Applications of Generalized Hypergeometric Distribution on Comprehensive Families of Analytic Functions

Tariq Al-Hawary, Basem Frasin and Ibtisam Aldawish ()
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Tariq Al-Hawary: Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
Basem Frasin: Faculty of Science, Department of Mathematics, Al Al-Bayt University, Mafraq 25113, Jordan
Ibtisam Aldawish: Mathematics and Statistics Department, College of Science, IMSIU (Imam Mohammad Ibn Saud Islamic University), Riyadh 11623, Saudi Arabia

Mathematics, 2024, vol. 12, issue 18, 1-11

Abstract: A sequence of n trials from a finite population with no replacement is described by the hypergeometric distribution as the number of successes. Calculating the likelihood that factory-produced items would be defective is one of the most popular uses of the hypergeometric distribution in industrial quality control. Very recently, several researchers have applied this distribution on certain families of analytic functions. In this study, we provide certain adequate criteria for the generalized hypergeometric distribution series to be in two families of analytic functions defined in the open unit disk. Furthermore, we consider an integral operator for the hypergeometric distribution. Some corollaries will be implied from our main results.

Keywords: analytic function; geometric functions; hypergeometric distribution; poisson distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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