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For the derivatives of Chebyshev second-kind polynomials of a complex vafiable, a system of functions biorthogonal with them on closed curves of the complex plane is constructed. Properties of these… Click to show full abstract
For the derivatives of Chebyshev second-kind polynomials of a complex vafiable, a system of functions biorthogonal with them on closed curves of the complex plane is constructed. Properties of these functions and the conditions of expansion of analytic functions in series in polynomials under consideration are established. The examples of such expansions are given. In addition, we obtain some combinatorial identities of independent interest.
Keywords:
chebyshev second;
second kind;
kind polynomials;
derivatives chebyshev;
polynomials complex;
system functions
Journal Title: Journal of Mathematical Sciences
Year Published: 2020
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Journal Title: Journal of Mathematical Sciences
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!