The product of two functions of bounded value distribution
type: Item
instance of: scholarly article
title: The product of two functions of bounded value distribution
zbMATH Open document ID: 0599.30060
author: Ranjan Roy
author: S. M. Shah
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: An entire function is said to be of bounded value distribution (B.V.D.) if any complex value is taken a certain number P(R) times at most in any disc of radius R. Every entire solution of a linear differential equation with rational coefficients bounded at infinity is of B.V.D. (Turán, Hayman, Shah). For instance, the Bessel function \(J_ n(z)\) is of B.V.D. Here it is shown that the product \(J_ mJ_ n\) satisfies such a differential equation of order 4. Thus, it is of B.V.D.
reviewed by: Bo Kjellberg
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 3966633
zbMATH Keywords: bounded value distribution
zbMATH Keywords: Bessel function
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3966633