id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1849	Burdík, Čestmír; Navrátil, Ondřej	EXTREMAL VECTORS FOR VERMA TYPE REPRESENTATION OF B2	2013	6	.pdf	application/pdf	4035	256	87	The equations of the second order give the system of three equations (2λ1ρ1 + 2λ1ρ2 + λ2ρ1 + 2λ2ρ2 − ρ2 1 − 2ρ1ρ2 − 2ρ2 2 + 3ρ1 + 4ρ2)g = 0, (2λ1 + λ2 − ρ1 − 2ρ2 + 3)(1− t)g′ + ρ2(λ1 − ρ1 − ρ2 + 1)g = 0, 4t(1− t)g′′ + 2 ( 1 + (2λ1 + 2λ2 + 1)t ) g′ + (2λ1ρ1 − ρ2 1 + 3ρ1 + 2ρ2)g = 0. (6) As we want to obtain polynomial solutions f(z1, z2, z3, z4), which are in variable z2 of less or equal degree λ2 ∈ N0, there must be solution g(t) of the system (6), which is the polynomial in √ t of less or equal degree λ2. For this function f to be polynomial, must be 2λ1 + λ2 + 3 ∈ N0 and −λ1 − λ2 − 2 ∈ N0.	cache/ap-1849.pdf	txt/ap-1849.txt