Banach Journal of Mathematical Analysis

Some bounding inequalities for the Jacobi and related functions

H. M. Srivastava

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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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Banach J. Math. Anal., Volume 1, Number 1 (2007), 131-138.

First available in Project Euclid: 21 April 2009

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Zentralblatt MATH identifier

Primary: 26A33: Fractional derivatives and integrals
Secondary: 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) [See also 42C05 for general orthogonal polynomials and functions] 26D15: Inequalities for sums, series and integrals 33C15: Confluent hypergeometric functions, Whittaker functions, $_1F_1$

Jacobi functions Jacobi polynomials Gauss hypergeometric function Riemann-Liouville fractional derivative Laguerre function Bessel function of the first kind Krasikov's uniform bound for the Bessel function confluent hypergeometric 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


Srivastava, H. M. Some bounding inequalities for the Jacobi and related functions. Banach J. Math. Anal. 1 (2007), no. 1, 131--138. doi:10.15352/bjma/1240321563.

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