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A unified approach to H-function and their applications in Distribution theory

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Author Affiliations

  • 1Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur 342005, India
  • 2Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur 342005, India

Res. J. Mathematical & Statistical Sci., Volume 13, Issue (2), Pages 12-22, May,12 (2025)

Abstract

H-functions are an advanced type of hypergeometric functions with many useful properties. This paper is designed for the purpose of compiling the relationship of distribution functions with H functions. This paper explores H-functions and their importance in distribution theory. By using H-functions, we develop new formulas for PDFs (Probability Density Functions) and CDFs (Cumulative Distribution Functions) for various statistical distributions. Our method makes it easier to evaluate these functions and offers a solid framework for their use in solving complex statistical problems. We provide examples to show how H-functions can be applied to real-world statistical issues. This study highlights the value of H-functions as a powerful tool in distribution theory and encourages further research in this field.

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