Some results on complex (p,q)-extension \alpha-Chebyshev differential equation for |x| \leq ۱

In this paper, we define complex (p,q)-extension \alpha-Chebyshev differential equations on |x|\leq ۱. 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 ۱.

کلیدواژه ها:

q)-extension \alpha-Chebyshev polynomials ، Complex (p ، q)-extension \alpha-Chebyshev differential equations