#gamma function

[ll-madame-minty-chip-ll]

Random ass doodles

Feat:

Eins(My oc)

Rax(My oc)

Borareta(DBS)

Rabanra(DBS)

Pikmin(Red)

Mystic Flour(CRK)

Coqroc polytope

Unit Circle

Trigonometry

Gamma Function

Epsilon Naught

Protractor

Pukeko(DAMMMMMNNNNNNN meme)

Lollipop(Dum Dums)

[pinkhypo]

[ghastmaskzombie]

do you ever just mess around with a complex graphing site and look for fractals? i do, apparently. i call this guy the gamma crab. i’m ninety-nine percent sure he’s a fractal, but he’s definitely my friend. math nerdery below the cut.

this is the limit approached by iterating the gamma function infinitely. the cyan sections converge on positive real numbers (though i don’t know which) while the black sections diverge. the origin is somewhere between the main bulb and the largest peanut. not pictured: two arms of scaffold-esque geometry extending infinitely up and down to the right, roughly following two curves that i see a lot in my experiments similar to this (infinite tetration, iterated factorial, iteration of z^c+c) but can’t find any meaning to.

[data-and-vision]

Drawing of the absolute value of the complex Γ function from Jahnke and Emde, "Tables of Higher Functions," published in 1909.

[data-and-vision]

3-dimensional plot of the absolute value of the complex gamma function.

[sqrt-73]

Interesting math fact of the day #70:

½! = sqrt(π) / 2

[ijtsrd]

A Note on the Generalized Gamma Function

by Yeong-Jeu Sun "A Note on the Generalized Gamma Function"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd38259.pdf

Paper URL : https://www.ijtsrd.com/mathemetics/calculus/38259/a-note-on-the-generalized-gamma-function/yeongjeu-sun

callforpaperlifesciences, lifesciencesjournal, researchpapers

In this paper, the generalized gamma functions of the first and second types are firstly introduced and investigated. It can be proven that the traditional gamma function is a special case of the first type of generalized gamma function. Besides, the iterative formula of the generalized gamma function will be fully derived. Finally, a numerical example is provided to illustrate the validity and effectiveness of our main result. 

[selkie-wizard]

i’m SO fucked up over gamma functions

my professor proved Γ(1/2) = sqrt(π) and i’m REELING