bessel function वाक्य
उदाहरण वाक्य
मोबाइल
- Inside the spheres, they can be any smooth continuation, such as a linear combination of polynomials or Bessel functions.
- The Bessel function of the second kind then can be thought to naturally appear as the imaginary part of the Hankel functions.
- The Bessel functions are valid even for complex arguments, and an important special case is that of a purely imaginary argument.
- For instance, the Sonine formula is a formula given by Sonin for the integral of the product of three Bessel functions.
- The coefficients can be obtained from projecting the function " f ( x ) " onto the respective Bessel functions:
- If is the modified, or hyperbolic, Bessel function of the first kind, we may define a function on the rationals by
- The most familiar transcendental functions are the logarithm, the Bessel functions are transcendental in general, but algebraic for some special parameter values.
- For example, the solution for the time-dependent " start-up " process can be expressed in terms of Bessel functions.
- So all functions that are essentially special cases of it, such as Bessel functions, can be expressed as limits of hypergeometric functions.
- Dougall's own contributions to mathematics include works on Bessel functions, Mathieu functions, hypergeometric series, and the Schl�fli double six.
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