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Difference between revisions of "Talk:Bessel equation"

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Remark: One of our readers observed that the equation after eq. (4) was not correct
 
Remark: One of our readers observed that the equation after eq. (4) was not correct
 
on [http://www.encyclopediaofmath.org/index.php?title=Bessel_equation&oldid=14419 this preceding version], therefore this has been corrected. It should as well be checked if this change is compatible with the subsequent formulae (Lommel, Struve, Anger, Weber function). --[[User:Ulf Rehmann|Ulf Rehmann]] 23:14, 20 February 2014 (CET)
 
on [http://www.encyclopediaofmath.org/index.php?title=Bessel_equation&oldid=14419 this preceding version], therefore this has been corrected. It should as well be checked if this change is compatible with the subsequent formulae (Lommel, Struve, Anger, Weber function). --[[User:Ulf Rehmann|Ulf Rehmann]] 23:14, 20 February 2014 (CET)
 +
: Hello Ulf, all checked and texxed. Actually none of the pages was affected by the same mistake, which must therefore have been a local typo. The page on Struve functions did contain some other small mistakes though. Now, reading more carefully all these pages, I discovered that one major source of confusion might be the following: the cylinder functions $Y_\nu$, which are commonly called Bessel functions of second type, in most of our entries are instead denoted by $N_\nu$ and called
 +
* cylinder functions of second type
 +
* or Neumann functions
 +
* or Weber functions.
 +
It is historically a correct choice since they were indeed introduced by Neumann and Weber... but on the other hand the entry [[Weber function]] is about a different class of functions, which are the one usually called Weber functions. Thus sometimes [[Weber function]] is not linked appropriately. For the moment I reverted to the current terminology and notation the pages [[Anger function]], [[Bessel functions]], [[Bessel equation]], [[Lommel function]], [[Struve function]] and [[Weber function]]. With time I will take care of [[Cylinder functions]], [[Hankel functions]] and [[Neumann function]]. If anybody sees some inconsistencies, please send me a message.
 +
[[User:Camillo.delellis|Camillo]] ([[User talk:Camillo.delellis|talk]]) 10:24, 22 February 2014 (CET)

Revision as of 09:24, 22 February 2014

Remark: One of our readers observed that the equation after eq. (4) was not correct on this preceding version, therefore this has been corrected. It should as well be checked if this change is compatible with the subsequent formulae (Lommel, Struve, Anger, Weber function). --Ulf Rehmann 23:14, 20 February 2014 (CET)

Hello Ulf, all checked and texxed. Actually none of the pages was affected by the same mistake, which must therefore have been a local typo. The page on Struve functions did contain some other small mistakes though. Now, reading more carefully all these pages, I discovered that one major source of confusion might be the following: the cylinder functions $Y_\nu$, which are commonly called Bessel functions of second type, in most of our entries are instead denoted by $N_\nu$ and called
  • cylinder functions of second type
  • or Neumann functions
  • or Weber functions.

It is historically a correct choice since they were indeed introduced by Neumann and Weber... but on the other hand the entry Weber function is about a different class of functions, which are the one usually called Weber functions. Thus sometimes Weber function is not linked appropriately. For the moment I reverted to the current terminology and notation the pages Anger function, Bessel functions, Bessel equation, Lommel function, Struve function and Weber function. With time I will take care of Cylinder functions, Hankel functions and Neumann function. If anybody sees some inconsistencies, please send me a message. Camillo (talk) 10:24, 22 February 2014 (CET)

How to Cite This Entry:
Bessel equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bessel_equation&oldid=31336