a mathematically stunning formula

Published: 15 April 2023
on channel: Dr Peyam
14,287
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a mathematically stunning formula. I find the formula for the second derivative of the gamma function at 1 which gives you pi^2/6 plus the euler mascheroni constant squares. This gives a beautiful identity that relates two mysterious constants. The gamma function is a generalization of the factorial which is used to count permutations and combinations. This is related to nice integrals using logarithmic and exponential functions. A must see for calculus students and anyone who is interested in math and sciences. It involves the Hurwitz and the Riemann zera functions and might be related to the Riemann hypothesis

Integral e^-x ln(x)    • Integral of e^-x ln(x) from 0 to infi...  

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