Finally, we give certain the integral representations, derivative formulas, integral transforms, factional calculus applications, and generating functions of the degenerate hypergeometric function.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In the paper, we first define a degenerate Pochhammer symbol by using the degenerate gamma function and investigate its properties.
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Temel Bulgular & Veri:By using the degenerate Pochhammer symbol, we introduce and investigate a degenerate hypergeometric function.
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Sonuç & Katkı:Finally, we give certain the integral representations, derivative formulas, integral transforms, factional calculus applications, and generating functions of the degenerate hypergeometric function.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:degenerate Pochhammer symbol · degenerate Sumudu transform · degenerate hypergeometric function
Abstract
In the paper, we first define a degenerate Pochhammer symbol by using the degenerate gamma function and investigate its properties. By using the degenerate Pochhammer symbol, we introduce and investigate a degenerate hypergeometric function. We also define a degenerate Sumudu transform and investigate its properties by using degenerate exponential function. Finally, we give certain the integral representations, derivative formulas, integral transforms, factional calculus applications, and generating functions of the degenerate hypergeometric function.
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