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  • Waithaka, P. N.; Mwaura, F; Gathuru, E. M; Muriuki, B. G; Wagacha, J. M (KyU 4th Annual International Conference, 2020)
    Multi-drug resistant pathogens are a leading cause of human morbidity and mortality all over the world. We isolated actinomycetes from the soils of Menengai crater and characterized selected actinomycetes ...
  • 1. Kamau, F., Wabomba, S. M., & Ndung’u, K. J. (Asian Basic and Applied Research Journal, 2024-08)
    The spectrum of operators and quasisimilarity of m-hyponormal operators in Hilbert Spaces has been extensively studied. It has been shown that quasisimilarity of m-hyponormal operators have equal ...
  • Hussein, L.M.; Kayiita, Z.K.,; Kinyanjui, J.N. (British Journal of Mathematics&Computer Science, 2025-08-20)
    Letkanddbe a given positive integers and suppose thataris a given sequence. In this current study, we investiagate adiophantine identity relating the sums of squares and quartic from specific sequences to a variabled.In ...
  • Ongili P., Mude H. (Kirinyaga University, 2025-03-26)
    Cyclic codes are a cornerstone of coding theory. Many studies have extensively explored specific finite prime fields, GF(p). However, a generalized framework for GF(p) remains unexplored. Previous research has enumerated ...
  • Ongili, P. (Journal of Advances in Mathematics and Computer Science, 2026-04)
    Cyclotomic cosets are classical algebraic objects that arise naturally in modular arithmetic, finite field theory, and coding theory, especially in the study of polynomial factorization and cyclic codes. Traditionally, ...
  • 63. Owuor, J., Okelo, B., Owino, J., & Kinyanjui, J. (6th Annual International Conference-2023, Kirinyaga University, Virtual, 2023-03)
    Characterizations of properties of operators in a Banach space setting have been done over many years with interesting results obtained. Dentability of sets and norm-attainable mappings is one of the important properties ...
  • Owuor, J., Okelo, B., Owino, J., & Kinyanjui, J. (6th Annual International Conference-2023, Kirinyaga University, Virtual, 2023-03)
    Characterizations of properties of operators in a Banach space setting have been done over many years with interesting results obtained. Dentability of sets and norm-attainable mappings is one of the important properties ...
  • Mude, L. H.; Ndung’u, K. J. (Journal of Advances in Mathematics and Computer Science, 2025-12-09)
    Letx,y,z,d,u,vandwbe integers. This research develops and introduces the Diophantine equation(x6+y6+z6+d6)k=(x2+y2+z2+d2)k(u2+v2+w2). The equation introduces a power relationship involving sum of four sixth ...
  • Wanjala V., Adhiambo B.O., Mburu F.N. (7th Annual International Conference 2024, 2024-03)
    This paper introduces the class of k+1-*D-Operator a bounded linear operator T is said to be a k +1*D-Operator if T ∗2k+1 (T D) 2 = (T D T ∗) 2 for a positive integer k. The study investigates the basic properties of this ...
  • Okelo, B. (3rd Annual International Conferene, 2019)
    A lot of studies in operator theory are useful in applications to other disciplines like engineering and medical sciences among others. One such study is characterization of properties of operators on Hilbert ...
  • Lao Hussein Mude (2024-09)
    Let a, α, β, r, u, v, w and D be any integers and suppose that n, m, s and k are non-negative exponent. In this paper, the diophantine equation α n + β n + a(α s ± β s ) m + D = r(u k + v k + w k ) is developed ...
  • Warue Edith, Sammy W. Musundi and Jeremiah K. Ndung’u (2024-09)
    The study of operators in Hilbert spaces holds significant importance, finding broad applications in diverse fields such as computer programming, financial mathematics and quantum physics. Many authors have extended the ...
  • 2. Warue, E., Musundi, S. W., & Ndung’u, J. K. (Journal of Advances in Mathematics and Computer Science, 2024-08)
    The study of operators in Hilbert spaces is an important concept due to its wide application in areas like computer programming, financial mathematics and quantum physics. This paper focused on a class of square normal ...
  • Ongili P., Lao H, Kinyanjui J. (7th Annual International Conference 2024, 2024-03)
    The study of cyclotomic co-sets over Galois fields (GF) is a fundamental aspect of algebraic number theory. Cyclotomic co-sets are sets of integers that share common properties when raised to certain powers in a given ...
  • Kithinji, M (2020)
    During review of the trading book in the year 2013, the Basel Committee on Banking and Supervision proposed movement from 99% Value at Risk to 97.5% Expected Shortfall with a horizon of one day ...
  • Ongili, P., Mude, L. H., & Ndung’u, K. J (Journal of Advances in Mathematics and Computer Science, 2024-05)
    Research has explored the characterization of cyclic codes over GF(P), where P is prime for P ≤ 23. However, no study has characterized GF(37). Additionally, no study has generalized enumeration of the number of cyclic ...
  • 4. Ondiany, J. J. O., Karieko, O. R., Mude, L. H., & Monari, F. N (Journal of Advances in Mathematics and Computer Science, 2024-07)
    Let n be a positive integer, y n − 1 cyclotomic polynomial and Zq be a given finite field. In this study we determined the number of cyclic codes over Z31. First, we partitioned the cyclotomic polynomial y n − 1 ...
  • Hussein, L.; Kivunge, B.; Kimani, P.; Muthoka, G. (International Journal of Scientific Research and Innovative Technology, 2019)
    Let ℤ𝑞 be a finite field with 𝑞 element and 𝑥𝑛 −1 be a given cyclotomic polynomial. The number of cyclotomic cosets and cyclic codes has not been done in general. Although for different ...
  • Lao, H. (2nd International Annual Conference, 2018)
    Let ℤ𝑞 be a finite field with 𝑞 element and 𝑥 𝑛 − 1 be a given cyclotomic polynomial. The number of cyclotomic cosets and cyclic codes has not been done in general. Although for different values of 𝑞 the polynomial ...
  • Kibe K, Kayiita, Z, Ndung’u, J (Journal of Advances in Mathematics and Computer Science, 2024-07)
    In this paper, the properties of unitary quasi-equivalence on the class of w-hyponormal operators are presented using the Aluthge transform and polar decomposition property. We show that for any two unitary quasi-equivalent ...

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