On Certain Integrals Related to Saran’s Hypergeometric Function <i>F<sub>K</sub></i>
In the present paper, we establish two Erdélyi-type integrals for Saran’s hypergeometric function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>F</mi><mi>K</mi></msub>&l...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/3/155 |
| Summary: | In the present paper, we establish two Erdélyi-type integrals for Saran’s hypergeometric function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>F</mi><mi>K</mi></msub></semantics></math></inline-formula>, which has applications in specific branches of applied physics and statistics (see below). We employ methods based on the <i>k</i>-dimensional fractional integration by parts to obtain our main integral identities. The first integral generalizes Koschmieder’s result and the second integral extends one of Erdélyi’s classical hypergeometric integral. Some useful special cases and important remarks are also discussed. |
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| ISSN: | 2504-3110 |