Estimates Of Second And Third Hankel Determinants For Analytic Functions Associated With The Poisson Distribution

Authors

  • F. I. AKINWALE Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B.  Author
  • J.O. HAMZAT Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria. Author
  • A.T. OLADIPO Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 4000, Ogbomoso Nigeria. Author

DOI:

https://doi.org/10.60787/jnamp.v68no1.421

Keywords:

Analytic function, Univalent function, p-valent functions, Hadamard product, Poisson distribution

Abstract

In this work, certain new subclasses of analytic p-valent functions are defined using the generalized Poisson distribution. The sharp
bounds for the second and third order Hankel determinants (2) H2 and (1) 3 respectively, including the Fekete-Szego functional
belonging to the aforementioned subclasses of analytic function are also established...

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Author Biography

  • F. I. AKINWALE, Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 


    1
    , HAMZAT, J.O2 and OLADIPO,A.T3
    1,3Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 
    4000, Ogbomoso Nigeria.
    2Department of Mathematics, University of Lagos, Akoka, Lagos State, Nigeria. 

    *Corresponding author: AKINWALE F.I
    E-mail address: jimran2018@gmail.com

References

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Published

2024-10-23

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How to Cite

Estimates Of Second And Third Hankel Determinants For Analytic Functions Associated With The Poisson Distribution. (2024). The Journals of the Nigerian Association of Mathematical Physics, 68, 97-106. https://doi.org/10.60787/jnamp.v68no1.421

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