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arXiv · 2309.13088

Solving conformable Gegenbauer differential equation and exploring its generating function

Mohamed Ghaleb Al-Masaeed·Eqab. M. Rabei·Sami I. Muslih·Dumitru Baleanu
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Abstract

In this manuscript, we address the resolution of conformable Gegenbauer differential equations. We demonstrate that our solution aligns precisely with the results obtained through the power series approach. Furthermore, we delve into the investigation and validation of various properties and recursive relationships associated with Gegenbauer functions. Additionally, we introduce and substantiate the conformable Rodriguez's formula and generating function

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Mohamed Ghaleb Al-Masaeed, Eqab. M. Rabei, Sami I. Muslih, Dumitru Baleanu. 2023-09-22. Solving conformable Gegenbauer differential equation and exploring its generating function. https://doi.org/10.1007/s40819-024-01796-4

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