Theorem for the relation between the L1(c, n) and L2(c,ρ, n) numbers

It is proved numerically that if c ≥ 1 or c = l, l = 0, -1, -2, ... and ρ tends to zero, for the real positive numbers L₁(c, n) and L₂(c, ρ, n), determined for c - real, ρ - real, positive, 0<; ρ <;1 and n - a natural number (c, n - restricted) as the attained under definite conditions common limits of certain infinite sequences of real positive numbers, whose terms are constructed through the positive purely imaginary zeros of the complex Kummer confluent hypergeo-metric function, resp. of a transcendental function, composed as a combination of two complex Kummer and two complex Tricomi ones of specially selected parameters and variables, it holds: L₁(c, n) = lim/ρ → 0 L₂(c, ρ, n). This statement is called Theorem for the relation between the L₁(c, n) and L₂(c,ρ, n) numbers. The fact that each of the envelope curves for given n in the phase diagram of the circular waveguide, containing azimuthally magnetized ferrite that supports normal TE_0n modes, bounding the characteristics for negative magnetization of the load from the side of higher frequencies, turns out to be a limiting one for the similar curve in the diagram of the coaxial structure of the same size in case the thickness of central switching conductor gets negligible, is interpreted as a physical corollary of this mathematical result.