Title

Heine Representations and Monotonicity Properties of Determinants and Pfaffians

Authors

Authors

M. E. H. Ismail;P. Simeonov

Comments

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Abbreviated Journal Title

Constr. Approx.

Keywords

Determinant; Pfaffian; Complete monotonicity; Absolute monotonicity; Orthogonal functions; TURAN TYPE INEQUALITIES; HYPERGEOMETRIC-FUNCTIONS; ORDER; Mathematics

Abstract

We establish integral representations of Heine type for certain integrals of determinants. We use these representations to derive monotonicity properties of such determinants. New integral representations of Heine type for biorthogonal functions obtained from the general Gram-Schmidt orthonormalization process are given. We also establish the monotonicity of certain Pfaffians using the de Bruijn formula of Ishikawa and Zeng. The complete or absolute monotonicity of a number of Pfaffian functions is established.

Journal Title

Constructive Approximation

Volume

41

Issue/Number

2

Publication Date

1-1-2015

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s00365-014-9262-2

Language

English

First Page

231

Last Page

249

WOS Identifier

WOS:000350305000003

ISSN

0176-4276

Recommended Citation

"Heine Representations and Monotonicity Properties of Determinants and Pfaffians" (2015). Faculty Bibliography 2010s. 6593.
https://stars.library.ucf.edu/facultybib2010/6593