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University of the Witwatersrand, Johannesburg, MunagiA

Doctor Augustine Munagi


Senior Lecturer

PhD

Research Interests

Enumerative Combinatorics , Theory of Partitions, q-Series Analysis.

Office :    CB 216b
Tel :        +27 (0) 11 717 6231
Fax :       +27 (0) 11 717 6259
Email:      augustine.munagi@wits.ac.za

Publications

  1.  A. O. Munagi, k-complementing subsets of nonnegative integers, Int. J. Math. Math. Sci. 2005, no. 2, 215--224.                             

  2. A. O. Munagi, Set partitions with successions and separations, Int. J. Math. Math. Sci. 2005, no. 3, 451--463. 

  3. A. O. Munagi, Combinations with successions and Fibonacci numbers, Fibonacci Quart. 45.2 (2007) 104--114.

  4. A. O. Munagi, Computation of q-partial fractions, Integers 7 (2007), A25, 21 pp. (electronic).

  5. A. O. Munagi, Pairing conjugate partitions by residue classes, Discrete Math. 308(12) (2008) 2492--2501.

  6. A. O. Munagi, Extended set partitions with successions, European J. Combin. 29 (5) (2008) 1298--1308.

  7. A. O. Munagi, The Rademacher conjecture and q-partial fractions, Ramanujan J. 15 (3) (2008), 339--347.

  8. A. O. Munagi and T. Shonhiwa, On the partitions of a number into arithmetic progressions, J. Integer Seq. 11 (2008), #08.5.4.

  9. T. Mansour, A.O. Munagi, Enumeration of partitions by long rises, levels and descents, J.  Integer Seq. 12 (2009), #09.1.8.

  10. A. Knopfmacher, A. O. Munagi, Successions in integer partitions, Ramanujan J. 18 (3) (2009), 239--255.

  11. A. O. Munagi, Labeled factorization of integers, Electron. J. Combin. 16 (2009), no. 1, Research Paper 50, 17pp.

  12. A. Knopfmacher and A. O. Munagi, Permutations with interval cycles, Ars Combinatoria, to appear.

  13. T. Mansour and A. O. Munagi, Enumeration of partitions by rises, levels and descents, Proceedings of The 5th conference on Permutation Patterns, 2007, to appear.

  14. A. O. Munagi, Generalized alternating subsets with permutations, Proceedings of the 13th conference on Fibonacci Numbers and their Applications, 2008, to appear.

  15. N. Y. Lee, T. Mansour and A.O. Munagi, Plane trees and reduction rules, Utilitas Mathematica, to appear.

  16. A. O. Munagi, Alternating Subsets and Successions, Ars Combinatoria, to appear.

  17. A. O. Munagi, Alternating Subsets and Permutations, Rocky Mountain Journal of Mathematics, to appear.

  18. A. O. Munagi, A. Knopfmacher and T. Mansour, Recurrence Relation with two indices and plane compositions, Journal of Difference Equations and Applications, to appear.

  19. T. Mansour, A.O. Munagi, Block-connected set partitions, European Journal of Combinatorics, to appear.

  20. A. Knopfmacher, T. Mansour, A. O. Munagi, H. Prodinger, Staircase words and Chebyshev polynomials, Applicable Analysis and Discrete Mathematics, to appear.

     

    Submitted Papers

    1. “Avoiding permutation patterns of type (2,1) in compositions” (with S. Heubach and T. Mansour).

    2. “Combinatorics of integer partitions in arithmetic progression.”
    3. “Alternating Subsets Modulo m”, (with T. Mansour).
    4. “Enumeration of Gap-Bounded Set Partitions”, (with T. Mansour).

    5. “Inversions in Compositions of Integers” (with A. Knopfmacher, M. E. Mays).