I am using Maple to compute the principal part around the point 0, which involves obtaining the series expansion terms with strictly negative powers. This is necessary for my work on evaluating infinite integrals that involve complex functions. While I can calculate these expressions manually, I am exploring whether Maple already offers a convenient tool for this purpose. For instance, Maple's built-in Laurent series expansion can be used to obtain the principal part of functions like BesselK(4, x) as 48/x^4 - 4/x^2. Any assistance on this matter is greatly appreciated. Thank you for your help.

For instance, Hypergeometric0F1Regularized^(1,0)[1,1.] = -0.113894... as given in Mathematica. I was wondering how this type of regularized hypergeometric function is defined in Maple. 

While I was elaborating on a math problem, I came across the following expression which actually should be equal to one. Maple unfortunately was unable to fully provide a simplified expression. Is there a way to do that? 

Thank you

Consider the following integral, shown below in this image.

>> Link to the Maple sheet: example.mw <<

Why does Maple provide erroneous results? Is there a bug in the software? I use Maple 2021.

Hello everybody,

i am trying to use PDEchangecoords to transform a system of differential equations from Cartesian coordinates to toroidal coordinates. However, when i use a user defined coordinate transform from toroidal to Cartesian, i don't get the initial equations. Please find attached a minimal working environment.

i would highly appreciate your hints and suggestions!

Thank you

Best regards,

F

question.mw
 

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