Question

42. A function which has poles as its only singularities in
the finite part of the plane is known as
monogenic function
meromorphic function
analytic fiction
none of these​

Answer 1

Answer:

analytic fiction is correct

Answer 2

Answer:

The correct option is : analytic function.

Therefore, a function which has pole as its own singularities in finite part of the plane is known as analytic function.

Explanation :

• Analytic functions are in mathematics defined as functions that are locally provided by convergent power series.
• Real and complex analytical functions are two main categories under which the analytical function can be divided.
• Real and complex analytical functions can be differentiated endlessly.
• In the field of mathematics known as complex analysis, a pole is a specific kind of singularity of a function, as opposed to essential singularities and branch points, such as 0 for the complex square root function, where the function acts somewhat regularly.
• If a function f(z) is single valued and has a derivative at every point in a region R of the complex plane, the region is said to be analytic.
• If a point z is an interior point of a region where a function f(z) is analytical, then that point z is said to be analytical for that function.
• A function is not analytical if it is not continuous or differentiable.
• Additionally, a function, f(z), is not analytical if it is divided into f(x+iy)=u(x,y)+iv(x,y), uxvy, and/or uyvx.
• These are referred to as the Cauchy-Riemann equations, and the function is not considered analytical if they are not satisfied.

#SPJ3