Bibliography for DeMoivre's Theorem

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  1. An extension of the theorem of De Moivre by means of N-fractional calculus and some identities.
    Nishimoto, K.; de Romero, Susana S.; Fuenmayor, Marlenys; Prieto, Ana I.
    J. Fract. Calc. 23 (2003), 113--120, MathSciNet.  
  2. Euler's formula and De Moivre's formula for quaternions.
    Cho, Eungchun
    Missouri J. Math. Sci. 11 (1999), no. 2, 80--83, MathSciNet.  
  3. De Moivre's quintic and a theorem of Galois.
    Spearman, Blair K.; Williams, Kenneth S.
    Far East J. Math. Sci. (FJMS) 1 (1999), no. 1, 137--143, MathSciNet.  
  4. The Pascal-de Moivre triangles.
    Ericksen, Larry
    Fibonacci Quart. 36 (1998), no. 1, 20--33, MathSciNet.  
  5. De Moivre-type identities for the Tribonacci numbers.
    Lin, Pin Yen
    Fibonacci Quart. 26 (1988), no. 2, 131--134, MathSciNet.  
  6. De Moivre's formula for quaternions
    Cho, E.  
    Applied Mathematics Letters, v 11, n 6, Nov, 1998, p 33-35, Compendex.  
  7. Multicomponent number systems.
    Majerník, V.
    Acta Phys. Polon. A 90 (1996), no. 3, 491--498, MathSciNet.  
  8. Generalization of the de Moîvre formulas for quaternions and octonions.
    Leite, F. Silva; Vitória, José
    Mathematical studies in honor of Professor Luís de Albuquerque (Portuguese), 121--133, Univ. Coimbra, Coimbra, 1994, MathSciNet.  
  9. Generalized de moivre's theorem, quaternions, and lorentz transformations on a Minkowski space
    Reed, Irving S.
    Linear Algebra and Its Applications, v 191, Sep 15, 1993, pp. 15--40, Compendex.  
  10. De Moivre-type identities for the tetrabonacci numbers
    Lin, Pin-Yen
    Proceedings of the International Conference on Fibonacci Numbers and Their Applications, Vol. 4, 1991, pp. 215--218, Compendex.  
  11. Products of Sines and Cosines
    Steven Galovich
    Mathematics Magazine, Vol. 60, No. 2 (Apr., 1987), pp. 105-113, Jstor.  
  12. Extension of de Moivre's theorem.
    Ramachandra, K. V.
    Vignana Bharathi 4 (1978), no. 1, 42--48, MathSciNet.  
  13. Multiple Numbers
    John A. Tierney; John Tyler
    Mathematics Magazine, Vol. 31, No. 1 (Sep., 1957), pp. 27-29, Jstor.  
  14. Complex Numbers and Trigonometry
    D. E. Richmond
    The American Mathematical Monthly, Vol. 64, No. 7 (Aug., 1957), pp. 478-485, Jstor.  
  15. Quaternions and Reflections
    H. S. M. Coxeter
    The American Mathematical Monthly, Vol. 53, No. 3 (Mar., 1946), pp. 136-146, Jstor.  
  16. Generalisation of De Moivre's and Fourier's theorems to matrices.
    Cheng, Tseng-Tung
    Coll. Papers Sci. Engin. Nat. Univ. Amoy 1, (1943). 65--68, MathSciNet.  
  17. A Calculus of Sequences
    Morgan Ward
    American Journal of Mathematics, Vol. 58, No. 2 (Apr., 1936), pp. 255-266, Jstor.  
  18. Discussions: On the exponential Notation for Circular Functions
    H. L. Slobin
    The American Mathematical Monthly, Vol. 31, No. 9 (Nov., 1924), pp. 443-444, Jstor.  
  19. The Use of an Existence Theorem in Developing the Properties of the Sine and Cosine
    H. T. Davis
    The American Mathematical Monthly, Vol. 30, No. 1 (Jan., 1923), pp. 19-22, Jstor.  
  20. Discussions: A Theorem on Hypocycloids, by the Method of Circular Coordinates
    T. L. Bennett
    The American Mathematical Monthly, Vol. 28, No. 10 (Oct., 1921), pp. 371-376, Jstor.  
  21. A Direct Proof of De Moivre's Formula  
    S. Lefschetz
    The American Mathematical Monthly, Vol. 23, No. 10 (Dec., 1916), pp. 366-368, Jstor.   
  22. Note on Certain Algebraic Equations
    Hermon L. Slobin
    The American Mathematical Monthly, Vol. 21, No. 4 (Apr., 1914), pp. 113-115, Jstor.  
  23. On DeMoivre's Quintic   
    R. L. Borger
    The American Mathematical Monthly, Vol. 15, No. 10 (Oct., 1908), pp. 171-174, Jstor.  
  24. An Analog to De Moivre's Theorem in a Plane Point System  
    E. W. Hyde
    The Annals of Mathematics, Vol. 11, No. 1/6 (1896), pp. 129-136, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006