Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function
Copyright policy )Some Results of Extended Beta Function and Hypergeometric Functions by Using Wiman’s Function
The main aim of this research paper is to introduce a new extension of the Gauss hypergeometric function and confluent hypergeometric function by using an extended beta function. Some functional relations, summation relations, integral representations, linear transformation formulas, and derivative formulas for these extended functions are derived. We also introduce the logarithmic convexity and some important inequalities for extended beta function.
- Anand International College of Engineering India
- Harish-Chandra Research Institute India
- Tuscia University Italy
- UniNettuno University Italy
- Ajman University of Science and Technology United Arab Emirates
Mittag-Leffler function, gamma function, classical Euler beta function, Gauss hypergeometric function, QA1-939, confluent hypergeometric function, Mathematics
Mittag-Leffler function, gamma function, classical Euler beta function, Gauss hypergeometric function, QA1-939, confluent hypergeometric function, Mathematics
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