Orthogonality measure for subsequences of Hermite polynomials

• Autorzy: Maj M.
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove the uniqueness of the orthogonality measure for special subsequences of Hermite polynomials.

Słowa kluczowe

EN

Hermite polynomial; subseqences

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 3
• Strony: 701--710
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Maj M.

• Faculty of Mathematics and Information Science Warsaw University of Technology Pl. Politechniki 1 00-661 Warsaw, Poland

Bibliografia

• [1] S. Kwapień, A. Woyczyński, Random Series and Stochastic Integrals: Single and Multiple, Boston 1992.
• [2] A. Plucińska, A stochastic characterization of Hermite polynomials, J. Math. Sei., Vol. 89, No 5, (1998), 1541-1544.
• [3] A. Plucińska, Some properties of polynomial-normal distributions associated with Hermite polynomials, Demonstratio Math., Vol. 32, No 1, (1999), 195-206.
• [4] G. Szego, Orthogonal Polynomials, American Mathematical Society Providence, Rhode Island 1975.
• [5] A. N. Shiryaew, Probability, Springer Verlag, New York 1989.
• [6] A. P. Prudnikov, J. A. Bryczkov and O. I. Mariczev, Integrals and Special Functions, Nauka, Moscow 1983 (in Russian).