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Journals / Gazi University Journal of Science / 2019 / Cilt: 32 - Sayı: 1

Extended Multivariable Fourth Type Horn Functions

Duriye KORKMAZ-DUZGUN
Esra Erkus-Duman
Pages
225–240
Publication Date
2019-03-01
DOI
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AI Summary & Key Takeaways

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

Finally, we derive various families of multilinear and multilateral generating functions for these functions and their special cases are also given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define extension of multivariable fourth kind Horn functions.
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Key Findings & Data:Then, we obtain some generating functions for these functions.
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Conclusion & Impact:Finally, we derive various families of multilinear and multilateral generating functions for these functions and their special cases are also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hypergeometric function · Horn functions · Generating function

Abstract

In this paper, we define extension of multivariable fourth kind Horn functions. Then, we obtain some generating functions for these functions. Furthermore, we get bilateral generating functions for the extended multivariable fourth kind Horn functions and extended first kind Lauricella functions. Finally, we derive various families of multilinear and multilateral generating functions for these functions and their special cases are also given.

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Cite This Article

KORKMAZ-DUZGUN, D., Erkus-Duman, E. (2019). Extended Multivariable Fourth Type Horn Functions. Gazi University Journal of Science, Cilt: 32 - Sayı: 1, 225–240. https://ajindex.com/articles/254492

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