Generalized special functions defined by prabhakar function
2018
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Advisor: Doç. Dr. Ayşegül Çetinkaya
Abstract (EN)
This thesis consists of five chapters. The first chapter is devoted to the introduction. In the second chapter, the definitions and some properties of special functions that will be used in other chapters are given. In the third chapter, some studies related to various generalizations of gamma, beta and hypergeometric functions are mentioned. In the fourth chapter, new generalizations of gamma and beta functions are defined with the help of Prabhakar function. Then, new generalizations of Gauss hypergeometric and confluent hypergeometric functions are also given by using the new generalization of beta function. Besides, some properties of these generalized functions are examined. In the fifth chapter, obtained results are summarized and suggestions for forthcoming studies are presented.
Author
Muhammet Ay
How to Cite
Muhammet Ay (Master Thesis). Generalized special functions defined by prabhakar function, 2018, Kırşehir Ahi Evran University.
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