Gegenbauer Polynomials Revisited
Copyright policy )Gegenbauer Polynomials Revisited
Der Gegenstand dieser Arbeit sind spezielle Polynome, die sich in der Tafel der Gegenbauerschen Polynome entlang der abnehmenden Diagonalen bilden. Dabei werden einige Eigenschaften dieser Polynome diskutiert wie z.B. expliziter Ausdruck, erzeugende Funktion, rekurrenter Ausdruck, Differentialgleichung u.s.w. Ebenfalls werden einige spezielle bzw. verallgemeinerte Fälle eingeführt wie Polynome von Legendre, Chebyshev, Pincherle, Humbert, Byrd und Kinney.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generalized Humbert, Gegenbauer polynomials, Gegenbauer polynomial array, polynomial, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, descending diagonals in Pascal-type array, Chebyshev polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), generalized Humbert, Gegenbauer polynomials, Gegenbauer polynomial array, polynomial, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, descending diagonals in Pascal-type array, Chebyshev polynomials
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