منابع مشابه
Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha
In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.
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متن کاملOn the Fast Growth of Analytic Functions by Means of Lagrange Polynomial Approximation and Interpolation
The present paper is concerned with the fast growth of analytic functions in the sets of the form {z C : φK(z) < R} (where φK(z) is the Siciak extremal function of a compact set K) by means of the Lagrange polynomial approximation and interpolation on K having rapidly increasing maximum modulus. To study the precise rates of growth of such functions the concept of index has been used.
متن کاملHarmonic Functions with Polynomial Growth
Twenty years ago Yau generalized the classical Liouville theo rem of complex analysis to open manifolds with nonnegative Ricci curva ture Speci cally he proved that a positive harmonic function on such a manifold must be constant This theorem of Yau was considerably generalized by Cheng Yau see by means of a gradient estimate which implies the Harnack inequality As a consequence of this gradien...
متن کاملsufficient conditions for a new class of polynomial analytic functions of reciprocal order alpha
in this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. we give some sufficient conditions for functions belonging to this class.
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1962
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-22-1-7-13