ider

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Hi -- I have used this valuable platform many times to ask technical questions, but I am facing a particularly annoying problem in Maple 24 that did not exist in Maple 23. When I work on a Maple sheet and press Shift + Enter to move the cursor to a new line, an unwanted space appears. The issue is that when I use this combination twice on existing Maple sheets to create whitespace, the variable name often gets split up. Additionally, when I try to move back to the previous line to add something, I simply cannot. This issue did not exist in Maple 23 or any version since Maple 15. I have checked Tools > Options under both Display and Interface, but I have not found a solution. Is there a way to eliminate this annoying space?

I'm currently addressing a problem related to modified Bessel functions using an older version of Maple (the specific version escapes my memory). In an attempt to resolve issues, I've experimented with the trial version of Maple 2023, but I've encountered an unusual phenomenon. Expressions that were previously simplifiable in Maple now resist simplification. The specific expression provided below, which should equate to 1, fails to be recognized as such by Maple. This poses a concern as it could lead to overly complex expressions in subsequent steps, considering this expression is only an intermediate stage. Is there a recommended approach to overcome this challenge?

f := (BesselI(0, alpha)*alpha-2*BesselI(1, alpha))/(BesselK(0, alpha)*BesselI(1, alpha)*BesselI(0, alpha)*alpha^2+BesselK(1, alpha)*BesselI(0, alpha)^2*alpha^2-2*BesselI(1, alpha))

(BesselI(0, alpha)*alpha-2*BesselI(1, alpha))/(BesselK(0, alpha)*BesselI(1, alpha)*BesselI(0, alpha)*alpha^2+BesselK(1, alpha)*BesselI(0, alpha)^2*alpha^2-2*BesselI(1, alpha))

simplify(f)

(BesselI(0, alpha)*alpha-2*BesselI(1, alpha))/(BesselK(0, alpha)*BesselI(1, alpha)*BesselI(0, alpha)*alpha^2+BesselK(1, alpha)*BesselI(0, alpha)^2*alpha^2-2*BesselI(1, alpha))

eval(f, alpha = .25)

1.000000000

NULL

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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

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