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Continuation vs Switching Direct Oral Anticoagulant Therapy After Breakthrough Stroke.
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Analytic continuation of Lauricella's functions , and
Integral Transforms and Special Functions, 2020We construct formulas for analytic continuation of the Lauricella functions , and into the exterior of the domains, where they are initially defined by N-multiple hypergeometric series.
S I Bezrodnykh
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Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables
Integral Transforms and Special Functions, 2020The problem of analytic continuation is considered for the general hypergeometric Horn series with an arbitrary number of variables. An approach is proposed that allows one to find formulas for the continuation of such series into the exterior of the set
S I Bezrodnykh
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Remarks on Analytic Continuation
Bulletin of the London Mathematical Society, 1980The collection Jt of multi-valued analytic functions with three singular points z = a, b,c on the Riemann sphere ..., wn) ^ 0 with complex coefficients which vanishes identically when w0 is replaced by w(z) and the Wj are replaced by d w/dz. According to a theorem of Holder, the gamma function has this property, but T(z) is single-valued and has poles
Haimo, F., Singer, M. F., Tretkoff, M.
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ON A PROPERTY OF ANALYTIC CONTINUATION
Mathematics of the USSR-Izvestiya, 1980The behavior of analytic functions of several complex variables with respect to analytic continuation along certain sets in Cn is studied.Bibliography: 4 titles.
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On Effective Analytic Continuation
Mathematics in Computer Science, 2007Until now, the area of symbolic computation has mainly focused on the manipulation of algebraic expressions. It would be interesting to apply a similar spirit of "exact computations" to the field of mathematical analysis. One important step for such a project is the ability to compute with computable complex numbers and computable analytic functions ...
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The Analytic Principle of Continuity
The American Mathematical Monthly, 2005arguments with complex ones. We come across instances of the use of this device if we study the evolution of geometry beginning with Kepler. Most of the mathematicians who used this device referred to it as the principle of continuity (this term is sometimes also used in the sense of an axiom of continuity of a space, such as "Dedekind's Principle" or "
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