Application of Jensen’s integral formulae on polynomials with entire functions of positive real parts and Gauss mean value theorem

Författare

  • G.N. Emenogu Department of of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria.
  • , I.C. Yemisi Department of Mathematics, National Open University, Nigeria
  • E.I. Edugbe §Department of Mathematics, Abia State University, Uturu, Nigeria
  • C. Chigozie Department of Insurance, University of Jos, Jos, Nigeria
  • B.O. Osu Department of Mathematics, Abia State University, Uturu, Nigeria

Nyckelord:

Jensen’s formulae, polynomials, complex variable, meromorphic functions, zeros, roots of multiplicity

Abstract

In this study, new theorems with proofs for new inequalities on polynomials which are of the importance in the theory of transcendental numbers, the product of polynomials and their associated roots were developed. Jensen’s integral formula was applied to obtain new results about the bounds on the poles and roots of complex functions with positive real parts and Gauss Mean Value Theorem through the relationship between the coefficients and zeros of polynomials. It was shown that if the kpolynomials have

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Publicerad

2024-12-08

Referera så här

Emenogu, G. ., Yemisi, , I. ., Edugbe, E. ., Chigozie, C. ., & Osu, B. (2024). Application of Jensen’s integral formulae on polynomials with entire functions of positive real parts and Gauss mean value theorem. International Journal of Mathematical Analysis and Modelling, 7(2). Hämtad från https://tnsmb.org/journal/index.php/ijmam/article/view/176

Nummer

Vol 7 Nr 2 (2024): Volume 7, Issue 2, 2024

Sektion

Articles