An Introduction to the POLYGAMMA FUNCTIONS - The Taylor Series of the Digamma Function! Published 2019-06-13 Download video MP4 360p Recommendations 19:06 Factorials, Harmonic Numbers, and Trig 24:14 The most FUN Series I EVER Evaluated! An Analytic Number Theory EXTRAVAGANZA! 27:07 How (and why) to raise e to the power of a matrix | DE6 18:05 But HOW did Euler do it?! A BEAUTIFUL Solution to the FAMOUS Basel Problem! 26:31 How to Take the Factorial of Any Number 22:11 But what is the Riemann zeta function? Visualizing analytic continuation 18:05 WAIT, WHAT?! DIFFERENTIATING x FACTORIAL x! - Introducing the Digamma Function 46:34 700 years of secrets of the Sum of Sums (paradoxical harmonic series) 13:55 Euler's Reflection Formula - Two very ELEGANT Proofs! 23:28 ONE NEAT PROOF! Deriving the EULER DEFINITION of the Gamma Function! 16:02 The Brachistochrone, with Steven Strogatz 24:05 Calculating one BRUTAL Integral! Deriving Euler's Reflection Formula the RIDICULOUS way! 17:28 Eulerian Integral of the First Kind - Deriving the BETA FUNCTION! [ The non-trigonometric Version ] 22:08 When CAN'T Math Be Generalized? | The Limits of Analytic Continuation 18:48 The Euler-Mascheroni Constant - An Epic Proof of Convergence! 19:22 Using topology for discrete problems | The Borsuk-Ulam theorem and stolen necklaces 04:06 I Found Out How to Differentiate Factorials! 45:04 Why There's 'No' Quintic Formula (proof without Galois theory) 10:53 what is half factorial? (1/2)!=? via. Gamma function 15:25 The Subtle Reason Taylor Series Work | Smooth vs. Analytic Functions Similar videos 17:03 The Polygamma Function 18:58 Introduction to the digamma function 09:29 Digamma function- 3 - Integral representation of Digamma function 15:56 A breathtaking integration result! 05:33 Digamma function and its series representation part - 1- 08:54 Asymptotics i the complex plane. Digamma function properties and asymptotics, Part 1 07:34 An Easy derivation of the Polygamma Reflection Formula 26:02 The Digamma of 1 11:25 Asymptotics in the complex plane. Application of Eulers digamma function, Part 1. 13:13 The Most Beautiful Result. 08:20 A RIDICULOUSLY AWESOME LOG INTEGRAL!!! 15:04 Good, Bad and Ugly Constants feat. Balanced Polygamma 15:17 Exponential Integral Function More results