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Fractal and Fractional, 2022 A special function is a function that is typically entitled after an early scientist who studied its features and has a specific application in mathematical physics or another area of mathematics.
Najla M. Alarifi, Rabha W. Ibrahim
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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 +2 more
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Properties of Functions Involving Struve Function
Mathematics, 2018 Let f ( z ) = z + ∑ n = 2 ∞ a n z n and g p , b , c ( z ) = z + ∑ n = 2 ∞ ( − c 4 ) n − 1 ( 3 2 ) n − 1 ( k ) n − 1 z n with
Jonathan Aaron Azlan Mosiun +1 more
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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
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Motivic-type Invariants of Blow-analytic Equivalence [PDF]
, 2002 To a given analytic function germ $f:(\mathbb{R}^d,0) \to (\mathbb{R},0)$, we associate zeta functions $Z_{f,+}$, $Z_{f,-} \in \mathbb{Z} [[T]]$, defined analogously to the motivic zeta functions of Denef and Loeser.
Koike, Satoshi, Parusinski, Adam
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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.
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Functional Dependence and Analytic Functions [PDF]
Canadian Mathematical Bulletin, 1979 AbstractWithout appealing to the Cauchy theorem or its corollaries, it is proved that the real and imaginary parts of a non-constant complex-valued analytic function of several complex variables are functionally independent. This unifies and generalizes some results sporadically treated in standard treatises on function theory.
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Wasit Journal for Pure Sciencesthe aim of this study was to give results differential Subordination and Superordination for analytic functions on third order and obtain some sandwich results through the new ...
maryam dheyaa alquzweeni
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The method of fundamental solutions for analytic functions in complex analysis
AIMS Mathematics, 2022 This paper extends the method of fundamental solutions (MFS) for solving the boundary value problems of analytic functions based on Cauchy-Riemann equations and properties of harmonic functions. The conformal mapping technique is applied to introduce the
Xiaoguang Yuan +3 more
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The Functional Equation and Beyond Endoscopy
, 2012 In his paper "Beyond Endoscopy," Langlands tries to understand functoriality via poles of L-functions. The following paper further investigates the analytic continuation of a L-function associated to a $GL_2$ automorphic form through the trace formula ...
Herman, P. Edward
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