Deficiencies of an entire algebroid function

A property of the derivative of an entire function

We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set. MSC 2010: 30D30.

The Filling Discs Dealing with Multiple Values of an Algebroid Function in the Unit Disc

and Applied Analysis 3 is called type function of w z or T r,w such that ρ 1/ 1 − r is nondecreasing, piecewise continuous, and differentiable, and lim r→ 1− ρ ( 1 1 − r ) ρ, lim r→ 1− U k/ 1 − r U 1/ 1 − r k ρ (k is any given positive constant ) , lim r→ 1− T r,w U 1/ 1 − r 1, lim r→ 1− 1/ 1 − r ρ−ε U 1/ 1 − r 0, 0 < ε < ρ. 1.8 For an algebroid functionw z of finite positive order, we can appl...

On Relations among Some Constants of an Entire Function

If Piz) is an entire function of order p, it is known that (1) M, m are its type and co-type, in case/ happens to be the rank (or position) function of the maximum term of the Maclaurin series of P (see Chapter II of [l] and Chapter II of [2]) and that (2) M and m are the logarithmic type and co-type of P, if fix) is the number of zeroes z of Piz) such that \z\ ^x (see Jensen's Theorem, Chapter...

Sums of an Entire Function in Certain Weighted L-spaces

‏‎interpersonal function of language in subtitling

‏‎translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...