Results 1 to 10 of about 3,204,490 (302)

On the growth of analytic functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1938
1. P6lya,4 in a restricted case, and Bernstein,? under rather general conditions, have, to state their results roughly, proved that the rate of growth of an analytic function along a line can be determined by its growth along a suitable sequence of discrete points on the line.
openaire   +2 more sources

Neighborhoods of certain analytic functions with negative coefficients

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
The object of the present paper is to derive some properties of neighborhoods of analytic functions with negative coefficients in the open unit disk.
Osman Altintas, Shigeyoshi Owa
doaj   +1 more source

Certain Integral Operators of Analytic Functions

open access: yesMathematics, 2021
In this paper, two new integral operators are defined using the operator DRλm,n, introduced and studied in previously published papers, defined by the convolution product of the generalized Sălăgean operator and Ruscheweyh operator.
Alina Alb Lupaş, Loriana Andrei
doaj   +1 more source

Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions

open access: yesJournal of Function Spaces, 2016
We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors.
Badr S. Alkahtani   +2 more
doaj   +1 more source

On a Length Problem for Univalent Functions

open access: yesMathematics, 2018
Let g be an analytic function with the normalization in the open unit disk. Let L ( r ) be the length of g ( { z : | z | = r } ) . In this paper we present a correspondence between g and L ( r ) for the case when g is not necessary
Mamoru Nunokawa   +2 more
doaj   +1 more source

Restrictions of analytic functions. I [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
An isometric expansion is derived which recaptures any H 2 {H^2}
Rosenblum, Marvin, Rovnyak, James
openaire   +3 more sources

Coefficient Inequalities of Analytic Functions Related to Robertson Functions

open access: yesJournal of Mathematics, 2013
We introduce and study a subclass of analytic functions related to Robertson functions. Here we discuss the coefficient estimate for function in this class.
Muhammad Arif, Mumtaz Ali
doaj   +1 more source

Stable Extrapolation of Analytic Functions [PDF]

open access: yesFoundations of Computational Mathematics, 2018
31 ...
Laurent Demanet, Alex Townsend
openaire   +5 more sources

On a Class of A-Analytic Functions

open access: yesJournal of Siberian Federal University. Mathematics & Physics, 2016
Summary: We consider \(A\)-analytic functions in case when \(A\) is anti-holomorphic function. In paper for \(A\)-analytic functions the integral theorem of Cauchy, integral formula of Cauchy, expansion to Taylor series, expansion to Loran series, Picard's big theorem and Montel's theorem are proved.
Sadullaev, Azimbai   +1 more
openaire   +4 more sources

Some properties and results for certain subclasses of starlike and convex functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2017
In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $.
Mohammad Taati   +2 more
doaj  

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