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On the number of zeros of bicomplex entire functions

Abdul Liman|Shahbaz Mir
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2023.09|한국수학논문집 (Korean Journal of Mathematics)|제31권 제3호|pp. 339-347

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참고문헌

키워드

entire functionBicomplex numberdiscusSchwartz's lemmaEneström-Kakeya Theorem
주제분류수학

초록

This paper portrays the results on bicomplex entire functions that are concerned with the positioning of zeros of Eneström-Kakeya type. Moreover, some examples are provided to validate our results.

Abstract

This paper portrays the results on bicomplex entire functions that are concerned with the positioning of zeros of Eneström-Kakeya type. Moreover, some examples are provided to validate our results.

참고문헌 (13)

  1. M. Bidkham, "Generalization of the Gauss-Lucas theorem for bicomplex polynomials", Turk. J. Math, 41, pp.1618~1627 (2017)
  2. N. Carney, "The Enestr¨om-Kakeya theorem of a quaternionic variable", J. Appl. Theory, 250, pp.105~325 (2020)
  3. J. B. Conway, "Function of one complex variable" (1978), Springer-Verlag
  4. N. K. Govil, "On the Enestrom-Kakeya theorem II", Tohoku Math. J, 20, pp.126~136 (1968)
  5. A. Joyal, "On the location of zeros of polynomials", Can. Math. Bull, 10, pp.53~63 (1967)
  6. J. Kumar, "On a class of entire bicomplex sequences", South East Asian J. Math. Sci, 5(3), pp.47~67 (2007)
  7. M. E. Luna-Elizarrar´as, "Bi-complex Holomorphic Functions, The Algebra, Geometry and Analysis of Bi-complex Numbers", Birkh¨auser, ~ (2015)
  8. M. E. Luna-Elizarrar´as, "Bi-complex numbers and their elementary functions", Cubo, 14(2), pp.61~80 (2012)
  9. M. Marden, "Geometry of Polynomials", Math. Surveys, 3 (1966), Amer. Math. Soc
  10. A. A Pogorui, "On the set of zeros of bi-complex polynomials", Complex Variables and Elliptic Equations, 51, pp.7~ (2006)
  11. G. B. Price, "An Introduction to Multicomplex Spaces and Functions, Monographs and Textbooks in Pure and Applied Mathematics" (1991), Marcel Dekker, Inc
  12. C. Segre, "Le rappresentation reali delle forme complesse e gli enti iperalgebrici", Math. Ann, 40, pp.413~467 (1892)
  13. W. M. Shah, "On Enestrom-Kakeya theorem and related analytic functions", Proc. Indian Acad. Sci, 3, pp.359~370 (2007)

관련 논문AI추천

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