Some results on complex $(p,q)-$extension $\alpha-$Chebyshev differential equation for $|x| \leq 1$

Document Type : Research Paper

Authors

1 Department of Mathematics Science, Yazd University, Yazd, Iran

2 Curriculum studies, Department of Curriculum studies, Allameh Tabatabaei University, Tehran, Iran

Abstract

In this paper, we define complex $(p,q)-$extension $\alpha-$Chebyshev differential equations on $|x|\leq 1$. Our consideration is focused on determining properties of generalized Chebyshev polynomials of the first, second, third and Fourth kind, sparking interest in constructing a theory similar to the classical one. We solve the complex $(p,q)-$extension $\alpha-$Chebyshev differential equations on $|x| \leq 1$.

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References

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History

  • Receive Date: 22 May 2025
  • Revise Date: 28 August 2025
  • Accept Date: 27 September 2025

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