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Showing posts from July, 2022

Series involving reciprocal of the central binomial coefficient squared

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          Today we will prove this infinite series which involves the reciprocal of the central binomial coefficient squared, namely Click here for the proof.

Integral arcsin(x)arccos(x)

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Today we will prove the following integral Click here for the proof.

Central Binomial representation for zeta(2)

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In this post we will prove the following nice series representation for : Click here for the proof. We used the previous established result Click here for the proof.

Central Binomial coefficient series and Catalan Constant

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In this blog entry we will prove the following result: Click here for the proof.

Inverse hyperbolic tangent integral

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In this entry we prove the follwoing result, an integral I came across today in this video Click here for the proof.

Central Binomial coefficient series and zeta(2)

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In this entry we will prove the following result that appears in this Twitter post Click here for the proof. In the proof we used the previous result proved here .

Series involving central binomial coefficient squared

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In this blog entry we will evaluate the beautiful series below involving the square of the central binomial coefficient Click here to see the proof We used the previous result proved here

Central Binomial coefficient generating function

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Today we will prove the following generating function that appears in this Twitter post Click here for the proof.