Results 11 to 20 of about 1,315,000 (325)

Generalized Analytic Functions [PDF]

Transactions of the American Mathematical Society, 1956
algebra; the group r becomes the boundary of the disc, and all functions take their maximum modulus on r. For interior points r of the disc, there is a measure on r such that the value at r is given by an integral of the boundary values. This "Poisson integral" is studied in detail, and it is shown that one of these "generalized holomorphic" functionsf
Arens, Richard, Singer, I. M.
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q-analytic functions, fractals and generalized analytic functions [PDF]

Journal of Physics A: Mathematical and Theoretical, 2014
We introduce a new class of complex functions of complex argument which we call q-analytic functions. These functions satisfy q-Cauchy–Riemann equations and have real and imaginary parts as q-harmonic functions. We show that q-analytic functions are not the analytic functions.
Pashaev, Oktay K., Nalci, Sengul
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Restrictions of analytic functions. I [PDF]

Proceedings of the American Mathematical Society, 1975
An isometric expansion is derived which recaptures any H 2 {H^2} function from a restriction of its boundary function to a Borel set.
Rosenblum, Marvin, Rovnyak, James
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R-analytic functions [PDF]

Archive for Mathematical Logic, 2016
We introduce the notion of $R$-analytic functions. These are definable in an o-minimal expansion of a real closed field $R$ and are locally the restriction of a $K$-differentiable function (defined by Peterzil and Starchenko) where $K=R[\sqrt{-1}]$ is the algebraic closure of $R$.
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A certain subclass of starlike functions defined by subordination [PDF]

Journal of Mahani Mathematical Research
In the present paper, we introduce and investigate a new result connected to subclasses of normalized and univalent functions in the open unit disk.
Khatere Sheikhi, Shahram Najafzadeh
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SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS

Journal of Amasya University the Institute of Sciences and Technology, 2022
In this paper, an upper bound will be found for the second coefficient in the Taylor expansion of the analytical function $p(z)$ using the Jack lemma. Also, the modulus of the angular derivative of the $I_{f}(z)=\frac{zp^{\prime }(z)}{p(z)}$ function on ...
Bülent Nafi Örnek
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Commuting analytic functions [PDF]

Transactions of the American Mathematical Society, 1984
Let f f and g g (not conformal automorphisms of the unit disk) be analytic mappings of the unit disk into itself. We say f f and g g commute if f ∘ g = g ∘ f f \circ g = g \circ f .
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Certain Classes of Univalent Functions Associated With Deferential Operator [PDF]

Engineering and Technology Journal, 2017
The main objectives of this research work is to present and investigate thecertain subfamily of Bazilevic functions by making use the differential operatorwhich generalize of many operators presented by several authors, we have discussedand estimated on ...
M.S. A.Hussein
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New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains

Journal of Function Spaces, 2022
In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains.
Saima Noor, Asima Razzaque
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Regularization of distributions

International Journal of Mathematics and Mathematical Sciences, 1998
We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables.
Ricardo Estrada
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