Results 11 to 20 of about 79,736 (260)
One-loop Feynman integrals with Carlson hypergeometric functions [PDF]
EPJ Web of Conferences, 2019 In this paper, we present analytic results for scalar one-loop two-, three-, four-point Feynman integrals with complex internal masses. The calculations are considered in general space-time dimension D for two- and three-point functions and D=4 for four ...
Phan Khiem Hong
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Real analyticity for random dynamics of transcendental functions [PDF]
Ergodic Theory and Dynamical Systems, 2018 Analyticity results of expected pressure and invariant densities in the context of random dynamics of transcendental functions are established. These are obtained by a refinement of work by Rugh [On the dimension of conformal repellors, randomness and parameter dependency. Ann. of Math.
Mayer, Volker +2 more
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Algebras of real analytic functions: Homomorphisms and bounding sets [PDF]
Studia Mathematica, 1995 This article deals with bounding sets in real Banach spaces E with respect to the functions in A(E), the algebra of real analytic functions on E, as well as to various subalgebras of A(E). These bounding sets are shown to be relatively weakly compact and the question whether they are always relatively compact in the norm topology is reduced to the ...
Biström, P. +2 more
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ANALYTIC FUNCTIONS OF INFINITE ORDER IN HALF-PLANE
Проблемы анализа, 2022 J. B. Meles (1979) considered entire functions with zeros restricted to a finite number of rays. In particular, it was proved that if 𝑓 is an entire function of infinite order with zeros restricted to a finite number of rays, then its lower order ...
K. G. Malyutin +2 more
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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
Forum of Mathematics, Sigma, 2020 We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of ...
FRANCIS BROWN
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A note on approximation of continuous functions on normed spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
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Enabling quaternion derivatives: the generalized HR calculus [PDF]
Royal Society Open Science, 2015 Quaternion derivatives exist only for a very restricted class of analytic (regular) functions; however, in many applications, functions of interest are real-valued and hence not analytic, a typical case being the standard real mean square error objective
Dongpo Xu +3 more
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Extension sets for real analytic functions and applications to Radon transforms
International Journal of Mathematics and Mathematical Sciences, 1996 The real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s)=f(scosθ,ssinθ) for θ∈E, where E is a small set. A support theorem for Radon transforms in the plane is proved. In particular if fθ extends to
Vernor Arguedas, Ricardo Estrada
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General Integral Operator of Analytic Functions Involving Functions with Positive Real Part
Journal of Mathematics, 2013 Let be the integral operator defined by where each of the functions and are, respectively, analytic functions and functions with positive real part defined in the open unit disk for all .
B. A. Frasin
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Radii of Starlikeness of Ratios of Analytic Functions with Fixed Second Coefficients
Mathematics, 2022 We introduce three classes of analytic functions with fixed second coefficients that are defined using the class P of analytic functions with positive real parts.
Shalini Rana +2 more
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