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2007 Some bounding inequalities for the Jacobi and related functions
H. M. Srivastava
Banach J. Math. Anal. 1(1): 131-138 (2007). DOI: 10.15352/bjma/1240321563


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.


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H. M. Srivastava. "Some bounding inequalities for the Jacobi and related functions." Banach J. Math. Anal. 1 (1) 131 - 138, 2007.


Published: 2007
First available in Project Euclid: 21 April 2009

zbMATH: 1131.26005
MathSciNet: MR2350202
Digital Object Identifier: 10.15352/bjma/1240321563

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

Vol.1 • No. 1 • 2007
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