Definitions for bessel function
bessel func·tion

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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

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   Mark

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   Daniel

   British

   Libby

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   Mia

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   Australian

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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