Results 201 to 210 of about 10,740,253 (242)
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ON ESTIMATES OF THE NORM OF THE HOLOMORPHIC COMPONENT OF A MEROMORPHIC FUNCTION
, 1976For an arbitrary simply connected domain D, an estimate is obtained for the norm of the holomorphic component of a meromorphic function having a given number of poles in D. The estimate is uniform with respect to D. Bibliography: 4 titles.
A. Gončar, L. D. Grigorjan
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The Order of the Derivative of a Meromorphic Function
, 1936The following result is due to Whittaker): Theorem. Any meromorphic function is of the same order as its derivative. Whittaker’s own proof of the theorem was based upon a result concerning the expansion of a meromorphie function into a series of Mittag ...
J. M. Whittaker
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On the growth of a meromorphic function and its derivatives
, 1989The relative rates of growth of a function F meromorphic in the complex plane and its q derivative F (q) are studied via the Nevanlinna Characteristics T(r.F)and T(r.F (q)) and It is shown that lim inf T(r.F)/T(r.F (q)) ≤ 3ethat for all meromorphic ...
W. Hayman, J. Miles
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Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
, 1988On etablit des estimations de la derivee logarithmique d'une fonction meromorphe et d'autres estimations ...
G. Gundersen
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, 1993
It is proved that the Taylor series of a meromorphic function of two variables converges absolutely in the closed unit bidisk if this function satisfies a Holder condition in with exponent , while for any there exists a rational function with Holder ...
A. Tsikh
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It is proved that the Taylor series of a meromorphic function of two variables converges absolutely in the closed unit bidisk if this function satisfies a Holder condition in with exponent , while for any there exists a rational function with Holder ...
A. Tsikh
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Entire and Meromorphic Functions [PDF]
, 1997 The works by Weierstrass, Mittag-Leffler and Picard dated back to the seventies of the last century marked the beginning of systematic studies of the theory of entire and meromorphicl functions. The theorems by Weierstrass and Mittag-Leffler gave a general description of the structure of entire and meromorphic functions.
I. V. Ostrovskii +2 more
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Forms for meromorphic functions
Acta Applicandae Mathematicae, 1989An infinite circular arithmetic is defined and used to define power sum and centered forms for meromorphic functions. The properties of these forms are investigated and it is shown that both the power sum and the centered forms form including chains with respect to their orders and that they possess a kind of quadratic convergence with respect to the ...
P. Bao, J. G. Rokne
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Meromorphic Functions and Subvarieties
2014This final chapter introduces two difficult subjects, which are unavoidable. We must study meromorphic functions if we are to deal with such simple “functions” as z∕w. Moreover, we must study varieties, since the set of zeros of a holomorphic function is a variety.
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