What is the notation for hypergeometric functions and what does it represent?

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The discussion centers on the notation for hypergeometric functions, specifically questioning the use of commas and semicolons in the expression 2F1. It clarifies that the standard notation is 2F1=(a,b;c;d), where the first number indicates parameters in the first section and the second number indicates parameters in the second section. The parameters within each section are separated by commas, while semicolons separate the sections. The user expresses confusion about the notation and seeks clarification, ultimately referencing Wikipedia for further information. The conclusion is that there is no recognized form like 2F1=(a,b,c;d) in standard hypergeometric function notation.
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Homework Statement



I have seen some hypergeometric function in the form:

2F1=(a,b;c;d),

Is there such thing as:
2F1=(a,b,c;d)

Homework Equations





The Attempt at a Solution



I don't understand why sometimes we have a comma and sometimes we have a semi-colon.

thank you
 
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This isn't anything that I know about, so I'll defer to Wikipedia: http://en.wikipedia.org/wiki/Hypergeometric_function
See especially the Notation section.

Based on my reading of that section, I don't think there is anything such as 2F1(a, b, c;d). I think you might have something like this: 3F1(a, b, c;d;e). Apparently the first number (the one before F) represents the number of parameters in the first position. The second number represents the number of parameters in the second section. The three sections are separated by semicolons, and the parameters within a section are separated by commas.

That's how it seems to me, FWIW.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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