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Exact(17)
We consider subordination properties of function f z) in the classes S p and C p.
Now, taking into account assumptions (HA), (HB) and properties of function θ, we can write (3.6).
Now, taking into account (HA), (HB), (HC3) and properties of function θ, we get: (5.4).
Again, by the properties of function ψ, it follows that d ( x n, x n + 2 m ) → as n → ∞.
According to the properties of function, it can be concluded that Eq. (13) exhibits depression, power-decreasing type.
Proof From the nonnegative and continuous properties of function f and G t, s), one can obtain easily that the operator T : P → P and T is continuous.
Similar(43)
We now specify further properties of functions w α.
Some properties of functions of Z-numbers are considered.
The existence results are on the basis of the monotone properties of functions and.
Substituting and in (2.1) and using properties of functions and, we obtain (2.5).
The following proposition summarizes some basic properties of functions φ ( λ, m ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com