Abstract
The main object of this paper is to present several bounding inequalities for the classical Jacobi function of the first kind. A number of closely-related inequalities for such other special functions as the classical Laguerre function are also considered.
Information
Published: 2007
First available in Project Euclid: 21 April 2009
Digital Object Identifier: 10.15352/bjma/1240321563
Subjects:
Primary:
26A33
Secondary:
26D15
,
33C15
,
33C45
Keywords:
Bessel function of the first kind
,
confluent hypergeometric function
,
Gauss hypergeometric function
,
Jacobi functions
,
Jacobi polynomials
,
Krasikov's uniform bound for the Bessel function
,
Laguerre function
,
Landau's inequalities for the Bessel function
,
Love's inequalities
,
Luke's bound for the confluent hypergeometric function
,
Olenko's bound for the Bessel function
,
Riemann-Liouville fractional derivative
Rights: Copyright © 2007 Tusi Mathematical Research Group
