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Journals / Konuralp Journal of Mathematics / 2020 / Volume: 8 Issue: 2

On Some Special Functions for Conformable Fractional Integrals

Mehmet Zeki Sarıkaya(DÜZCE ÜNİVERSİTESİ)
Abdullah Akkurt(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0001-5644-1276
Hüseyin Budak(DUZCE UNIVERSITY)
Merve Esra Türkay(CUMHURIYET UNIVERSITY, FACULTY OF SCIENCE)0000-0003-4429-2685
Hüseyin Yildirim(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0001-8855-9260
Pages
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Publication Date
2020-10-27
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results presented here would provide generalizations of those given in earlier works.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce the $\left( \alpha ,k\right) $-gamma function$,\ \left( \alpha ,k\right) $-beta function, Pochhammer symbol $\left( x\right) _{n,k}^{\alpha }\ $and Laplace transforms for conformable fractional integrals.
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Key Findings & Data:We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol.
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Conclusion & Impact:The results presented here would provide generalizations of those given in earlier works.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Gamma function · beta function · Pochhammer symbol

Abstract

In this paper, we introduce the $\left( \alpha ,k\right) $-gamma function$,\ \left( \alpha ,k\right) $-beta function, Pochhammer symbol $\left( x\right) _{n,k}^{\alpha }\ $and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those given in earlier works.

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Cite This Article

Sarıkaya, M. Z., Akkurt, A., Budak, H., Türkay, M. E., Yildirim, H. (2020). On Some Special Functions for Conformable Fractional Integrals. Konuralp Journal of Mathematics, Volume: 8 Issue: 2. https://ajindex.com/articles/1521656

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