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Results on Generalized Logarithmic Mean and Beta-Logarithmic Function of Matrix Arguments

Author

Listed:
  • Hala Abd Elmageed
  • Mohamed Abdalla

Abstract

The main focus of this manuscript is to provide generalizations of logarithmic mean and extended beta function in the framework of matrix setting. Some properties such as partial derivative formulas, functional relations, inequalities, integral representations, finite sums, and infinite sums are obtained for this new function of matrix arguments. Also, an application of these functions of probability theory is demonstrated.

Suggested Citation

  • Hala Abd Elmageed & Mohamed Abdalla, 2026. "Results on Generalized Logarithmic Mean and Beta-Logarithmic Function of Matrix Arguments," Journal of Mathematics, Hindawi, vol. 2026, pages 1-9, August.
    • Handle: RePEc:hin:jjmath:9706528
    DOI: 10.1155/jom/9706528
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