Turan’s Inequality for Appell Polynomials
نویسنده
چکیده
منابع مشابه
On Multiple Appell Polynomials
In this paper, we first define the multiple Appell polynomials and find several equivalent conditions for this class of polynomials. Then we give a characterization theorem that if multiple Appell polynomials are also multiple orthogonal, then they are the multiple Hermite polynomials.
متن کاملAppell Polynomials and Their Relatives
This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials. In the multivariate case, they can be considered as natural analogs of the Appell polynomials when polynomials in noncommuting variables are considered. They also fit well into the framework of free probability. For the free Appell polyn...
متن کاملMatrix approach to Appell polynomials
In the last years the Appell polynomials, named after Paul Émile Appell which introduced them in 1880 [1], have gained renewed interest and has been studied by several authors. In particular, some new characterizations of Appell polynomials themselves through new approaches have been considered. To quote some of them we mention, for instance, the novel approach developed in [5], which makes use...
متن کاملOn Appell Sets and the Fueter-Sce Mapping
It is proved, that the recently discussed Appell polynomials in Clifford algebras are the Fueter-Sce extension of the complex monomials z. Furthermore, it is shown, for which complex functions the Fueter-Sce extension and the extension method using Appell polynomials coincide.
متن کاملAppell Polynomials and Their Relatives Iii. Conditionally Free Theory
ABSTRACT. This paper describes the analogs of the Appell polynomial families in the context of algebras with two states, also called the c-free probability theory, introduced by Bożejko, Speicher, and Leinert. This theory includes as two extreme cases the free and Boolean probability theories. We prove recursions, generating functions, and factorization and martingale properties for these polyn...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006