/pdf/on-pseudo-primality-of-the-n-th-power-of-prime-entire-z4106m9xxd.pdf

On prime periodic entire functions

On pseudo-primality of the n-th power of prime entire functions

On factorization of a certain class of entire functions

six-cusped sextic, whose cusps lie on a conic, and many properties of this projected curve similar to those of the plane quartic can be at once obtained from the above general theorems. It remains to be added that the nature of the harmouic envelope T6, and the configuration of its contact-quadrics U^ in relation to the 86 double-sixes of the cubic surface by which T6 is defined, require further investigation and elucidation.

background

On an Integral Function of an Integral Function

where 0 ^ wi < o!2 < • • • < wg < 2w (q ^ 1). We say that the roots of the equation (2) /(f) = a are distributed on the radii (1) if there exist at most a finite number of roots of the equation (2) which do not lie on the radii (1). With this definition, the main result of this paper takes the following form. Theorem 1. Letf(z) be meromorphic and such that the roots of the three equations (3) f(z) = 0, (4) f(z) = oo, (5) /«>« = 1 (1^0,/WmJ), be distributed on the radii (1). Denote by 5(a, f(l)) the deficiency of the value a, of the function fw, and assume (6) 8(0,/) +8(l,/»>) +«(«,/) >0. Then the order p, of f(z), is necessarily finite and

/pdf/meromorphic-functions-with-three-radially-distributed-values-54zc45dz6w.pdf

Meromorphic functions with three radially distributed values

/pdf/on-the-existence-of-prime-periodic-entire-functions-25bfu40gep.pdf

On the existence of prime periodic entire functions

/pdf/factorization-of-entire-functions-pn58alfgwo.pdf

Factorization of entire functions

In this paper we shall be concerned with the following problem: If h is an elliptic function and h(z) = ƒ(g(z)), what can be said about the functions ƒ and g? In order to simplify the discussion we introduce some basic definitions. Definition 1. A meromorphic function h(z) = ƒ(g(z)) is said to have ƒ(z) and g(z) as left and right factors, respectively, provided that either ƒ(z) is non-linear and meromorphic and g(z) is non-linear and entire or f(z) is rational and g(z) is meromorphic.

On prime periodic entire functions

Citations

On pseudo-primality of the n-th power of prime entire functions

On factorization of a certain class of entire functions

References

On an Integral Function of an Integral Function

Meromorphic functions with three radially distributed values

On the existence of prime periodic entire functions

Factorization of entire functions

On Factorization of Elliptic Functions

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