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Outtakes: • Video
Polygamma: • An Introduction to the...
Int Digamma: • An Integral Representa...
Catalan: • Catalan's Constant and...
Geo Series: • The Geometric Progress...
pi^2/8: • This is SERIESLY NUTS!...
Leibniz Rule: • The Leibniz rule for i...
Today we are going to go extremely overboard! Let us use the Hurwitz Zeta funtction and the Trigamma function to solve this crazy series of 1/(4k+1)^2. This is just such a crazy beautiful and playful calculation extravaganza! At teh end we are going to end up with the trigamma function of 1/4 and Zeta(2,1/4) and catalan's constant! SO GOOD!
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22 авг 2024