✦ LIBER ✦

4.12. Entire functions of the Laguerre-Pólya class

✍ Scribed by B. Ya. Levin

Publisher: Springer US
Year: 1984
Tongue: English
Weight: 93 KB
Volume: 26
Category: Article
ISSN: 1573-8795
DOI: 10.1007/bf01221579

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Generalization of the Laguerre–Pólya C

A Generalization of the Laguerre–Pólya Class of Entire Functions

✍ Daniel Suárez 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 132 KB

Laguerre polynomials as Jensen polynomia

Laguerre polynomials as Jensen polynomials of Laguerre–Pólya entire functions

✍ Dimitar K. Dimitrov; Youssèf Ben Cheikh 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 341 KB

We prove that the only Jensen polynomials associated with an entire function in the Laguerre-Pólya class that are orthogonal are the Laguerre polynomials.

The differentiability of Pólya's functio

The differentiability of Pólya's function

✍ Peter D Lax 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 304 KB

In his paper [l] P6lya defines the following function P, mapping the interval [0, I] onto a right triangle T. Let t be any number in the unit interval; expand it into a binary fraction: t = .d,d, ... The n-th digit d,(t) of t is either 0 or 1. For each t we assign a sequence of nested triangles T

The arithmetic of the characteristic Pól

The arithmetic of the characteristic Pólya functions

✍ A. I. Il'inskii 📂 Article 📅 1977 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 432 KB

A pólya interpretation of the schur func

A pólya interpretation of the schur function

✍ Dennis E White 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 466 KB

A nonlinear dynamical system on the set

A nonlinear dynamical system on the set of Laguerre entire functions

✍ Yuri Kozitsky; Lech Wołowski 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 210 KB