Definitions for Bessel function
bessel func·tion

WiktionaryRate this definition:0.0 / 0 votes

1. Bessel functionnoun

   Any of a class of functions that are solutions to a particular form of differential equation (a Bessel equation) and are typically used to describe waves in a cylindrically symmetric system.

2. Etymology: For Friedrich Bessel German mathematician

WikipediaRate this definition:0.0 / 0 votes

1. Bessel function

   Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's differential equation for an arbitrary complex number α {\displaystyle \alpha } , the order of the Bessel function. Although α {\displaystyle \alpha } and − α {\displaystyle -\alpha } produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of α {\displaystyle \alpha } . The most important cases are when α {\displaystyle \alpha } is an integer or half-integer. Bessel functions for integer α {\displaystyle \alpha } are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates. Spherical Bessel functions with half-integer α {\displaystyle \alpha } are obtained when the Helmholtz equation is solved in spherical coordinates.

WikidataRate this definition:0.0 / 0 votes

1. Bessel function

   Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are the canonical solutions y(x) of Bessel's differential equation for an arbitrary complex number α. The most important cases are for α an integer or half-integer. Although α and −α produce the same differential equation for real α, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of α. Bessel functions are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates.

How to pronounce Bessel function?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say Bessel function in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of Bessel function in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of Bessel function in Pythagorean Numerology is: 2

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Bessel_Function
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Bessel_Function
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=Bessel function