N0.1(2002)215-          228 (with John Ryan ).


6. Clifford Analytic Complete Function Systems for Unbounded Domains, Math. Meth.    Appl. Sci., Vol. 25(2002)1527-1539 (with John Ryan).


 5.  Elliptic BVPs, Cl_{0,n}-Complete Function Systems and The Clifford {\pi}-         Operator, Ph.D. Dissertation, 2000, University  of  Arkansas, Fayettevile.

 4. Over Determined Problems for Elliptic Equations , Proceedings of the 4th Int.     Coll. on Differential Equations, VSP,  International Science Publishers, The       Netherlands,(1994) 11-20 ( with Giovanni Porru). 

3.  On the Liapunov Inequality, University of Alberta, Dept. of Mathematical           Sciences, Canada, 1996

 2.  On the {\Sigma}-Transform ( Pre-print).

1.  On the Spherical Hypercomplex {\pi}-operator and the Clifford Beltrami             Equation (pre-print)

*. The ∞-order differential operator.


Book:
Hyper Symmetries: Mathematical Imagery, AuthorHouse, 2010
 " The study of mathematics, like the Nile, begins in mimuteness, but ends in magnificence"-C.C. Colton
 MATHEMATICS
  BEAUTIFUL SPARKLING MATHEMATICAL IMAGES, BY DEJENIE ALEMAYEHU LAKEW,PH.D.
 MATHEMATICS
Selected Publications and Preprints
Ancient Numeral: Ethiopic  and others
                                   Ancient Civilizations of Humankind 

Works of geometric ingenuity and imagination, the innate mathematical mind of humankind
Temple  of Zeus
     Greek
Aksum Obelisk 
       Ethiopia
Rome Colosseum
     Italy 
Pyramid of Giza            Egypt
  Temple
Mayan
Great Wall 
    China
 Stone Circles
   Russia
       Rama 
       India 

Stone Hinges
    Englnad
Ancient Numerals
         World
 Legendary Tower of 
        Babylon