A class of integral identities with Hermitian matrix argument
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- by Daya K. Nagar, Arjun K. Gupta and Luz Estela Sánchez PDF
- Proc. Amer. Math. Soc. 134 (2006), 3329-3341 Request permission
Abstract:
The gamma, beta and Dirichlet functions have been generalized in several ways by Ingham, Siegel, Bellman and Olkin. These authors defined them as integrals having the integrand as a scalar function of real symmetric matrix. In this article, we have defined and studied these functions when the integrand is a scalar function of Hermitian matrix.References
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Additional Information
- Daya K. Nagar
- Affiliation: Departamento de Matemáticas, Universidad de Antioquia, Medellín, AA 1226, Colombia
- Email: nagar@matematicas.udea.edu.co
- Arjun K. Gupta
- Affiliation: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403-0221
- Email: gupta@bgnet.bgsu.edu
- Luz Estela Sánchez
- Affiliation: Departamento de Matemáticas, Universidad de Antioquia, Medellín, AA 1226, Colombia
- Email: lesanchez@matematicas.udea.edu.co
- Received by editor(s): June 10, 2003
- Received by editor(s) in revised form: November 5, 2004, and June 1, 2005
- Published electronically: May 12, 2006
- Additional Notes: The first and third authors were supported by the Comité para el Desarrollo de la Investigación, Universidad de Antioquia research grant no. IN387CE
- Communicated by: Richard A. Davis
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3329-3341
- MSC (2000): Primary 33E99; Secondary 62H99
- DOI: https://doi.org/10.1090/S0002-9939-06-08602-3
- MathSciNet review: 2231918