Results 31 to 40 of about 13,689,528 (374)
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
doaj +1 more source
A trace formula for functions of contractions and analytic operator Lipschitz functions [PDF]
, 2017 In this note we study the problem of evaluating the trace of $f(T)-f(R)$, where $T$ and $R$ are contractions on Hilbert space with trace class difference, i.e., $T-R\in\boldsymbol{S}_1$ and $f$ is a function analytic in the unit disk ${\Bbb D}$.
Malamud, Mark +2 more
core +3 more sources
Fluctuations in the Zero Set of the Hyperbolic Gaussian Analytic Function [PDF]
, 2013 The zero set of the hyperbolic Gaussian analytic function is a random point process in the unit disc whose distribution is invariant under automorphisms of the disc. We study the variance of the number of points in a disc of increasing radius.
Jeremiah Buckley
semanticscholar +1 more source
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
doaj +1 more source
Moments of analytic functions [PDF]
Proceedings of the American Mathematical Society, 1955 There are many theorems which state that an analytic function which is of sufficiently slow growth in a half-plane and tends sufficiently rapidly to zero along an interior line must vanish identically. Recently a theorem of this sort was proved by San Juan [4] and Sunyer Balaguer [5], where the condition of rapid approach to zero is expressed ...
openaire +2 more sources
AIMS Mathematics, 2021 In the article we introduce and investigate several new subclasses of q-starlike and q-convex type analytic and multivalent functions involving a generalized Bernardi integral operator, and establish the Fekete-Szegö type functional inequalities for ...
Pinhong Long, Huo Tang, Wenshuai Wang
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
On Some New Results in Large Area Nevanlinna Spaces in the Unit Disk
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 The study of various infinite products in various spaces of analytic functions in the unit disk is a well known and well studied problem of complex function theory in the unit disk.
Shamoyan, R., Mihi´c, O.
doaj +1 more source
Comprehensive analytic formulae for stellar evolution as a function of mass and metallicity [PDF]
, 2000 We present analytic formulae that approximate the evolution of stars for a wide range of mass M and metallicity Z. Stellar luminosity, radius and core mass are given as a function of age, M and Z, for all phases from the zero-age main sequence up to, and
J. Hurley, O. Pols, C. Tout
semanticscholar +1 more source