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Closed-form expressions for derivatives of Bessel functions with respect to the order.
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2018, Vol. 466 Issue 1, p1060-1081. 22p. - Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 466
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 130359021
- Full Text :
- https://doi.org/10.1016/j.jmaa.2018.06.043