New extension of beta function and its applications (Q1728998)
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scientific article; zbMATH DE number 7029959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New extension of beta function and its applications |
scientific article; zbMATH DE number 7029959 |
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New extension of beta function and its applications (English)
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27 February 2019
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Summary: In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their properties, integral representation, certain fractional derivatives, and fractional integral formulas and application of these functions.
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classical beta function
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hypergeometric functions
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