Global Complexification of Real Analytic Restricted Log-Exp-Analytic Functions [PDF]
arXiv, 2022 We show that a real analytic restricted log-exp-analytic function has a holomorphic extension which is again restricted log-exp-analytic. We also establish a parametric version of this result.
arxiv
Geometric Nature of the Turánian of Modified Bessel Function of the First Kind
AxiomsThis work explores the geometric properties of the Turanian of the modified Bessel function of the first kind (TMBF). Using the properties of the digamma function, we establish conditions under which the normalized TMBF satisfies starlikeness, convexity,
Samanway Sarkar +3 more
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Some subordination theorems associated with a new operator
Le Matematiche, 2010 In this paper we introduce a linear operator and obtain certain differential subordination properties associated with this linear operator. Some relevant consequences of the main results including new variations of earlier known results are also pointed ...
Deepak Bansal, Ravindar K. Raina
doaj
Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
Entropy, 2018 In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions.
Rabha W. Ibrahim, Maslina Darus
doaj +1 more source
On sequences not enjoying Schur’s property
Open Mathematics, 2017 Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some
Jiménez-Rodríguez Pablo
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Operator $k$-tone functions and analytic functional calculus [PDF]
arXiv, 2015 Operator $k$-tone functions on an open interval of the real line, which are higher order extensions of operator monotone and convex functions, are characterized via certain inequalities for the real and imaginary parts of analytic functional calculus by those functions.
arxiv
Analytic Function Approximation by Path-Norm-Regularized Deep Neural Networks. [PDF]
Entropy (Basel), 2022 Beknazaryan A.
europepmc +1 more source
A p-adic approach to local analytic dynamics: analytic flows and analytic maps tangent to the identity [PDF]
arXiv, 2007 In this note, we will consider the question of local equivalence of analytic functions which fix the origin and are tangent to the identity, as well as the question of flows of analytic vector fields. All mappings and equivalences are considered in the non-archimedean context e.g. all norms can be considered $p$-adic norms.
arxiv
Upper and lower bounds of integral operator defined by the fractional hypergeometric function
Open Mathematics, 2015 In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions ...
Ibrahim Rabha W. +2 more
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Analyticity and propagation of plurisubharmonic singularities [PDF]
Functional Analysis and Complex Analysis. Contemporary
Mathematics, Vol. 481, 137-143. AMS, 2009., 2008 A variant of Siu's analyticity theorem is proved for relative types of plurisubharmonic functions. Some results on propagation of plurisubharmonic singularities and maximality of pluricomplex Green functions with analytic singularities are derived.
arxiv