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On the paper 'On an identity for the zeros of Bessel functions' by Baricz et al
- Source :
- Journal of Mathematical Analysis and Applications. 468:359-363
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- In this note we offer some criticism on the paper “On an identity for zeros of Bessel functions” by Baricz et al. [3] . The paper gives identities of type Stieltjes–Calogero for the sums of reciprocals of differences of fourth powers of zeros of Bessel functions. Although interesting in principle, by containing one too many sums of similar complexity the identities fail to convey the true spirit of the work of Stieltjes and Calogero. We rectify this by providing what we think is the correct type of identity for the above-said sums, in the general setup of entire functions of order
- Subjects :
- Pure mathematics
Applied Mathematics
Entire function
010102 general mathematics
Order (ring theory)
Riemann–Stieltjes integral
Type (model theory)
01 natural sciences
symbols.namesake
Identity (mathematics)
0103 physical sciences
symbols
0101 mathematics
010306 general physics
Analysis
Bessel function
Mathematics
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 468
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi...........a55e5c12acea92d08c7009e70f9283b7