Closed-form expressions for derivatives of Bessel functions with respect to the order
Subject:
Bessel functions; Modified Bessel functions; Generalized hypergeometric functions; Meijer-G function
Publication date:
Editorial:
K. Driver
Publisher version:
Citación:
Descripción física:
Abstract:
We have used recent integral representations of the derivatives of the Bessel functions with respect to the order to obtain closed-form expressions in terms of generalized hypergeometric functions and Meijer-G functions. Also, we have carried out similar calculations for the derivatives of the modified Bessel functions with respect to the order, obtaining closed-form expressions as well. For this purpose, we have obtained integral representations of the derivatives of the modified Bessel functions with respect to the order. As by-products, we have calculated two non-tabulated integrals.
We have used recent integral representations of the derivatives of the Bessel functions with respect to the order to obtain closed-form expressions in terms of generalized hypergeometric functions and Meijer-G functions. Also, we have carried out similar calculations for the derivatives of the modified Bessel functions with respect to the order, obtaining closed-form expressions as well. For this purpose, we have obtained integral representations of the derivatives of the modified Bessel functions with respect to the order. As by-products, we have calculated two non-tabulated integrals.
ISSN:
Collections
Files in this item
Métricas
Compartir
Estadísticas de uso
Metadata
Related items
Showing items related by title, author, creator and subject.