Results 21 to 30 of about 1,311,367 (274)

Analytic Error Function and Numeric Inverse Obtained by Geometric Means

Stats, 2023
Using geometric considerations, we provided a clear derivation of the integral representation for the error function, known as the Craig formula. We calculated the corresponding power series expansion and proved the convergence.
Dmitri Martila, Stefan Groote
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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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The Lerch Zeta Function II. Analytic Continuation [PDF]

, 2010
This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. In this paper we analytically continue it as a function of three complex variables.
Apostol T. M., Barnes E. W., Berndt B., Hurwitz A., Lipschitz M., Lipschitz M., Mikolas M., Oberhettinger E.   +7 more
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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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Refined analytic torsion as analytic function on the representation variety and applications [PDF]

, 2016
We prove that refined analytic torsion on a manifold with boundary is an analytic section of the determinant line bundle over the representation variety. As a fundamental application we establish a gluing formula for refined analytic torsion on connected
Braverman, Maxim, Vertman, Boris
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Real analyticity of Hausdorff dimension for expanding rational semigroups [PDF]

, 2009
We consider the dynamics of expanding semigroups generated by finitely many rational maps on the Riemann sphere. We show that for an analytic family of such semigroups, the Bowen parameter function is real-analytic and plurisubharmonic.
Sumi, Hiroki, Urbanski, Mariusz
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On Analytic Univalent Function Associated With Tangent Hyperbolic Function [PDF]

Sahand Communications in Mathematical Analysis
Within this article, we propose some sufficient conditions for analytic functions correlated with tangent hyperbolic function. We investigate convolution conditions, integral conservation properties and coefficient sufficiency criteria for this family of
Gehan Elyazyd, Matthew Oluwayemi, Atef Elmahdy, Hanan Darwish   +3 more
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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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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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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, Neidhardt, Hagen, Peller, Vladimir   +2 more
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