Orthogonality of Milne's polynomials and raising operators

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A characterization of orthogonality preserving operators

‎In this paper‎, ‎we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$‎. ‎We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator‎. ‎Also‎, ‎we prove that every compact normal operator is a strongly orthogo...

متن کامل

Lowering and raising operators for some special orthogonal polynomials

This paper discusses operators lowering or raising the degree but preserving the parameters of special orthogonal polynomials. Results for onevariable classical (q-)orthogonal polynomials are surveyed. For Jacobi polynomials associated with root system BC2 a new pair of lowering and raising operators is obtained.

متن کامل

Raising and Lowering Operators for Askey–Wilson Polynomials

In this paper we describe two pairs of raising/lowering operators for Askey– Wilson polynomials, which result from constructions involving very different techniques. The first technique is quite elementary, and depends only on the “classical” properties of these polynomials, viz. the q-difference equation and the three term recurrence. The second technique is less elementary, and involves the o...

متن کامل

A Conjecture about Raising Operators for Macdonald Polynomials

A multivariable hypergeometric-type formula for raising operators of the Macdonald polynomials is conjectured. It is proved that this agrees with Jing and Józefiak’s expression for the two-row Macdonald polynomials, and also with Lassalle and Schlosser’s formula for partitions with length three.

متن کامل

Orthogonality of Zernike Polynomials

Zernike polynomials are an orthogonal set over a unit circle and are often used to represent surface distortions from FEA analyses. There are several reasons why these coefficients may lose their orthogonality in an FEA analysis. The effects, their importance, and techniques for identifying and improving orthogonality are discussed. Alternative representations are presented.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1992

ISSN: 0012-365X

DOI: 10.1016/0012-365x(92)90375-p